exam
Maths Puzzle
The digging work of the DMRC on the Adohini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?
A.
48
B.
24
C.
36
D.
16
Read Solution (Total 1)
-
- From the given data we can write that the total work is equivalent to 24×16 Man-Days. Which in turn is equivalent to 32×24
woman-Days.
Hence 1 Man-Day is equivalent to 2 Woman-Days.
Let x
be the number of additional men required for the last two days’ work
Total work = 24×16
⇒ (16 Men +16 Women) × 12-Days +(16 Men +16 Women) × 2-Days
⇒ (16 Men + 16/2 men) × 2-Days men) × 12-Days +(16 Men + 16/2 men)× 2-Days
⇒ 24×16=24×12+(24+x)×2
⇒ x= 24.
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