Question

Usha participated in a marathon walk and completes the journey in 10 hours. If she travels half the distance with a speed of 10 km/hr and rest with 15 km/hr, then calculate the total distance of the walk.

Answer 1

Step-by-step explanation:

Let time taken to travel the first half = x hr

Then time taken to travel the second half = (10 - x) hr

Distance covered in the the first half = 21x [because, distance = time*speed]

Distance covered in the the second half = 24(10 - x)

Distance covered in the the first half = Distance covered in the the second half

So,

21x = 24(10 - x)

=> 45x = 240

=> x = 16/3

Total Distance = 2*21(16/3) = 224 Km [multiplied by 2 as 21x was distance of half way]