Question

A car and a truck heading for Joliet on the same route left a restaurant parking lot at the same time. Their speeds differed by 10m(i)/(h). Four hours later the car arrived in Joliet. The truck reached Joliet one hour after the car. Find the speed of the car.

Answer 1

To find the speed of the car that left with a truck for Joliet, we set up an equation based on their travel times and the difference in their speeds. Solving the equation shows that the car's speed is 50 mph.

Step-by-step explanation:

To find the speed of the car in the problem where both a car and truck leave a restaurant and head for Joliet at different speeds, we can set up an equation based on the information given. Let's denote the speed of the car as c mph. Since the truck's speed differs by 10 mph, its speed will be c - 10 mph.

As per the question, the car took 4 hours to reach Joliet, and the truck took 5 hours (since it arrived an hour after the car).

We can create the following equation based on the fact that both the car and the truck cover the same distance to Joliet:

Distance covered by car = Speed of car × Time taken by car

Distance covered by truck = Speed of truck × Time taken by truck

Now, we can set these distances equal to each other, as the two vehicles traveled the same distance:

c × 4 = (c - 10) × 5

Solving this equation for c:

4c = 5c - 50

c = 50 mph

Therefore, the speed of the car is 50 mph.