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?
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?
A train is moving with a uniform speed of 120 km per hour.
(i) How far will it travel in 36 minutes?
(ii) In how much time will it cover 210 km?
If 15 men can complete a piece of work in 30 days, in how many days will 18 men complete it?
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?
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?
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 can finish a piece of work in 15 days and B can do it in 10 days. They worked together for 2 days and then B goes away. In how many days will A finish the remaining 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?
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?
