Question

A man moved from A to B at rate of 4.5 km/hr. Had he moved at the rate of 4km/hr he would have taken 2.5 hr more to cover the distance. Find the distance between A and B ?​

Answer 1

Answer:

90 km

Step-by-step explanation:

Let the distance covered = x km

Using distance, speed, time relation,

Time taken = x/4.5 hr

Now to cover same distance, with speed of 4 km/h, it would take 2.5 hr more from the above time

So,

(x/4.5 + 2.5) = x/4

Solving for x,

[(x + 4.5 × 2.5) / 4.5] = x/4

[(x + 11.25) / 4.5] = x/4

Cross multiplying,

4x + 4(11.25) = 4.5x

0.5x = 45

x = 45 × 2

x = 90

Thus , the distance from A to B is 90 km