Distance Word Problem (Algebra)

Question

Sam spends a total of 5 hours commuting to and from work each day. If he averages 75 miles per hour going to work and 50 miles per hour coming home from work and he takes the same route both ways, what is the total distance that Sam travels each day?

A. 150 miles

B. 300 miles

C. 200 miles

D. 250 miles

Distance Word Problem (Algebra)

Answer 1

d represents one leg of the trip

d / r = t

.

(d / 75) + (d / 50) = 5

2d + 3d = 5(150) multiply by LCD, 150

5d = 5(150)

d = 150