Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
A and B complete a piece of work in = 24 days
B and C complete a piece of work in = 36 days
(A+B+C) complete a piece of work in = 18 days
(A+B)’s 1-day work = `1/24`
(B+C)’s 1-day work = `1/36`
(A+B+C)’s 1-day work = `1/18`
(i) A's 1-day work =`1/18-1/36`
`=(2-1)/36=1/36`
∴ A will complete the work in = 36 days
(ii) C's 1-day work =`1/18-1/24`
`=(4-3)/72=1/72`
∴ C will complete the work in = 72 days
(iii) (A+C)'s 1-day work =`1/36+1/72`
`=(2+1)/72=3/72`
`=1/24`
∴ (A+C) will complete the work in = 24 days
APPEARS IN
संबंधित प्रश्न
If 56 workers can build a wall in 180 hours, how many workers will be required to do the same work in 70 hours?
Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.
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?
If 3 men or 6 boys can finish a work in 20 days, how long will 4 men and 12 boys take to finish the same work?
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 working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?
A can finish a piece of work in 15 days and B can do it in 10 days. They worked together for 2 days and then B goes away. In how many days will A finish the remaining work?
A can-do `1/4` of work in 5 days and B can do `1/3` of the same work in 10 days. Find the number of days in which both working together will complete the work.
A and B can do a work in 8 days; B and C in 12 days, and A and C in 16 days. In what time could they do it, all working together?
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?
