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 :

Answer:

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

Step-by-step explanation:

Given as :

The distance cover by David = [tex]\frac{21}{4}[/tex] miles = 5.25 miles

The time taken by David        = [tex]\frac{1}{2}[/tex]  hours  = 0.5 hours

Let the speed                          = x mile per hour

So, Distance = Speed × Time

A)or,  Speed = [tex]\frac{Distance}{Time}[/tex]

Or,  Speed = [tex]\frac{5.25}{0.5}[/tex]

∴     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 =  [tex]\frac{Distance}{speed}[/tex] hours

Or, Time taken by him =  [tex]\frac{18}{10.5}[/tex] 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

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