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Time & Distance

Important Instructions
41.

How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?

Answer: C

D = 100 + 150 = 250

S = 36 * 5/18 = 10 mps

T = 250/10 = 25 sec

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42.

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

Answer: B

No answer description available for this question.
 

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43.

P, Q and R are in a cycle race of 4500 meters. P cycles twice as fast as Q. R cycles 1/3rd as fast as Q. R completes the race in 45 minutes. Then where was Q from the finishing line when P finished the race?

Answer: C

No answer description available for this question.

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44.

Surendra travels from home to office by car. With an average speed of 50 km/hr, he is late by 30 minutes. But when he comes with a speed of 60 km/h, he reaches his office 10 minutes earlier. How far is his office from his home?

Answer: C

No answer description available for this question.

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45.

A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?

Answer: B

D = 25 * 60 + 1500 = 3000 m

T = 3000/60 * 18/5 = 180 sec = 3 mins

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46.

In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?

Answer: D

T = 60/36 * 18/5 = 6 sec

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47.

A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.

Answer: C

Total time taken = x/40 + 2x/20 hours

 = 5x/40 = x/8 hours 

Average speed = 3x/(x/8) = 24 kmph

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48.

Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?

Answer: C

D = 250 m + 250 m = 500 m

RS = 80 + 70 = 150 * 5/18 = 125/3

T = 500 * 3/125 = 12 sec

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49.

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?

Answer: C

RS = 5 ¾  - 4 ½ = 1 ¼

T = 3 ½ h.

D = 5/4 * 7/2 = 35/8 = 4 3/8 km

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50.

If Ajay drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office?

Answer: B

Let t be his usual time to reach his office and v be his usual speed.
v = d/t ……….(d is the distance Ajay travels while going to his office)
vt = d
At v1 = 4v/5 ; t1 = t + 6
4v/5 = d/(t + 6)
4v/5* (t + 6) = d
4v/5* (t + 6) = vt
On solving we get,
t = 24 minutes

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