   Chapter 4.CR, Problem 49CR

Chapter
Section
Textbook Problem

Maria can assembly 200 tamales in half the time that it takes George to assemble the same number of tamales. How long does it take each person to make the 200 tamales, if they can assemble them in 60 minutes working together?

To determine

To find:

The time required for each to make 200 tamales when they work alone.

Explanation

Approach:

The rate of work in uniform-work rate problems can be express as.

R=QT

Here, rate of work is R, work done quantity is Q and time taken to do the Q quantity work is T.

Calculation:

Assume time required to assemble 200 tamales by Maria is t and by George is 2t.

Consider quantity of work is 1 unit.

The sum of rates for each should be equal to the rate of work when they work together.

1t+12t=160

Multiply 60t on both sides.

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