Advertisements
Advertisements
प्रश्न
A can-do `1/4` of work in 5 days and B can do `1/3` of the same work in 10 days. Find the number of days in which both working together will complete the work.
Advertisements
उत्तर
A can-do `1/4` of work in = 5 days
A can-do 1 work in = 5 × 4 days
= 20 days
B can do `1/3` of work in = 10 days
B can do 1 work in = 10 × 3 days
= 30 days
A's 1-day work =`1/20`
B's 1-day work =`1/30`
(A+B)'s 1 day work =`1/20+1/30`
`=(3+2)/60`
`=5/60`
`=1/12`
∴ A and B working together will complete the work in = 12 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?
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?
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 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?
A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B, and C together finish it in 18 days. In how many days will:
(i) A alone,
(ii) C alone,
(iii) A and C together, complete the work?
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?
Two pipes P and Q would fill an empty cistern in 24 minutes and 32 minutes respectively. Both the pipes being opened together, find when the first pipe must be turned off so that the empty cistern maybe just filled in 16 minutes.
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?
