Question

A car travels 288 miles in the same time a motorcycle travels 248 miles. If the cars speed is 10 miles per hour more than the motorcycles what is the speed of the car and motorcycle

Answer 1

Answer:

The speed of the motorcycle is 62 miles per hour and of the car is 72 miles per hour.

Step-by-step explanation:

The equation for the velocity is given by:

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

In which d is the distance and t is the time.

Motorcycle:

Velocity v, d = 248. Then

$v = \frac{248}{t}$

Car:

Velocity v+10, d = 288. Then

$v + 10 = \frac{288}{t}$

From the first equation:

$v = \frac{248}{t}$

$vt = 248$

$t = \frac{248}{v}$

Replacing in the second:

$v + 10 = \frac{288}{t}$

$v + 10 = \frac{288}{\frac{248}{v}}$

$v + 10 = \frac{288v}{248}$

$288v = 248(v + 10)$

$288v = 248v + 2480$

$40v = 2480$

$v = \frac{2480}{40}$

$v = 62$

The speed of the motorcycle is 62 miles per hour and of the car is 72 miles per hour.