30 men can reap a field in 16 days how many men will be required to reach another field which is triple in size within 15 days
Answers
96 men will be required to reap another field which is triple in size within 15 days.
Step-by-step explanation:
We know that the formula of the Man-Days is given by,
[M1 * D1] / [W1] = [M2 * D2] / [W2]
Here we have,
M1 = No. of men = 30
D1 = No. of days = 16 days
D2 = No. of days = 15 days
W1 & W2 = work done
M2 = No. of men = need to find?
It is given that the work done by M2 is triple the work done by M1 i.e.,
W2 = 3*W1
⇒ W2/W1 = 3/1
Therefore, by substituting the given values
[30*16] / [1] = [M2 * 15] / [3]
⇒ M2 = [30 * 16 * 3] / 15
⇒ M2 = 96 ← men will be required to reap the triple size field within 15 days
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