The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it take them to finish the job if they were working together?

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05-05-2018
Mathematics

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The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it take them to finish the job if they were working together?

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Evildoer Evildoer · Answer 1 · 2018-05-05T02:11:56+02:00

1h 15minutes, I converted each time into fractions, 2hours to [tex] \frac{2}{2} [/tex] and the 8hour to [tex]\frac{8}{8} [/tex], this means, painter #1 finishes 1/2 of the project in 1 hour, and paither #2 finishes 1/8 of project in 1 hour, now when we make each fraction out of 2 hours, so [tex]\frac{2}{2} [/tex] and [tex]\frac{2}{8} [/tex], we add them and get [tex] \frac{10}{8} [/tex], then as mixed number, 1 1/4 which is 1 hour and 15min(1/4 of a hour) I believe im right.