Alice drives to Alabama at a rate of 60mph. She drives him at a rated of 40mph. If the total trip takes 5 hours, how long does it take her to drive back home

Question

Alice drives to Alabama at a rate of 60mph. She drives him at a rated of 40mph. If the total trip takes 5 hours, how long does it take her to drive back home

Answer 1

distance=rate*time

the distances will be the same

d=60*t

d=40*(5-t)

equate the right sides

60t=40(5-t)

60t=200-40t

60t+40t=200

100t=200

t=200/100

t=2 hours to go to Alabama

5-2=3 hours to drive back home from Alabama

check: 60*2=120 and 40*3=120