Advertisements
Advertisements
Question
If 12 men or 18 women can complete a piece of work in 7 days, in how many days can 4 men and 8 women complete the same work?
Advertisements
Solution
12 men = 18 women
∴ 4 m =`18/12xx4`
= 6 women
Total women in second case = 4 men + 8 women
6 + 8 = 14 women
18 women can do a piece of work in 7 days
Let 14 women will do the same work in x days
∴ 18: 14: : 7: x ........(Less women, more days)
⇒ 18 : 14 : : x : 7
x = `(18xx7)/14` .......(Using inverse proportion)
= 9
∴ They will complete the work in 9 days
APPEARS IN
RELATED QUESTIONS
A car takes 6 hours to reach a destination by travelling at a speed of 50 km per hour. How long will it take when the car travels at a speed of 75 km per hour?
A contractor undertakes to dig a canal, 6 kilometers long, in 35 days and employed 90 men. He finds that after 20 days only 2 km of the canal has been completed. How many more men must be employed to finish the work on time?
A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?
A and B together can do a piece of work in `6 2/3` days, but B alone can do it in 10 days. How long will A take to do it alone?
A can do a work in 15 days and B in 20 days. If they together work on it for 4 days; what fraction of the work will be left?
A can do a piece of work in 24 days, A and B can do it in 16 days and A, B, and C in `10 2/3` days. In how many days can A and C do it working together?
A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B, and C together finish it in 18 days. In how many days will:
(i) A alone,
(ii) C alone,
(iii) A and C together, complete the work?
A and B can do a piece of work in 40 days; B and C in 30 days; and C and A in 24 days.
- How long will it take them to do the work together?
- In what time can each finish it working alone?
A can do a piece of work in 10 days, B in 12 days, and C in 15 days. All begin together but A leaves the work after 2 days and B leaves 3 days before the work is finished. How long did the work last?
P alone can do `1/2` of a work in 6 days and Q alone can do `2/3` of the same work in 4 days. in how many days will they finish `3/4` of the work, working together?
