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The ratio of average speed of onward to the average speed of return journey is 7 ∶ 5. If the time taken in the whole journey of 490 km is 24 hours. Find the speed of train in onward journey?

The ratio of average speed of onward to the average speed of return journey is 7 ∶ 5. If the time taken in the whole journey of 490 km is 24 hours. Find the speed of train in onward journey? Correct Answer 24.5 km / hr

Given∶

The ratio of average speed of onward to the the average speed of return journey is 7 ∶ 5.

The time taken in the whole journey of 490 km is 24 hours.

Formula used∶

Average speed = 2 x × y / (x + y)

Calculations∶

Let the average speed of the onward journey be x

Let the average speed of the return journey be y

Average speed = 2 x × y / (x + y)

According to the question∶

average speed of the onward journey 7x

average speed of the return journey 5x

Average speed = (2 × 7x × 5x) / (7x + 5x) = 490 / 24

⇒ x = 3.5

The average speed of the onward journey, 7x = 7 × 3.5

⇒ 24.5 km / hr

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