Question

Simon drove for 2 1/2 hours to get from his house to the beach. Simon averaged 55 miles per hour on the trip. What is the distance from Simon's house to the beach?

Answer 1

The distance from Simon's house to the beach is 137.5 miles

Explanation:

we know that

The speed is equal to the ratio of the distance and the time

Let

s ----> the speed in mph

x ----> the distance in miles

y ---> the time in hours

`s=(x)/(y)`

we have

`s=55\ mi/h`

`y=2(1)/(2)\ h=(2*2+1)/(2)=(5)/(2)\ h`

substitute in the formula and solve for x

`55=(x)/((5/2))`

`x=(5/2)55\\x=137.5\ mi`