Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
A and B can do a work in = 8 days
B and C can do a work in = 12 days
A and C can do a work in = 16 days
(A+B)’s 1-day work =`1/8`
(B+C)’s 1-day work =`1/12`
(A+C)'s 1-day work =`1/16`
∴ [(A+B)+(B+C)+(A+C)]'s 1 day work
`=1/8+1/12+1/16`
i.e. [A+B+B+C+A+C]'s 1 day work
`=1/8+1/12+1/16`
`=(6+4+3)/48=13/48`
i.e. 2(A+B+C)'s 1-day work =`13/48`
i.e. (A+B+C)'s 1-day work =`13/48xx1/2=13/96`
∴ (A+B+C) can do the work in =`96/13`days
`=7 5/13` days
APPEARS IN
संबंधित प्रश्न
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
72 men do a piece of work in 25 days. In how many days will 30 men do the same work?
Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.
A can do a work in 15 days and B in 20 days. If they together work on it for 4 days; what fraction of the work will be left?
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?
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 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?
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?
