a) Two painters were hired to paint a building. The first painter could do it himself in 7 hours and the second painter could do the job himself in 5 hours. If the two painters work together, how long will it take the two painters to do the job.
***The hint for this problem is that the first painter can paint \(\Large\frac{1}{7}\) of the job per hour. ***
Check your work:
Did you have the equation:
\(\Large\frac{1}{7} + \frac{1}{5}=\frac{1}{t}\)
Solving for t, it will take approximately 2.92 hours to complete the job
b) It takes two builders six months to build a house. One builder works 1.5 times faster than the other builder. How long would it take the slower builder to build the house by himself?
Ans: 3.6 months
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