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Quantitative Aptitude- Speed & Distance

1)Two trains A and B of equal length of 200 metres running in opposite direction cross each other in16 seconds. What is the speed of train A?

(a) 90 km/hr.

(b) 40 km/hr.

(c)80 km/hr.

(d)Data inadequate

(e)None of these

2)An employee may. claim Rs 7.00 for each km when he travels by taxi and Rs 6.00 for each km if he drives his own car. If in one week he claimed Rs 675 for travelling 90 km, how many kms did he travel, by taxi?

(a)135

(b)155

(c)162

(d)170

(e)None of these

3)A train B speeding with 120 kmph crosses another train C running in the same direction, In 2 minutes. If the lengths of the trains B and C be 100m and 200m respectively, what is the speed (in kmph) of the train C ?

(a)111

(b)123

(c)127

(d)129

(e)None of these

4)A train crosses a 300 metre long platform in 38 seconds while it crosses a signal pole in 18 seconds. What is the speed of the train in kmph ?

(a)Cannot be determined

(b)72

(c)48

(d)54

(e)None of these

5)A man goes uphill with an average speed of 24 kmph. and comes down with an average speed of 36 kmph.The distance travelled in both the cases being the same. The average speed (irt kmph) for the entire journey is:

(a)30

(b)28.8

(c)32.6

(d)30.8

(e)None of these

6)A train overtakes two persons , who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph, and passes them completely in 9 and 10 seconds respectively. The

length of the train (in metres) is :

(a)54

(b)50

(c)45

(d)

(e)None of these

7)Train-A crosses a pole in 33 seconds and another Train-B crosses a pole in 55 seconds. Length of Train-A is three-fourth of Train-B. What is the respective ratio between the speed of Train-A and Train-B ?

(a)5:11

(b)5:04

(c)11:03

(d)Cannot be determined

(e)None of these

8)There is a hill behind a person’s house. He walks up the top ofthe hill at a speed of 3/2 km/ hour, but walks down it at 4km/hour. If it takes him 6hours for the entire journey, the distance, in km, from his house to the top of the hill is

(a) 21/4

(b)6

(c)27-Apr

(d)9

(e)None of these

9)Directions : The cost of fuel running the engine of an army tank is proportional to the square of the speed and Rs. 64 per hour for a speed of 16 kmph. Other costs amount to Rs. 400 per hour. The tank has to make a journey of 400 km at a constant speed. – The most economical speed for this journey is :

(a) 20 kmph

(b)30 kmph

(c) 35 kmph

(d) 40 kmph

(e)None of these

10)Directions : The cost of fuel running the engine of an army tank is proportional to the square of the speed and Rs. 64 per hour for a speed of 16 kmph. Other costs amount to Rs. 400 per hour. The tank has to make a journey of 400 km at a constant speed. – The total cost for the journey at this most economical speed is :

(a) Rs. 6000

(b) Rs. 8000

(c) Rs. 10000

(d) Rs. 11000

(e)None of these

 

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