Question

A and B can do a piece of work in 20 days. B and C can do it in 15 days,
while Cand A can do it in 12 days. In how many days will they finish the
work separately?​

Answer 1

Given:-

• A and B can do the work in 20 days.
• B and C can do the same work in 15 days.
• C and A can do it in 12 days.

Then:-

$➝A \: and \: B \: one \: day \: work = \frac{1}{12}$

$➝B \: and \: C \: one \: day \: work  = \frac{1}{15}$

$➝ C \: and \: A \: one \: day \: work = \frac{1}{20}$

Then A ,B and c two days work:-

$= \frac{1}{12} + \frac{1}{15} + \frac{1}{20}$

$= \frac{5 + 3 + 4}{60}$

$= \frac{12}{60}$

$= \frac{1}{5}$

Then A ,B and C one days work:

$= \frac{1}{5} \times \frac{1}{2}$=1/10

So A, B and C do work in 10 days

• Hope it helps you ✔️