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

Answer:

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

Step-by-step 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

$s=\frac{x}{y}$

we have

$s=55\ mi/h$

$y=2\frac{1}{2}\ h=\frac{2*2+1}{2}=\frac{5}{2}\ h$

substitute in the formula and solve for x

$55=\frac{x}{(5/2)}$

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