# MATHEMATICS : Time, Speed & Distance online Test

60 km/h

59.4 km/h

61.5 km/h

None of these

An express train traveled at an average speed of 100 kmph, stopping for 3 minutes after 75 km. A local train traveled at a speed of 50 kmph, stopping for 1 minute after every 25km. if the trains began traveling at the same time it took the express train to travel 600km?

900 km

307.5km

1200km

1000km

Wheels of diameters of 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1,980 cm apart, towards each other in opposite directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is :

44 cm/s

22 cm/s

66 cm/s

132 cm/s

A can do a piece of work in 10 days, while B can alone do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Rs.450 for the whole work, how should they divide the money?

Rs. 225, Rs. 150, Rs. 75

Rs. 250, Rs. 100, Rs. 100

Rs. 200, Rs. 150, Rs. 100

Rs. 175, Rs. 175, Rs. 100

A ship 77 km from the shore, springs a leak which admits to 2 ¼ tones of water in 5 ½ minutes. 92 tonnes of water would sink it. But the pumps can throw out 12 tonnes of water per hour. Find the average rate of sailing so that the ship may just reach the shore as it begin to sink :

10.5 km/h

11 km/h

10 km/h

12.5 km/h

A contractor undertakes to build a wall in 50 days. He employs 50 people for the same. However after 25 days he finds that only 40% of the work is complete the work in time?

25

30

35

20

Train A running at 60 km/h leaves Delhi at 6 pm, train B running at 90 km/h leaves Mumbai for Delhi at 9pm. Train C leaves Delhi for Mumbai 9pm. If all the three trains meet at the same time between Mumbai and Delhi, then what is the speed of train C if distance between Delhi and Mumbai is 1260 km:

60 km/h

90 km/h

120 km/h

135 km/h

An aeroplane first flew with the speed of 40 km/h and covered a certain distance. It shall had to cover 770 km less than what it had already covered but it flew with the speed of 660 km/h. The average speed for the entire flight was 550km/h. Find the total distance covered :

3250 km

2750 km

4400 km

1375 km

A train leaves station X at 5 am and reaches station Y at 9 am. Another train leaves station Y at 7 am and reaches station X at 10 : 30 am. At what time do the two trains cross each other?

7 : 36 am

7 : 56 am

8 : 36 am

8 : 56 am

Three pipes A, B and C can fill a tank in 6 minutes, 8minutes and 12 minutes respectively. The pipe C is closed 6 minutes before the tank is filled. In what time will the tank be full?

4 min

6 min

5 min

Data inadequate

P, Q and R are the three towns on a river which flows uniformly. Q is equidistant from P and R, I row from P to Q and back in 10 hours and I row from P to R in 4 hours. Compare the speed of my boat in still water with that of the river :

4 : 3

5 : 3

6 : 5

7 : 3

A pipe can fill a tank in 15 minutes and another one in 10 minutes. A third pipe can empty the tank in 5 minutes. The first two pipes are kept open for 4 minutes in the beginning and then the third pipe is also opened. In what time will the tank be emptied:

35 min

15min

20 min

Cannot be emptied

A and b can finish a job in 10 days while B and C can do it in 18 days. A started the job, worked for 5 days, then b worked for 10 days and the remaining job was finished by C in 15 days, In how many days could C alone have finished the whole job?

30

15

45

24

A certain number of people were supposed to complete a work in 24 days. The work, however, took 32 days, since 9 people were absent throughout. How many people were supposed to be working originally?

32

37

36

30

Cloth markers Inc. have p spindles, each of which can produce q metres of cloth on a average in r minutes. If the spindles are made to run with no interruption, then how many hours will it take for 20,000 metres of cloth to be produced?

20000 (pq) / r

20000 (rq) / p

20000 (pr) / (pq)

20000r / 60 (pq)

A boat, while going down-stream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. While returning because of the water resistance, it took one hour fifteen minutes to cover the same distance. What was the average speed during the whole journey?

40 mph

48 mph

50 mph

55 mph

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

648

1,800

2,700

10,800

Three-fourth of a tank is full of water. If 5 litres are added to it then fourth-fifth of the tank becomes full. What is the capacity of the tank?

75 L

80 L

100 L

120 L

Excluding stoppages, the speed of a train in 45 km/h and including stoppage, it is 36 km/h. For how many minutes does the train stop per hour?

10

12

15

18

A tap can fill a tank in 16 minutes and another can empty it in 8 minutes, if the tank is already ½ full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled or emptied completely as the case may be?

Emptied ; 16 min

Filled ; 8 min

Emptied ; 8 min

Filled ; 12 min

Rohit, Harshan and Sanjeev are three typists who working simultaneously can type 216 pages in four hours. In one hour Sanjeev can type as many pages more than Harshan as Harshan can type more than Rohit. During a period office hours Sanjeev can type as many pages of Rohit can during seven hours. How many pages does each of them type per hour?

16, 18, 22

14, 17, 20

15, 17, 22

15, 18, 21

Mr. Ram is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs. 3. The number of days of mr. Ram’s tour programme is:

20 days

24 days

40 days

42 days

Two men and 7 children complete a certain piece of work in 4 days while 4 men and 4 children complete the same work in only 3 days. The number of days required by 1 man to complete the work is :

60 days

15 days

6 days

51 days

A can do a work in 9 days. If B is 50% more efficient to A, then in how many days can b do the same work?

13.5

4.5

6

3

The jogging track in a sports complex is 726 metres in circumstance. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/h and 3.75 km/h respectively. They meet for the first time in:

5.5 min

6.0 min

5.28 min

4.9 min

1/3 rd of the contents of a container evaporated on the 1st day, ¾th of the remaining evaporated on the second day. What part of the contents of the container is left at the end of the second day:

¼

½

1/18

1/6

There are 20 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole. How much more time will it take to reach the last pole?

25.25 s

17.45 s

35.75 s

41.45 s

In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner what is the time taken by top runner to finish the race?

20 min

15 min

10 min

5 min

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. the faster train passed the slower train in 36 sec. The length of each train is :

50 m

80 m

72 m

82 m

Wheels of diameter 7 cm and 14 cm start rolling simultaneously from X an Y which are 1980 cm apart towards each other in opposite directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds the speed of the smaller wheel is:

33 cm/s

44 cm/s

66 cm/s

132 cm/s

If 5 men take an hour to dig a ditch, then how long should 12 men take to dig a ditch of the same type?

25 min

30 min

28 min

20 min

A worker makes a basket in2/3 of an hours. If he works for 7 ½ hours then how many baskets will he make?

10 ¾

11 ¼

12 ½

13

A starts 3 min after B for a place 4.5 km distance B on reaching his destination immediately return and after walking a km meets A. If A can walk 1 km in18 minutes then what is B’s speed?

5 km/h

4 km/h

6 km/h

3.5 km/h

A train can travel 30m% faster than a car. Both start from the point A at the same time and reach point b, 75 km away from A at the same time. On the way however the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

50 km/h

55 km/h

60 km/h

65 km/h

A gun is fired at a distance of 3.32 km from Babar. He hears the sound 10 second later. Find the speed of the sound:

301 m/s

302 m/s

332 m/s

340 m/s

A pipe can fill a cistern in 6 hours. Due to leak in its bottom it is filled in 7 hours. When the cistern is full, in how much time will it be emptied by the leak?

42 h

40 h

43 h

45 h

‘A’ can do a piece of work in 25 days ‘B’ in 20 days. They work together for 5 days and then ‘A’ goes away. In how many days will ’B’ finish the remaining work?

17 days

11 days

10 days

None of these

A circular running path is 726 metres in circumference. Two men start from the same point and walk n opposite directions @ 3.75 km/h and 4.5 km/h respectively. When will they meet for the first time?

5.5 min

6.0 min

5.28 min

4.9 min

A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train traveling?

57 km/h

60 km/h

63 km/h

55 km/h

A leak was found in a ship when it was 77 km from the shore. It was found that the leak admits 2.25 tonnes if water in 5.5 minutes 92 tonnes will suffice to sink the ship. But the pumps can throw out the water @ 12 tonnes and hour. Find the average rate of sailing a which the ship may reach the shore as it begins to sink:

9.75 km/h

13 km/h

14.5 km/h

10.5 km/h

A race course in400 meters long. A and b run a race and A wins by 5 meters. B and C run over the same course and b win by 4 metres. C and D run over it and D wins by 16 metres. If A and D run over it, then who would win and by how much?

A, by 8.4 metres

D, by 8.4 metres

D, by 7.2 metres

A, by 7.2 metres

A car drives travels from the plants to the hill station, Which are 200 km a part at an average speed of 40 km/h. In the return trip he covers the same distance at an average speed of 20 km/h the car. The average speed the car over the entire distance of 400 km is:

16.56 km/h

17.89 km/h

26.67 km/h

35 km/h

A train 110 m in length travels at 60 km/h. How much time does the train take in passing a man walking at 6 km/h against the train:

6 s

12 s

10 s

18 s

A passenger train takes two hours less for a journey of 300 km. if its speed is increased by 5 km/h from its normal speed. The normal speed is:

35 km/h

50 km/h

25 km/h

30 km/h

A motor boat whose speed is 15 km/h in still water goes 30 km downstream and comes back in four and a half hours. The speed of the stream is:

45 km/h

6 km/h

7 km/h

5 km/h

Point A and B are 70 km apart on highway. One car starts from A and the other one from B at the same time. If they travel in the same direction, they meet in 7 hours. But if they travel towards each other, they meet in one hour. The speeds of the two cars are:

45 and 25 km/h

70 and 10 km/h

40 and 30 km/h

60 and 40 km/h

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the speed of the car is:

4 : 3

3 : 4

3 : 2

2 : 3

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is:

10 km/h

4 km/h

14 km/h

6 km/h

In a flight 0f 3000 km an aircraft was slowed down by bad weather. If average speed for the trip was reduced by 100 km/h and the time increased by one hour, find the original duration of the flight.

5 hours

6 hours

4 hours

None of these

Pipes A and B Running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern then the time in which A and B will fill the cistern separately will be respectively:

15 min, 20 min

15 min, 10 min

10 min , 15 min

25 min, 20 min

**Description:**

Paper consists of 50 question which are required to be finished in an hours time.

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