Question

Three person A and B together can do a piece of work in 10 days person B and C together can do it in 15 days person C and A together can do it in 12 days. How long will they take to finish the work,working altogether? How long would each take to do the same work ​

Answer 1

Answer:

Your Answer is ; 5 days.

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-; Explanation. ;-

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• Time Taken by ( A + B ) to finish the work = 20 days.

• Time Taken by ( B+ C) to finish the work = 15 days.

• Time Taken by ( C + A ) to finish the Work = 12 days.

Hence , ( A + B )'s 1 day's work = 1/20

( B + C )'s 1 day's work = 1/15

( C + A)'s 1 day's work = 1/12

Adding we get ;-

2 ( A + B + C)'s 1 day's Work =

\frac{1}{20} + \frac{1}{15} + \frac{1}{12} = \frac{3 + 4 + 5}{60} = \frac{12}{60} = \frac{1}{5}

20

1

+

15

1

+

12

1

=

60

3+4+5

=

60

12

=

5

1

Now ,

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

( 1/2 × 1/5) = 1/10 days.

So , they will do the work together in 10 days.

Step-by-step explanation:

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