If 2 men or 3 women or 4 boys can do a piece of work in 52 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in:
A. 48 days
B. 36 days
C. 45 days
D. 50 days
Answer: Option A
Solution(By Examveda Team)
Work done by 2 men = 3 women = 4 boys 1 man = 2 boys 1 woman = $$\frac{4}{3}$$ boys Thus, Boys × days = 4 × 52 boys × days Again, 1 man + 1 women + 1 boys, $$ = 2 + \frac{4}{3} + 1$$ $$ = \frac{{13}}{3}$$ boys Using work equivalent method, boys × day = BOYS × DAYS $$4 \times 52 = \frac{{13}}{3} \times {\text{x}}\,{\text{(let)}}$$ x = 48 daysJoin The Discussion
Comments ( 9 )
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2M =3W =4B
TAKE LCM - 12
M : W : B
6: 4 :3
T.W = 52(6*2) = 52*12 = 624
D (1M+1W+1B) = 624
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What's your method @Goutam Chandra?
complex method