Advertisements
Advertisements
प्रश्न
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.
उत्तर
P's one minute's work =`1/24`
Q's one minute's work =`1/32`
Let the first pipe must turn off x minutes
The cistern filled in 16 minutes
Then P's x minutes work + Q's 16 minutes work = 1
`⇒1/24xx"x"+1/32xx16=1`
`"x"/24+1/2=1`
`⇒"x"/24=1-1/2=1/2`
`⇒"x"/24=1/2`
`⇒"x"=24/2=12`
∴ After 12 minute pipe P would turned off
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?
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, B, and C can do a piece of work in 6 days, 12 days, and 24 days respectively. In what time will they altogether do it?
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?
