4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A. 35
B. 40
C. 45
D. 50
E. None of these
Answer: Option B
Solution(By Examveda Team)
Let 1 man's 1 day's work = x and 1 woman's 1 day's work = yThen, 4x + 6y = $$\frac{1}{8}$$ and 3x + 7y = $$\frac{1}{{10}}$$
Solving the two equations, we get
$$x = \frac{{11}}{{400}},\,\,\,y = \frac{1}{{400}}$$
∴ 1 woman's 1 day's work = $$\frac{1}{{400}}$$
⇒ 10 women's 1 day's work = $$ {\frac{1}{{400}} \times 10} $$ = $$\frac{1}{{40}}$$
Hence, 10 women will complete the work in 40 days
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Comments ( 2 )
Related Questions on Time and Work
A. 18 days
B. 24 days
C. 30 days
D. 40 days
Siddaraju, By solve the above equation we get x=11/100 and y =1/400
how was came x=11/400 , y=1/400 please explain ?