Question

David hikes 21/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 miles? If he walks for 7 hours, how far will he have gone?

Answer 1

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles

Explanation:

Given as :

The distance cover by David =
`(21)/(4)` miles = 5.25 miles

The time taken by David =
`(1)/(2)` hours = 0.5 hours

Let the speed = x mile per hour

So, Distance = Speed × Time

A)or, Speed =
`(Distance)/(Time)`

Or, Speed =
`(5.25)/(0.5)`

∴ speed = 10.5 miles per hour

B) Again The Distance cover by him = 18 miles

SO, with speed 10.5 miles per hour

The Time taken by him =
`(Distance)/(speed)` hours

Or, Time taken by him =
`(18)/(10.5)` hours

∴ Time taken by him = 1.714 hours

C) Again the Time taken by him = 7 hours

So, Distance cover by him with speed 10.5 mph

Or, Distance = 10.5 mph × 7 hours = 73.5 miles

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles Answes