Question

A boy travels some distance at a speed of 12km/hr and returns 9km/hr . If the total time taken by him is 2hr 20minutes, find the distance.​

Answer 1

please mark it brainly and sorry for the bad handwriting

Answer 2

Answer:

Distance = 24 km

Step-by-step explanation:

Speed Time and distance are related as

Distance = Speed * time

Given that total time taken by boy = 2hr 20 minutes = 14/3 hr

Also, total time is calculated as time taken by boy to reach some distance and then returning to original point

Thus, total time = x/12 + x/9

We have

x/12 + x/9 = 14/3

Now, LCM of 12, 9 = 36

3x/36 + 4x/36 = 14/3

(3x + 4x)/36 = 14/3

7x/36 = 14/3

x = (14 * 36)/(7 * 3)

x = 504/21

x = 24 km