A and B can finish a piece of work in 5 days, A and C in 10 days and B and C in 15 days. How much work will they do together in 2 days?
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A + B = 5 days for 1 piece of work
A + C = 10 days for 1 piece of work
B + C = 15 days for 1 piece of work
Add them up to finish the number of days needed for 3 pieces of work
3A + 3B + 3C = 30
Find 1 day of work:
3A + 3B + 3C = 30
Divide by 3 through
A + B + C = 10
Find the amount of work done in 2 days:
1 day = 1/10 of the work
2 days = 1/10 x 2 = 1/5 of the work
Answer: 1/5 of work is done in 2 days if all the 3 works together
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