Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.
If 15 men can complete a piece of work in 30 days, in how many days will 18 men complete it?
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 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?
Two pipes P and Q would fill an empty cistern in 24 minutes and 32 minutes respectively. Both the pipes being opened together, find when the first pipe must be turned off so that the empty cistern maybe just filled in 16 minutes.
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?
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?
