Question

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?

Answer 1

Let n be the time it takes them working together. Then:

1/2+1/8=1/n

4/8+1/8=1/n

5/8=1/n

5n=8

n=8/5 hours, working together

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Explanation:

Answer 2

Let n be the time it takes them working together. Then:
1/2+1/8=1/n
4/8+1/8=1/n
5/8=1/n
5n=8
n=8/5 hours, working together
☺☺☺☺