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.
