If 56 men can do a piece of work in 42 days. How many men will do it in 14 days?
Answers
Answer: Number of men = 168
Step-by-step explanation:
56 men === 42 days === 1 work
56 men === 1 day ==== 1/42 work
1 man === 1 day === 1/42*56 work [No.of men inversely proportional to days]
1 man === 14 days === 14/42*56 work
1 man == 1/3*56 work
1 man = 1/168 work in 14 days
168 men = 1 work in 14 days.
ALTERNATE:
For the same work,
M1 * D1 = M2 * D2
56*42 = M2 * 14
M2 = 56*42/14 = 168 men
Hence, number of men = 168
Answer:
Thus question is based on inverse variation.
This is because, more people doing work, takes less time for completion. Less people for work, more time for completion.
=> 56 men : 42 days :: x men : 14 days
Since it is inverse variation,
=> 56*42 = 14*x
=> 56*42/14 = x
=> 56*3 = x
=> x = 168 men
Hence if 168 men are employed, the work will be completed in 14 days.