Question

Candy and Tim share a paper route. It takes Candy 57 minutes to deliver all the papers, whereas Tim takes 114 minutes. How long does it take them when they work together?

Answer 1

When Candy and Tim work together, it takes them 38 minutes to deliver all the papers.

Step-by-step explanation:

When Candy and Tim work together, they can deliver the papers faster than when they work alone. To find out how long it takes them when they work together, we need to find the rate at which they work separately and then add their rates to find their combined rate.

Let's start with Candy. It takes her 57 minutes to deliver all the papers, so her rate is 1/57 of the papers per minute.

Now let's find Tim's rate. It takes him 114 minutes to deliver all the papers, so his rate is 1/114 of the papers per minute.

To find their combined rate, we add their individual rates:

1/57 + 1/114 = 3/114

So together, they can deliver 3/114 of the papers per minute.

To find out how long it takes them when they work together, we divide 1 by their combined rate:

1 / (3/114) = 114/3 = 38 minutes

So it takes Candy and Tim 38 minutes to deliver all the papers when they work together.