Chapter 4.CR, Problem 50CR

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# Mark can overhaul an engine in 20 hours, and Phil can do the same job by himself in 30 hours. If they both work together for a time and then mark finishes the job by himself in 5 hours, how long did they work together?

To determine

To Find:

The time Mark and Phil work together.

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:

Consider the time Mark and Phil work together is t and quantity of work is 1unit.

The quantity of work done by Mark in 5â€‰hours.

WorkÂ doneÂ byÂ MarkÂ alone=(120)Ã—5=14

Remaining work,

Remainingâ€‰work=totalâ€‰workâˆ’completedâ€‰workâ€‰byâ€‰mark=1âˆ’14=34

The remaining work will be equal to sum of work done by both when they work together for the same time

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