word problem

Question

A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour on a second highway. If the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?

Answer 1

d₁ = 51(t)

d₂ = 71(8 - t)

 

d₁ + d₂ = 508

 

Can you substitute, solve for t, and answer?