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?
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
12 pipes, all of the same size, fill a tank in 42 minutes. How long will it take to fill the same tank, if 21 pipes of the same size are used?
In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the food last at the same rate?
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?
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 `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 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?
