Subject
Quantitative Aptitude
Topic
Speed & Distance
A train 75 metres long overtook a person (going in the same direction) who was walking at the rate of 6 km an hour, and passed him in seconds. Subsequently it overtook a second person (going in the same direction), and passed him in seconds. At what rate was the second person travelling?
A train 75 metres long overtook a person (going in the same direction) who was walking at the rate of 6 km an hour, and passed him in seconds. Subsequently it overtook a second person (going in the same direction), and passed him in seconds. At what rate was the second person travelling?
ক)
2 km/hrখ)
3 km/hrগ)
5 km/hrঘ)
6 km/hrঙ)
None of theseExplanation
When the train passes the 1st person, Distance covered by the train = 0.075 km Speed (Relative) = x – 6 (where x is the the assumed speed of the train) Time = 7.5/3600 hrs Speed = Distance/Time ∴ x – 6 = ∴ x = 42 km/hr Thus the speed of the train is 42 km/hr Case 2: When the train passes the 2nd person Distance = 0.075 km Time = 6.75/3600 hrs Speed = 42 – y (Where y is assumed to be the speed of the 2nd person) Speed = Distance/Time ∴ 42 – y = 0.075/(6.75/3600) ∴ y = 2km/hr Thus the 2nd person was walking with the speed of 2km/hrRelated questions
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