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
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the food last at the same rate?
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.
If 15 men can complete a piece of work in 30 days, in how many days will 18 men complete it?
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?
A contractor undertakes to dig a canal, 6 kilometers long, in 35 days and employed 90 men. He finds that after 20 days only 2 km of the canal has been completed. How many more men must be employed to finish the work on time?
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 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?
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?
