Question

A car travels a certain distance with a speed of 50km/h returns with a speed of 40km/h . calculate the average speed for the whole journey

Answer 1

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$\huge\bold\purple{ANSWER:}$

❇❇ Let the one way distance be x km.

❇ Time taken in the forward journey at a speed of 50 km/h = Distance/Speed = x/50 h

❇ Time taken in the return journey at a speed of 40km/h = x/40 h

❇ Total time for the whole journey= x/50 + x/40 = 4x + 5x/ 200 = 9x/200 h

❇ Total distance covered = x + x = 2x km

Now, average speed= Total distance/Total time

→ 2x/9x/200 = 2x ×200/9x = 400/9 = 44.44 km/h

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