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 .

Explanation:

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

Because time = $\frac{Distance}{Speed}$

Thus in case of truck the time t₁ = $\frac{300}{v-5}$

In case of car the time t₂ = $\frac{330}{v}$

But time is the same in both cases , therefore

$\frac{300}{v-5}$ = $\frac{330}{v}$

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