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

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

Explanation:

The equation for the velocity is given by:

`v = (d)/(t)`

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

Motorcycle:

Velocity v, d = 248. Then

`v = (248)/(t)`

Car:

Velocity v+10, d = 288. Then

`v + 10 = (288)/(t)`

From the first equation:

`v = (248)/(t)`

`vt = 248`

`t = (248)/(v)`

Replacing in the second:

`v + 10 = (288)/(t)`

`v + 10 = (288)/((248)/(v))`

`v + 10 = (288v)/(248)`

`288v = 248(v + 10)`

`288v = 248v + 2480`

`40v = 2480`

`v = (2480)/(40)`

`v = 62`

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