15. X number of men can finish a piece of work in 30days. If there were 6 men more, the work could befinished in 10 days less. What is the original numberof men?(a) 10(b) 11 (c) 12 (d) 15(e) 13 About the author Eloise
Answer: X number of men can finish a piece of work in 30 days. ==> Total work = 30X Men days. — (1) If there were 6 men more, the work could be finished in 10 days less. ==> Total work = (X+6)*20 days — (2) By (1) and (2) we have: 30X = (X+6)*20 => 10X = 120 => X = 12 men. Reply
Answer:
X number of men can finish a piece of work in 30 days. ==> Total work = 30X Men days. — (1)
If there were 6 men more, the work could be finished in 10 days less. ==> Total work = (X+6)*20 days — (2)
By (1) and (2) we have:
30X = (X+6)*20 => 10X = 120 => X = 12 men.
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Answer is c) 12 is correct.