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 = [tex]\frac{5}{6} + 0.5(\frac{5}{6}) = \frac{5}{4}[/tex] miles/hour
3- getting the time taken to walk 6 miles based on new speed:
[tex]Speed = \frac{distance}{time}\\ \\ \frac{5}{4} = \frac{6}{time}\\ \\ 5*time = 6*4 = 24\\ \\ time = \frac{24}{5} = 4.8 hours[/tex]
Hope this helps :)
