The question is too long for the title. I don't understand how to solve it. Can anyone help?

Question

On his way to work from home, your uncle averaged only 20 miles per hour. On his drive home, he averaged 40 miles per hour. If the total travel time was 1.5 hours, how long did it take him to drive to work?

Answer 1

If you consider the time to drive to work X, then the time to drive back would be 1.5 − X; d ⁄2 is the distance between home and work - So d ⁄2 = 20 X & d ⁄2 = 40(1.5 − X) ; 20X = 40(1.5 − X)

X = 1hr

Answer 2

distance is the same both ways, d=rt where r = speed and t= time traveled

on the way to work d=t(20) on the way back d=(40)(1.5-t)

set them equal, 20t =60-40t

60t =60

t =1 hour going to work

1.5-t= half an hour going home

You don't need to calculate the distance traveled but

d=rt =20(1) = 20 miles

d=40(1/2) = 20 miles