Question

Two cars traveling toward each are 200 miles apart. Car A is traveling 20 miles per hour faster than car B. The cars pass after 2 hours. How fast is each car traveling?

Answer 1

Explanation:

d = 200 miles

B rate = x

A Rate = x + 20

Each has traveled two hours

The total distance each travels after two hours is 200 miles (they pass each other).

d = r * t

2*x + 2*(x + 20) = 200 Remove the brackets

2x + 2x + 40 = 200 Combine like terms

4x + 40 = 200 Subtract 40 from each side

4x = 200 - 40

4x = 160 Divide by 4

x = 160/4

x = 40

There B's rate is 40 miles / hour

A's rate is 40 + 20 = 60 miles / hour