A train overtakes two persons walking alo… | Answer

Subject

Quantitative Aptitude

Topic

Speed & Distance

A train overtakes two persons walking along a railway track. The first one walks at 5 km/hr. The other one walks at 4 km/hr. The train needs 4 and 5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
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ক)

66 km/hr

খ)

72 km/hr

গ)

78 km/hr

ঘ)

81 km/hr

Explanation

4.5 km/hr = (4.5 x (5/18)) m/sec =5 m/sec. = 1.25 m/sec, and 5.4 km/hr = (5.4 x (5/18)) m/sec = 3 m/sec = 1.5 m/sec. Let the speed of the train be x m/sec. Then, (x - 1.25) x 8.4 = (x - 1.5) x 8.5 => 8.4x - 10.5 = 8.5x - 12.75 => 0.1x = 2.25 => x = 22.5 Therefore, Speed of the train = (22.5 x 18/5) km/hr = 81 km/hr.

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A train overtakes two persons walking along a railway track. The first one walks at 5 km/hr. The other one walks at 4 km/hr. The train needs 4 and 5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?Reading

A train overtakes two persons walking along a railway track. The first one walks at 5 km/hr. The other one walks at 4 km/hr. The train needs 4 and 5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

Explanation

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A train overtakes two persons walking along a railway track. The first one walks at 5 km/hr. The other one walks at 4 km/hr. The train needs 4 and 5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
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