Seven men and four boys can complete a work in 6 days.
Seven men and four boys can complete a work in 6 days. A man completes double the work than a boy. In how many days will 5 men and 4 boys complete the work?
Answer/Solution
None of these
Steps/Work
M = 2B
∴ 7M + 4B = 14B + 4B = 18B
5M + 4B = 10B + 4B = 14B
∴ 18 boys complete the work in 6 days.
∴ 14 boys complete the work in
6×18/14=7 5/7days
Note: 7 men and 4 boys complete the work in 6 days. We have to find out the no. of days in which 5 men and 4 boys complete the work. Here, we see that 4 boys are common in both the cases, therefore, 5 men will take more time to complete the work, i.e., more than 6 days, which is not given in any options. Therefore, without calculating we can say that our answer is(e).
Answer E
∴ 7M + 4B = 14B + 4B = 18B
5M + 4B = 10B + 4B = 14B
∴ 18 boys complete the work in 6 days.
∴ 14 boys complete the work in
6×18/14=7 5/7days
Note: 7 men and 4 boys complete the work in 6 days. We have to find out the no. of days in which 5 men and 4 boys complete the work. Here, we see that 4 boys are common in both the cases, therefore, 5 men will take more time to complete the work, i.e., more than 6 days, which is not given in any options. Therefore, without calculating we can say that our answer is(e).
Answer E