Question

A and B can do a piece of work in 10 days B and C can do it in 15 days and a and c together can do it in 12 days how long will it take to complete the work alone​

Answer 1

ANSWER:-

Given:

A & B can do a piece of work in 10 days, B & C can do it in 15 days & A & C together can fo it in 12 days.

To find:

How long will it take to complete the work alone.

Solution:

⏺️(A+ B)'s 1 day's work= 1/10

⏺️(B+ C)'s 1 day's work= 1/15

⏺️(A+C)'s 1 day's work = 1/12

Therefore,

Adding, we get;

2(A+B+C)'s 1 day's work

$= > \frac{1}{10} + \frac{1}{15} + \frac{1}{12} \\ \\ = > \frac{6 + 4 + 5}{60} \\ \\ = > \frac{15}{60} \\ \\ = > \frac{1}{4}$

Therefore,

(A+B+C)'s 1 day's work = 1/8

So,

A's 1 day's work:

$\frac{1}{8} - \frac{1}{12} \\ \\ = > \frac{3 - 2}{24} \\ \\ = > \frac{1}{24}$

Hence,

A alone will complete the work in 24 days.

Hope it helps ☺️