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51.

The ratio between the speeds of two trains is 4:5. If the second train runs at 250 km in 5h, then the speed of the first train is:

Answer»

40 km/h



NA

52.

A certain distance is covered at a certain speed. if double the distance is covered in 3/4 of the time, the ratio of the two speeds is:

Answer»

3:8



NA

53.

The average speed of a car is 1(4/5) times the average speed of a bus. A tractor covers in 575 km in 23 h. How much distance will the car cover in 4h if the speed of the bus is twice speed of the trac

Answer»

360 km



NA

54.

How many seconds does Puja take to cover a distance of 500 m, if she runs at a speed of 30 km/hr?

Answer»

60 sec



NA

55.

Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9

Answer»

30



Distance travelled by Ramu = 45 * 4 = 180 km

Somu travelled the same distance in 6 hours.

His speed = 180/6 = 30 km/hr

HENCE in the CONDITIONAL case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.

Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence DIFFERENCE in the time taken = 0.5 hours = 30 minutes.

56.

Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?

Answer»

600 m



Distance COVERED by AMAR = 18/4.8 (1.6km) = 3/8(1600) = 600 m

57.

A car is running at 7/10 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed ?

Answer»

8hours



Since the car runs at 7/11 th of its own speed, the time it take is 11/7th of its usual speed.
let the usual time taken be t hours
then we can WRITE, 11T / 7 = 22
or t= 22 * 7 / 11 = 14 hours
Time saved= 22 - 14 = 8hours

58.

An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?

Answer»

6 HRS 21 min



NA

59.

The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will

Answer»

5.28 min



NA

60.

A car completes a journey in 11 hrs. It covers the first half of the journey at the rate of 50 km/hr and the second half at the rate of 60 km/hr. The distance of total journey is

Answer»

600 KMS



A car COMPLETES a journey in 11 hrs.
It covers the first half of the journey at the rate of 50 KM/hr and the second half at the rate of 60 km/hr.
The distance of total journey is GIVEN by 
11*100*120/(100 + 120) km = 600 kms

61.

A man takes 4 h 20 min in walking to a certain place and riding back. If he walk on both sides he losses 1 h. The time he would take by riding both ways is ?

Answer»

3 H 20 min



NA

62.

The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?

Answer»

75 KMPH



S = (90 + 60)/2 = 75 kmph

63.

A car covers a distance of 720 km in10 hrs. What is its speed in mps.

Answer»

20 m/s



Distance = SPEED X Time
Speed = (720/10) = 72 kmph
Spees in MPS = 72 x 5/18 = 4 x 5 = 20 mps.

64.

A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.

Answer»

70 km



NA

65.

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay’s speed is

Answer»

5 kmph



NA

66.

A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?

Answer»

6O Kmph



NA

67.

If a motor car covers a distance of 250 m in 25 second, What is its speed in kilometer per hour ?

Answer»

36



NA

68.

A cyclist covers a distance of 800 meter in 4 minutes 20 seconds. What is the speed in km/hr of the cyclist?

Answer»

11.05 km/hr



NA

69.

In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?

Answer»

8 m/s



Since A BEATS B by 200 m or 25 SECONDS, i

t IMPLIES that B covers 200 m in 25 seconds. 

Hence speed of B = 200/25 = 8 m/s.

70.

A left P for Q at 9:00 am and B left P for Q at 10:00 am. If the speeds of A and B are 60 kmph and 80 kmph respectively, at what time do they meet, given that P and Q are 1000 km apart?

Answer»

1:00 pm



NA

71.

If a man covers 10.2 km in 3 hours, the distance covered by him in 5 hours is:

Answer»

17km



NA

72.

A man is running at a speed 90 km/h. What distance will it cover in 20 seconds?

Answer»

500 m



NA

73.

A man can row a boat 10 km/hr in still water. When the speed of the stream is 4 km/hr, it takes 30 hours to row to a certain place and come back. How far is the place ?

Answer»

126 KM



D = 30X(100-16)/2X10
= 30x84/20
= 126 km

74.

Two persons start simultaneously from A and B towards B and A respectively. The first person reached B in 10 minutes and the second person reached A in 15 minutes from the time of their start. In how

Answer»

6



Let the DISTANCE between A and B is 'd' km.
To meet, they have to COVER together a distance, 'd' km.
In one minute the total distance travelled by them = d/10 + d/15 = d/6
Hence, in 6 MINUTES they will meet each other.

75.

There are two friends A and B. A starts with his car at the speed 40 kmph. B starts one hour later from the same place, in the same direction on his bike at the speed of 50 kmph. After how many hours

Answer»

 4 h



NA

76.

Kanchan walks from her home at 4 kms per hour and reaches her school 5 minutes late. If she walks at 5 kms per hour, she reaches the school 2 1/2 minutes earlier. How far is the school from her home?

Answer»

2.5 kms



NA

77.

Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speed

Answer»

11 : 9



NA

78.

In an hour a boat goes 11 km along the stream and 5 km against the stream. The speed of the stream (in km/h) is:

Answer»

8



NA

79.

A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A’s speed is equal to

Answer»

4 km/hr



NA

80.

Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?

Answer»

10 HOURS



Let the TIME taken to cover from A to B in CAR and cycle be x hours and y hours respectively.

x + y = 7 --- (1) ; 2x = 4 --- (2)

solving both the equations, we get y = 5

So, time taken to cover both ways by cycle = 2Y hours = 10 hours.

81.

A beats B by 10 meters in a 100 meters race. If B beats C by 20 meters in the same race, then A beats C by how many meters, in that race?

Answer»

28



Ratio of speeds of A and B is 100 : 90 = 10 : 9
Ratio of speeds of B and C is 100 : 80 = 10 : 8
Ratio of speeds of A, B and C is 100 : 90 : 72
So, A : C = 100 : 72
Hence, A BEATS C by 28 METERS.

82.

A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

Answer»

224 km



NA

83.

A person goes to his office from his home at the speed of 4 km/h and return back at the speed of 6 km/h. Find the average speed of the person ?

Answer»

4.8 km/h



NA

84.

A train travelling at a speed of 30 m/s crosses a 600 m long platform in 30s. Find the length of the train?

Answer»

300m



NA

85.

A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for the both the trips?

Answer»

48 kmph



NA

86.

A speed of 36 km/hr is the same as:

Answer»

10 m/sec



NA

87.

Two cyclists A and B are cycling around a circular track of 150 m length with respective speeds of 10 m/sec and 15 m/sec. What is the time taken by them to meet for the first time right at their start

Answer»

30 seconds



The TIME taken by A to complete ONE round = 150/10 = 15 seconds.
The time taken by B to complete one round = 150/15 = 10 seconds.
hence, After a time which is the LCM of (15,10) seconds, they will MEET right at the starting point i.e. after 30 seconds.

88.

A car covers four successive three km stretches at speeds of 10km/hr, 20 km/hr, 30 km/hr respectively. Its average speed over this distance is:

Answer»

20 km/hr



NA

89.

A and B start simultaneously from a certain point in east and west directions on bicycles. The speed of A is 30 km/h and that of B is 40 km/h. what is the distance between A and B after 24 min?

Answer»

28 km



NA

90.

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1\frac{2}{3} hours, it must travel at a speed of:

Answer»

720 kmph



NA

91.

Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other

Answer»

90 SEC



Let the length of each TRAIN be X m.

 (x + x) / (60 + 30)5/18 = (750 * 18) / (30 * 5) = 90 sec.

92.

The ratio between the speeds of two trains is 7:8. If the second train runs 400 kms in 4 hours, then the speed of the first train is

Answer»

70 km/hr



NA

93.

A and B are 25 km apart. If they travel in opposite directions, they meet after one hour. If they travel in the same direction, they meet after 5 hours. If A travels faster than B, then the speed of A

Answer»

15 km/hr



15 km/hr

94.

A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?

Answer»

7.2



NA

95.

A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/h and 6km/h and passes them completely in 36 seconds and 30 seconds respectively

Answer»

150m



NA

96.

In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?

Answer»

5 km/hr



NA

97.

A person has to cover a distance of 6 km in 45 min. If he covers 1/2 of the distance in 2/3 of the total time, to cover the remaining distance in the remaining time, his speed (in kmph) must be?

Answer»

12 KMPH



REMAINING distance = 3 km
And remaining time = 45 x 1/3 = 15 min = 1/4 hour.
Required SPEED = (3 x 4) kmph = 12 kmph.

98.

Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?

Answer»

28 min



Speed RATIO = 1:7/6 = 6:7

Time Ratio = 7:6

1 -------- 7

99.

A train moving with uniform speed crosses a pole in 2 s and a 250 m long bridg e in 7 s. Find the length of the train?

Answer»

100m



NA

100.

A boy goes to his school from his house at a speed of 3 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is:

Answer»

6 km



NA