Question

- A bus, reaches the destination in fixed time, running at a speed of 60 km/h.
the speed of the bus is reduced by 12 km/h, it takes 1 hour more to reach
destination. What was the distance covered by the bus? ​

Answer 1

Answer:

A bus, reaches the destination in fixed time, running at a speed of 60 km/h.

the speed of the bus is reduced by 12 km/h, it takes 1 hour more to reach

destination. The distance covered by the bus is 240 km.

Step-by-step explanation:

Let d be the distance covered by the bus.

To reach the destination on time, the bus travels at 60 km/h

The time it takes is given by:

Time = distance/speed

Time = d/60

If the speed is reduced by 12 km/h, the bus arrives 1 hour late.

The reduced speed = 60 - 12 = 48 km/h

the time taken is:

Time = d/48

This time is 1 hour more than the exact time. So, we have:

d/60 = d/48 - 1

48(d) = 60(d) - 1(48 × 60)

48d = 60d - 2880

48d - 60d = -2880

-12d = -2880

d = 2880/12

d = 240

The distance covered by the bus is 240 km