General Aptitude › Time and Work › Question #4627
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QIf 6 men and 8 boys can complete a task in 10 days, and 26 men and 48 boys can complete the same task in 2 days, how long will it take 15 men and 20 boys to complete the same type of work?

ID: #4627 Time and Work 166 views
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#4627Q ID
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Time and WorkTopic
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  • A 5 ✔ ✖
  • B 7 ✔ ✖
  • C 4 ✔ ✖
  • D 10 ✔ ✖
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Explanation

If the work rate of one man is represented by 'x' and the work rate of one boy is represented by 'y',
the work rates of 6 men and 8 boys can be represented as
6x + 8y = 1/10.
Similarly, the work rates of 26 men and 48 boys can be represented as
26x + 48y = 1/2.
Solving these equations,
we find that the work rate of one man is 1/100 of the task per day and the work rate of one boy is 1/200 of the task per day.
Therefore, 15 men and 20 boys can complete the task in 4 days

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