SOLUTION: gabe is driving to san francisco at a speed of 48mph If his dad left a hour ealier at a speed of 72mph, how long will it take for gabe's dad to catch him?

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Question 724829: gabe is driving to san francisco at a speed of 48mph If his dad left a hour ealier at a speed of 72mph, how long will it take for gabe's dad to catch him?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
They are going in the same direction and will at some time reach the same distance. By 1 hour into gabe's trip, he has traveled 48*1 miles.

Gabe and his dad will travel according to 1+t for Gabe, and t for his dad.
Gabe: 48%2A1%2B48%2At, miles traveled.
Dad: 72%2At, miles traveled.
Those distances will be equal when Gabe's dad reaches Gabe.

highlight%2848%2A1%2B48%2At=72%2At%29, solve for t.

Further steps: Arithmetic.
48=72t-48t
48=%2872-48%29t
48=24t
highlight%28t=2%29, hours for Gabe's dad to meet Gabe.