Question

A, B and C can do a piece of work in 10 days, 12 days and 15 days respectively. How long
will they take to finish it if they work together?
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Answer 1

Answer:

mathematics

Step-by-step explanation:

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Answer 2

$\sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$

$⇒work \: done \: by \: A \: in \: 1 \: day \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{10}$

$⇒work \: done \: by \: \: B \: in \: 1 \: day \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{12}$

$⇒work \: done \: by \: C \: in \: 1 \: day \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{15}$

$work \: done \: by \: them \: togther \: in \: \\ 1 \: day \: = \frac{1}{10} + \frac{1}{12} + \frac{1}{15}$

$= \frac{5 + 4 + 6}{60}$

$= \frac{15}{60} \\ \\ = \frac{1}{4}$

Thus they can together finish the work in 4 days.

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