Question

Christine drives her car 152 miles and has an average of a certain speed. If the average speed had been 5mph more, she could have traveled 171 miles in the same length of time. What was her average speed?

Answer 1

To find Christine's average speed, we can set up an equation and solve for x. Her average speed is 40 mph.

Step-by-step explanation:

To solve this problem, we can set up an equation.

Let's assume Christine's average speed is x mph.

According to the problem, if her average speed had been 5mph more, she could have traveled 171 miles in the same length of time.

So, we have the equation:

(152/x) = (171/(x+5))

Now, we can cross-multiply and solve for x:

152(x+5) = 171x

152x + 760 = 171x

760 = 19x

x = 40

Therefore, Christine's average speed is 40 mph.