Question

A car drives east along a road at a constant speed of 46 miles per hour. At 4:00 P.M., a truck is 264 miles away, driving west along the same road at a constant speed. The vehicles pass each other at 7:00 P.M. What is the speed of the truck

Answer 1

Answer:

The speed of the truck is 42 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s -----> the speed in miles per hour

d ----> the distance in miles

t ----> the time in hours

$s=\frac{d}{t}$

$d=s(t)$

step 1

Find out the distance traveled by the car at 7:00 P.M

we have

$s=46\ \frac{mi}{h}$

$t=7:00 P.M-4:00 P.M=3\ h$

$d=s(t)$

substitute the values

$d=46(3)=138\ mi$

step 2

Find out the speed of the truck

we know that

At 7:00 P.M the distance is equal to

$d=264-138=126\ mi$

$t=7:00 P.M-4:00 P.M=3\ h$

substitute

$s=\frac{126}{3}$

$s=42\ \frac{mi}{h}$