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A walked at 10 km/hr to reach school but returned on rickshaw at the speed of 12.5 km/hr to reach home. Total time taken by A is 5 hours. Find the distance. 
1. 250/9 km
2. 280/9 km
3. 350/9 km
4. None of the above

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Correct Answer - Option 1 : 250/9 km

Given:

A walked at 10 km/hr to reach school but returned on a rickshaw at the speed of 12.5 km/hr to reach home.

Total time taken by A is 5 hours.

Concepts used:

Distance = Speed × time

Calculation:

Let the distance between the school and home be x km.

Distance = Speed × time

Time = Distance/Speed

⇒ 5 = x/10 + x/12.5

⇒ 5 = (5x + 4x)/50

⇒ 5 = 9x/50

⇒ x = 5 × 50/9 km

⇒ x = 250/9 km

∴ Distance covered between school and home for A is 250/9 km. 

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