Question

2 men and 5 boys can finish a piece of work in 4 days, while 3 men and
6 boys can finish it in 3 days. Find the time taken by one man alone to
finish the work and that taken by one boy alone to finish the work.​

Answer 1

Answer:

Let the amount of work done by a Man alone in a day be M and by a Boy alone be B

Given, 2 men and 5 boys together can finish a piece of work in 4 days

Amount of work they can do in one day 2M+5B =

4

1

-- (1)

Similarly, 3M+6B=

3

1

--- (2)

Solving equations (1) and (2), we get B=

36

1

Substituting B in equation (2), we get M=

18

1

Hence, one man alone will take 18 days to do the work and one boy will take 36 days.

Step-by-step explanation:

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Answer 2

Answer:

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Asked on December 20, 2019 by

Hanny Chandra

2 men and 5 boys together can finish a piece of work in 4 days, while 3 men and 6 boys can finish it in 3 days. Find the time taken:

i) by one man alone to finish the work

ii) by one boy alone to finish the work.

A

18 days and 36 days

B

22 days and 18 days

C

11 days and 13 days

D

17 days and 16 days

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ANSWER

Let the amount of work done by a Man alone in a day be M and by a Boy alone be B

Given, 2 men and 5 boys together can finish a piece of work in 4 days

Amount of work they can do in one day 2M+5B =

4

1

-- (1)

Similarly, 3M+6B=

3

1

--- (2)

Solving equations (1) and (2), we get B=

36

1

Substituting B in equation (2), we get M=

18

1

Hence, one man alone will take 18 days to do the work and one boy will take 36 days.

Step-by-step explanation:

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I am very. thankful to u that u had given me a. change to solve this question.

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