If A, B, and C can do a piece of work in 15, 30, and 60 days respectiv

1.	If A, B, and C can do a piece of work in 15, 30, and 60 days respectively. In how many days together they will do the same work?1. 10 days2. 12 days3. 60/11 days4. 60/7 days
Answer» Correct Answer - Option 4 : 60/7 days Given: A can do the work in 15 days B can do the work in 30 days C can do the work in 60 days Concept used: If a person does the work in x days then work done by the person in 1 day = 1/x of total work. Calculation: Part of work done by A in a day = 1/15 Part of work done by B in a day = 1/30 Part of work done by C in a day = 1/60 Together they will do 1/15 + 1/30 + 1/60 of the total work in a day Together they will do 7/60 of the total work in a day Time taken to do the work = 1/(7/60) ⇒ Time taken to do the work = 60/7 ∴ Together they will do the work in 60/7 days

If A, B, and C can do a piece of work in 15, 30, and 60 days respectively. In how many days together they will do the same work?1. 10 days2. 12 days3. 60/11 days4. 60/7 days

Answer» Correct Answer - Option 4 : 60/7 days

Given:

A can do the work in 15 days

B can do the work in 30 days

C can do the work in 60 days

Concept used:

If a person does the work in x days then work done by the person in 1 day = 1/x of total work.

Calculation:

Part of work done by A in a day = 1/15

Part of work done by B in a day = 1/30

Part of work done by C in a day = 1/60

Together they will do 1/15 + 1/30 + 1/60 of the total work in a day

Together they will do 7/60 of the total work in a day

Time taken to do the work = 1/(7/60)

⇒ Time taken to do the work = 60/7

∴ Together they will do the work in 60/7 days

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