Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
P can do a piece of work in 12 days.
∴ P’s 1 day work = `1/12`
P’s 3 day’s work = `3 xx 1/12 = 3/12`
Q can do a piece of work in 15 days.
∴ Q’s 1 day work = `1/15`
Remaining work after 3 days = `1 - 3/12 = 9/12`
(P + Q)'s 1 day work = `1/2 + 1/15`
= `5/60 + 4/60`
= `9/60`
∴ Number of days required to finish the remaining work 9
= `"Remaining work"/(("P" + "Q")"'s" 1 "day work")`
= `(9/12)/(9/60)`
= `9/12 xx 60/9`
= 5
Remaining work lasts for 5 days
Total work lasts for 3 + 5 = 8 days.
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?
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
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?
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 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?
