Advertisements
Advertisements
Question
P alone can do `1/2` of a work in 6 days and Q alone can do `2/3` of the same work in 4 days. in how many days will they finish `3/4` of the work, working together?
Advertisements
Solution
`1/2` of the work is done by P in 6 days
∴ Full work is done by P in `6/(1/2)` = 6 × 2 = 12 days
`2/3` of work done by Q in 4 days.
∴ Full work is done by Q in `4/(2/3) = 4 xx 3/2` = 6 days
(P + Q) will finish the whole work in `"ab"/("a" + "b")` days
= `(12 xx 6)/(12 + 6)`
= `(12 xx 6)/18`
= 4 days
(P + Q) will finish `(-3)/4` of the work in `4 xx 3/4` = 3 days.
APPEARS IN
RELATED QUESTIONS
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
If 56 workers can build a wall in 180 hours, how many workers will be required to do the same work in 70 hours?
Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.
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?
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?
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?
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 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 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?
