Advertisements
Advertisements
प्रश्न
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
उत्तर
`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
संबंधित प्रश्न
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
72 men do a piece of work in 25 days. In how many days will 30 men do the same work?
A car takes 6 hours to reach a destination by travelling at a speed of 50 km per hour. How long will it take when the car travels at a speed of 75 km per hour?
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 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 do a piece of work in 24 days, A and B can do it in 16 days and A, B, and C in `10 2/3` days. In how many days can A and C do it working together?
A can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaining work?
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?
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?
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?
