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Time and Speed Formula for Competitive Exams

3 years ago 13.4K Views
Q :  

Two places P and Q are 92 km apart. A train leaves P for Q and at the same time another train leaves Q for P. Both the trains meet 4 hrs after they start moving. If the train travelling from P to Q travels 7 km/hr faster than the other train, find the speed of the two trains.

(A) 15 km/hr, 8 km/hr

(B) 12 km/hr, 8 km/hr

(C) 12 km/hr, 9 km/hr

(D) 15 km/hr, 9 km/hr

(E) None of these

Correct Answer : A

Q :  

It takes 53 seconds to cross a pole at the end of a 110-meter-long train with a speed of 36 km / h. Find the initial distance of the pole from its front end.

(A) 530 meter

(B) 420 meter

(C) 1798 meter

(D) 640 meter

Correct Answer : B

Q :  

A passenger train leaves Calcutta at 4 PM and travels at the rate of 30 kilometres an hour. The mail train leaves Calcutta at 9 PM and travels, on a parallel line of rails, at the rate of 45 km an hour, when will the second train overtake the first?

(A) 10 hrs after the first train start

(B) 12 hrs after the second train starts

(C) 10 hrs after the second train starts

(D) 12 hrs after the first train starts

(E) None of these

Correct Answer : C

Q :  

A man sets out on a journey. He travelled for a total of 16 hours. He covered the first half of the distance at a speed of 40 km / h and the second half at 60 km / h. What is the total distance he travelled?

(A) 384 km

(B) 768 km

(C) 576 km

(D) 960 km

Correct Answer : B

Q :  

Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B ?

(A) 15 kmph

(B) 35 kmph

(C) 30 kmph

(D) 25 kmph

(E) 20 kmph

Correct Answer : E

Q :  

The ratio of the speeds of the two airplanes is 7:15. If the first airplane covers a distance of 1050 km in 3 hours, what is the speed of the second airplane?

(A) 675 km/hour

(B) 750 km/hour

(C) 900 km/hour

(D) 720 km/hour

Correct Answer : D

Q :  

Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hour and 40 km/hour respectively. By the time they met the first train had travelled 100 km more than the second. Find the distance between P and Q?

(A) 500 km

(B) 630 km

(C) 660 km

(D) 900 km

Correct Answer : D

Q :  

If the speed of the boat in still water is 20 km / h and the speed of the stream is 5 km / h, then how long will it take for the ferry to travel 100 km with the speed of the stream?

(A) 5 hours

(B) 4 hours

(C) 3 hours

(D) 8 hours

Correct Answer : B

Q :  

A train of length 212 meter is running at 45 km/h. In what time (in seconds) will it cross a platform of length 188 meter?

(A) 32

(B) 40

(C) 42

(D) 36

Correct Answer : A

Q :  

A and B started travelling towards each other at the same time, from Place X to Y and Y to X, respectively. After crossing each other, A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/h, then what was the speed (in km/h) of A?

(A) 10.8

(B) 11.7

(C) 12.6

(D) 9.9

Correct Answer : A

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