31
18 men or 25 boys can complete a work in 25 days. How many days will 36 men and 10 boys will take to complete the work?
- A112/17
- B125/12
- C115/12
- D125/17
Answer not set
Discussion 1
Log in or create a free account to reply and vote.
0
CCommunity
18 men 1 day work = 1/25
1 men 1 day work = 1/(18 × 25) = 1/450
36 men 1 day work = 36 × 1/450 = 2/25
Similarly,
25 boys 1 day work = 1/25
1 boy 1 day work = 1/(25 × 25) = 1/625
10 boys 1 day work = 10 × 1/625 = 2/125
Hence,
36 men and 10 boys 1 day work = 2/25 + 2/125 = 12/125
∴ 36 men and 10 boys will complete the work in 125/12 days
1 men 1 day work = 1/(18 × 25) = 1/450
36 men 1 day work = 36 × 1/450 = 2/25
Similarly,
25 boys 1 day work = 1/25
1 boy 1 day work = 1/(25 × 25) = 1/625
10 boys 1 day work = 10 × 1/625 = 2/125
Hence,
36 men and 10 boys 1 day work = 2/25 + 2/125 = 12/125
∴ 36 men and 10 boys will complete the work in 125/12 days