To do a piece of work,B takes 3 times as long as A and C together, and C takes twice as long as A and B together .If the three together can complete the work in 10 days , how long would A take by himself ?

To do a piece of work,B takes 3 times as long as A and C together, and C takes twice as long as A and B together .If the three together can complete the work in 10 days , how long would A take by himself ? with explanation

Expert Solution

assume 100 units of work, so together they work @ 10 units/day

let A, B, C work @ a,b,c units /day

(a+c) = 3b ....... (i)

(a+b) = 2c ....... (ii)

a+b+c = 10 ..... (iii)

solving the system , we get

a = 25/6, b = 5/2, c = 10/3

A will take 100/(25/6) = 24 days

B will take 100/(5/2) = 40 days

C will take 100/(10/3) = 30 days

Nipun Maity answered 2 years ago

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Question

To do a piece of work,B takes 3 times as long as A and C together, and C takes twice as long as A and B together .If the three together can complete the work in 10 days , how long would A take by himself ?

Solutions

Expert Solution

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