Word problem Rational equation

Question

joey walked to the grocery store which was 2 miles away. His walking rate on the way back was 0.75 of his walking rate on the way to the store because he was carrying a bag of groceries. If it took Joey 1 hour to make the round trip, what was his walking rate on the way to the store?

Answer 1

t = d / r

t_there = 2 / r

t_back = 2 / 0.75r

t_there + t_back = 1

(2 / r) + (2 / 0.75r) = 1

Multiply by the common denominator and solve for r.