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
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?
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?
In order to complete a work in 28 days, 60 men are required. How many men will be required if the same work is to be completed in 40 days?
A fort had provisions for 450 soldiers for 40 days. After 10 days, 90 more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?
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 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 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 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?
X alone can do a piece of work in 6 days and Y alone in 8 days. X and Y undertook the work for ₹ 48000. With the help of Z, they completed the work in 3 days. How much is Z’s share?
