The work rate when they work together is much higher than when Eleanor
does the job herself.
Reasons:
Jane's work rate = 3 × Eleanor's work rate
The time it takes both Jane and Eleanor to do a job = 21 minutes
Required:
The time it would take Eleanor to do the job herself.
Solution:
Let x represent the portion of the job performed by Eleanor in the 21
minutes, we have;
The portion performed by Jane = 3 × x
Therefore;
The job done when they work together for 21 minutes = x + 3·x = 4·x
The time it takes Eleanor to do the job portion, x = 21 minutes
Therefore;
The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes
- The time it would take Eleanor to do the job herself = 84 minutes
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