A truck can travel 150 miles in the same time that it takes a car to travel 175 miles if the trucks rate is 5 mph slower than the cars find the average rate for each

Question

asked Feb 9, 2022 113k views

1 Answer

Eduardo Scoz · Answer 1 · 2022-02-16T00:52:21+0000

Answer:
$30, 35\ mph$

Explanation:

Given

Truck can travel 150 miles while car can travel 175 miles in same time

If the speed of truck is 5 mph slower than the car

Suppose the speed of car is
$x\ mph$ , speed of truck would be
x-5

For same time

$\Rightarrow (150)/(x-5)=(175)/(x)\\\\\Rightarrow 6x=7(x-5)\\\Rightarrow 6x=7x-35\\\Rightarrow x=35\ mph$

Speed of truck is
$x-5=30\ mph$

Speed of car
$x=35\ mph$