SOLUTION: A truck can cover the distance between two towns, A and B, in 30 hours, and a car can cover the same distance in 20 hours. If the truck leaves Town A toward Town B and the car lea

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A truck can cover the distance between two towns, A and B, in 30 hours, and a car can cover the same distance in 20 hours. If the truck leaves Town A toward Town B and the car lea      Log On

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Question 708665: A truck can cover the distance between two towns, A and B, in 30 hours, and a car can cover the same distance in 20 hours. If the truck leaves Town A toward Town B and the car leaves Town B toward Town A, and both start at the same time, how long would it take for them to meet?
I think it takes 6 hours but I can't figure out a way to show the calculations.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of their distances traveled in the time to meet is the distance between towns A and B. Time is h, for time in HOURS.

Truck: %28d%2F30%29%2Ah, the distance moved in h hours
Car: %28d%2F20%29%2Ah
%28d%2F30%29%2Ah%2B%28d%2F20%29%2Ah=d
Divide both sides by d,
%281%2F30%29%2Ah%2B%281%2F20%29%2Ah=1
Combine terms of h,
%281%2F30%2B1%2F20%29h=1
%28%282%2B3%29%2F60%29h=1
%285%2F60%29h=1
%281%2F12%29h=1
highlight%28h=12%29, 12 hours.