Question

Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h. then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?

Answer 1

Let the total distance = x km

Let the time taken by Ravi to reach the school at sharp time = t min

If the speed of the bicycle is 10 km/h, then he reaches his school late by 8 min

If the speed of the bicycle is 16 km/h, then he reaches his school 10 min early.

On subtracting equation (2) from (1)

Now, put x = 8 in Eq. (i),

we get

Hence starting time of school is 8:20 + 40 min i.e. 9:00 am.