SOLUTION: 3. Candy and Tim share a paper route. It takes Candy 70 minutes to deliver all the papers, whereas Tim takes 80 minutes. How long does it take them when they work together?

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Question 9809: 3. Candy and Tim share a paper route. It takes Candy 70 minutes to deliver all the papers, whereas Tim takes 80 minutes. How long does it take them when they work together?
Found 2 solutions by Needhelp911, rapaljer:
Answer by Needhelp911(2) About Me  (Show Source):
You can put this solution on YOUR website!
70
+80
------
150

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like you really do NEED HELP on this one!

Let x = time it takes them to do the paper route together.

This means that in 1 minute, together they can do 1%2Fx+ of the paper route.

In 1 minute working alone, Candy can do 1/70th of the route, and in 1 minute working alone, Tim can do 1/80th of the route.

The equation is that the part Candy can do in 1 minute + the part that time can do in 1 minute = the part they can do together in 1 minute:
1%2F70+%2B+1%2F80+=+1%2Fx

The LCD is 560x, so multiply both sides of the equation by 560x:
%28560x%29+%2A%281%2F70%29+%2B+%28560x%29%2A%281%2F80%29+=+%28560x%29%2A+%281%2Fx%29+
8x+%2B+7x+=+560
15x+=+560
x+=+560%2F15= 37.3 minutes.

R^2 at SCC