Question

How many hours will a car traveling at 65 miles per hour take to catch up to a car traveling at 55 miles per hour if the slower car starts one hour before the faster car

Answer 1

It will take the first car 5.5 hours to catch up to the second car.

Step-by-step explanation:

Speed of second car = 55 miles per hour

As the car has started one hour before; it has already traveled

Distance = Speed * Time

Distance = 55*1 = 55 miles

Let,

x be the number of hours.

Distance covered in x hours = 55x

S(x) = 55x+55

Speed of first car = 65 miles per hour

Distance covered in x hours = 65x

F(x) = 65x

For catching up;

F(x) = S(x)

$65x=55x+55\\65x-55x=55\\10x=55$

Dividing both sides by 10

$\frac{10x}{10}=\frac{55}{10}\\x=5.5$

It will take the first car 5.5 hours to catch up to the second car.

Keywords: speed, distance

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