Advertisements
Advertisements
Question
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.
Advertisements
Solution
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
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?
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the food last at the same rate?
Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.
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 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?
A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?
A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?
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 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?
