Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
A's one day's work =`1/10`
B's one day's work =`1/12`
C's one day's work =`1/15`
A, B and C's one day's work =`1/10+1/12+1/15`
`=(6+5+4)/60=15/60=1/4`
Let the work completed in x days
∴ A's 2 days work + B's (x − 3) days work + C's x days work = 1
`⇒2xx1/10+("x"-3)xx1/12+"x"xx1/15=1`
`⇒1/5+("x"-3)/12+"x"/15=1`
`(12+5"x"-15+4"x"=60)/60` ...(L.C.M of 5, 12, 15 = 60)
⇒ 9x = 60 − 12 + 15
⇒ 9x = 63
`⇒"x"=63/9=7`
∴ Work will last for 7 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?
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?
Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.
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 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 together can do a piece of work in `6 2/3` days, but B alone can do it in 10 days. How long will A take to do it alone?
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?
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?
