A train travels from a city A to city B with a constant speed of 10 m/s and returns back to city A in half of the time taken to travel from A to B. Find its average speed during the entire journey.

goldenlink7ydw

goldenlink7ydw

Answered question

2023-02-21

A train travels from a city A to city B with a constant speed of 10 m/s and returns back to city A in half of the time taken to travel from A to B. Find its average speed during the entire journey.
A) 40 m/s
B) 30 m/s
C) 15 m/s
D) 40 3 m/s

Answer & Explanation

reescameriama10

reescameriama10

Beginner2023-02-22Added 4 answers

The correct answer is D) 40 3 m/s
Let distance between the two cities A and B be x m.
Speed of train while going from A to B=10 m/s
Time taken by train to travel from A to B
t 1 = x 10
and time taken by train to travel from B to A
t 2 = t 1 2 = x 20
Average speed = total distance total time
v a v g = x + x x 10 + x 20
Hence, v a v g = 2 x x 10 + x 20 = 40 3 m / s

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