Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
A can do a piece of work in = 24 days
(A+B) can do a piece of work in = 16 days
(A+B+C) can do a piece of work in
`=10 2/3`days = `32/3` days
∴ A's 1-day work =`1/24`
(A+B)'s 1 day work =`1/16`
(A+B+C)'s 1 day work =`3/32`
C's 1 day work =`3/32-1/16`
`=(3-2)/32=1/32`
(A+C)'s 1-day work =`1/24+1/32`
`=(4+3)/96=7/96`
∴ (A+C) can do the work in =`96/7` days
`=13 5/7` 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?
A garrison has sufficient provisions for 480 men for 12 days. If the number of men is reduced by 160; find how long will the provisions last?
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?
90 men can complete a work in 24 days working 8 hours a day. How many men are required to complete the same work in 18 days working `7 1/2` hours a day?
Twelve typists, all working with the same speed, type a certain number of pages in 18 days working 8 hours a day. Find, how many hours per day must sixteen typists work in order to type the same number of pages in 9 days?
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 do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaining work?
A can do a piece of work in 10 days; B in 18 days; and A, B, and C together in 4 days. In what time would C alone do it?
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?
P and Q can do a piece of work in 12 days and 15 days respectively. P started the work alone and then after 3 days, Q joined him till the work was completed. How long did the work last?
