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

Answer:

It would take him 4.8 hours to walk 6 miles

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 = $\frac{5}{6} + 0.5(\frac{5}{6}) = \frac{5}{4}$ miles/hour

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

$Speed = \frac{distance}{time}\\ \\ \frac{5}{4} = \frac{6}{time}\\ \\ 5*time = 6*4 = 24\\ \\ time = \frac{24}{5} = 4.8 hours$

Hope this helps :)