Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
A can do a piece of work in = 10 days
B can do a piece of work in = 18 days
(A+B+C) can do a piece of work in = 4 days
∴ A's 1-day work =`1/10`
B's 1-day work = `1/18`
(A+B)'s 1-day work =`1/10+1/18=(9+5)/90`
`=14/90=7/45`
(A+B+C)'s 1-day work =`1/4`
∴ C's 1-day work =`1/4-7/45`
`=(45-28)/180=17/180`
∴ C can do the piece of work in = `180/17` days
`=10 10/17` days
APPEARS IN
संबंधित प्रश्न
22 men can dig a 27 m long trench in one day. How many men should be employed for digging 135 m long trench of the same type in one day?
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
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 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 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?
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 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?
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?
