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how it could be 10? its 5 know

how come the answer is 10 days?

Question:

A and B can do a work in 12 days ,B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in :

Options:

A) 5 days.

B) \(7\cfrac{5}{6}\) days.

C) 10 days.

D) \(15\cfrac{2}{3}\) days.

Solution:

**Ans (c)**

According to question,

A and B can do a work in 12 days

\(\therefore\) (A + B)'s one days' work = \(\cfrac{1}{12}\)

Similarly,

(B+C)'s one day's work = \(\cfrac{1}{15}\)

and (C+A) one day's work = \(\cfrac{1}{20}\)

an adding all three,

\(=\cfrac{1}{12}+\cfrac{1}{15}+\cfrac{1}{20}=\cfrac{5+4+3}{60}=\cfrac{1}{5}\)

2(A+B+C)=\(\cfrac{1}{5}\)

Thus,

A+B+C=\(\cfrac{1}{5*2}\)=\(\cfrac{1}{10}\)

(A+B+C)'s one day's work = \(\cfrac{1}{10}\)

\(\therefore\) A,B and C together can finish the whole work in 10 days

Knowledge Expert

· commented

· 1 Months ago

We have updated the solution.

Keep learning,

Team TR