Advertisements
Advertisements
Question
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?
Advertisements
Solution
A can finish a piece of work in = 15 days
B can finish a piece of work in = 10 days
∴ A's 1 day work =`1/15`
B's 1-day work =`1/10`
(A+B)'s 1-day work =`1/15+1/10`
`=(2+3)/30=5/30=1/6`
(A+B)'s 2 days work =`1/6xx2=1/3`
Remaining work which will be done by A alone
`=1-1/3=(3-1)/3=2/3`
∴ A can finish 1 work in = 15 days
A can finish `2/3` work in =`15xx2/3` days
`=30/3`days = 10 days
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?
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?
A garrison has sufficient provisions for 480 men for 12 days. If the number of men is reduced by 160; find how long will the provisions last?
If 3 men or 6 boys can finish a work in 20 days, how long will 4 men and 12 boys take to finish 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, 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 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 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?
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?
