Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
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?
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 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?
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?
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?
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?
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?
P alone can do `1/2` of a work in 6 days and Q alone can do `2/3` of the same work in 4 days. in how many days will they finish `3/4` of the work, working together?
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?
