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Bijay Kumar • 5.24K Points
Tutor III Math

Q. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys?

  • (A) 4 days
  • (B) 6 days
  • (C) 7 days
  • (D) 5 days
  • Correct Answer - Option(A)
  • Views: 239
  • Filed under category Math
Explanation by: Bijay Kumar
Given that

6 men and 8 boys can do a piece of work in 10 days
26 men and 48 boys can do the same in 2 days
As the work done is equal,
10(6M + 8B) = 2(26M + 48B)
60M + 80B = 52M + 96B
=> M = 2B
=> B = M/2 ……(1)
Now Put (1) in 15M + 20B
=> 15M + 10M = 25M
Now, 6M + 8B in 10 days
=> (6M + 4M) 10 = 100M
Then D(25M) = 100M
=> D = 4 days.

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