Question

a truck can travle 300 miles in the same time that it takes a car to travel 330 miles. If the truck's rate is 5 miles per hour slower than the car's find the average rate for each

Answer 1

The speed of car is 55 miles per hour and speed of truck is 50 miles per hour .

Step-by-step explanation:

Let the speed of the car is v miles/h , therefore the speed of truck is ( v - 5 ) miles per hour .

Because time =
`(Distance)/(Speed)`

Thus in case of truck the time t₁ =
`(300)/(v-5)`

In case of car the time t₂ =
`(330)/(v)`

But time is the same in both cases , therefore

`(300)/(v-5)` =
`(330)/(v)`

or 30 v = 1650

or v = 55 miles per hour

Therefore speed of car is 55 miles per hour

Thus speed of truck is 50 miles per hour