Darren drives to school

Question

Darren drives to school in rush hour traffic and averages 33 mph

. He returns home in mid-afternoon when there is less traffic and averages  44

 mph

. What is the distance between his home and school if the total traveling time is 1hr45 min

?

Answer 1

1 hour & 45 minutes = 1 3/4 hours or 7/4 hours

d=rt

distance = rate of speed times time

d= 33X = 44(7/4-X)

33X = 77- 44X

77X = 77

X = 1 hour

33X = 33 miles

44(7/4 - 4/4) = 33 miles each way