A, b and c can together do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. in how many days A alone can do the work?
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Answer:
120 days
Step-by-step explanation:
A and B and C can do the work in 15 days
⇒ 1 day = 1/15 of the work
B can do it in 30 days
⇒ 1 day = 1/30 of the work
C can do it in 40 days
⇒ 1 day = 1/40 of the work
Find the amount of work A can do in a day:
Amount of work = 1/15 - 1/30 - 1/40 = 1/120
Find the number of days needed:
Number of days needed = 120 ÷ 1 = 120 days
Answer: A can do the work in 120 days
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