Question

If a man travels 65 km in 3days by walking 7 1/2 hours a day. In how many days will he travel 156 km by walking 8 hours a day?

Answer 1

a man travels 65 km in 3days by walking 7 1/2 hours a day.

so, total time taken by man to cover 65 km , t = 3 × (7 1/2) = 3 × 15/2 = 45/2 hrs

now, walking speed of man = distance covered/time taken

= 65/(45/2) = 130/45 = 26/9 km/h

now, man travels 156 km by walking 8 hours a days.

time taken by man to cover 156 km = distance covered/walking speed of man

= 156/(26/9)

= 156 × 9/26

= 54 hrs

so, number of days = total time taken/time taken to walk in a day

= 54/8 = 27/4

=6.75 days or, 6 days and 18 hours