Question

A plane can fly 1200 miles in the same time as it takes a car to go 320 miles. If the car travels 110 mph slower than the

plane, find the speed of the plane.

____mph

Answer 1

Given:

A plane can fly 1200 miles in the same time as it takes a car to go 320 miles. The car travels 110 mph slower than the plane.

We need to determine the speed of the plane.

Speed of the plane:

Let the speed of the plane be x.

Equating the time taken by the plane and the time taken by the car using the formula,

`Time=(Distance)/(Speed)`

Thus, we have;

`(1200)/(x)=(320)/(x-110)`

Cross multiplying, we get;

`1200(x-110)=320x`

Simplifying, we get;

`1200x-132000=320x`

`880x=132000`

`x=150`

Thus, the value of the speed of the plane is 150 mph