Question

a man can walk 5 miles in 6 hours. if his speed increased 50% how long would it take to walk 6 miles​

Answer 1

It would take him 4.8 hours to walk 6 miles

Step-by-step explanation:

1- getting his old speed:

We are given that the man can walk 5 miles in 6 hours

Speed is distance/time

Therefore:

Old speed = 5/6 miles/hour

2- getting his new speed:

We are given that his speed increased by 50%

This means that:

New speed = old speed + (50% * old speed)

New speed =
`(5)/(6) + 0.5((5)/(6)) = (5)/(4)` miles/hour

3- getting the time taken to walk 6 miles based on new speed:

`Speed = (distance)/(time)\\ \\ (5)/(4) = (6)/(time)\\ \\ 5*time = 6*4 = 24\\ \\ time = (24)/(5) = 4.8 hours`

Hope this helps :)