PE 3 - Time & Work | Arithmetic - Time & Work
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Two candles of the same length are lighted at the same time. The first is consumed in 6 hours and the second in 4 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted was the first candle twice the length of the second?
- (a)
3 hours
- (b)
2.5 hours
- (c)
1.5 hours
- (d)
2 hours
- (e)
3.5 hours
Solution
Discuss
ReportA man can do a piece of work in 80 days. He started doing the work and on every successive day, he does twice the amount of work done on the previous day. If he goes on at the same rate, in how many days will he be able to complete the work?
A can do a piece of work 3 hours faster than B. They worked together for 1 hour and then the remaining part of the work was done by B alone in 3 hours. How many hours does B take to do the work if he works alone?
- (a)
9 hours
- (b)
6 hours
- (c)
8 hours
- (d)
10 hours
A can do a piece of work in 12 days, B in 18 days. They work together for 6 days. The remaining work was finished by C in 4 days. If C received Rs. 45 for the part of the work he did, find how much B received for the work done by him.
- (a)
Rs. 120
- (b)
Rs. 100
- (c)
Rs. 150
- (d)
Rs. 90
Pipes A and B can fill a tank in 30 minutes and 40 minutes respectively and C can empty it in 60 minutes. A is opened for a minute and then closed. B is then opened for a minute and then closed. C is then opened for a minute and then closed. This process is repeated until the tank is filled. Find the time taken to fill the tank (in minutes).
- (a)
71
- (b)
72
- (c)
70 minutes and 20 seconds
- (d)
None of these
Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively and C can empty it in 15 minutes. A is opened for a minute and then closed. B is then opened for a minute and then closed. C is then opened for a minute and then closed. This process is repeated until the tank is filled. Find the time taken to fill the tank. Enter your answer as the nearest possible integer in minutes.
A cistern is provided with two supply pipes A and B and a waste pipe C. A and B fill it in 12 and 20 minutes respectively and C discharges 20 gallons of water per minute. If all the pipes are opened at once, the empty cistern is filled in 10 minutes. Find the capacity of the cistern?
- (a)
600 gallons
- (b)
550 gallons
- (c)
500 gallons
- (d)
None of these
A contractor undertook a certain work to be done in 80 days and employed 66 men to do it. After 25 days he found that 1/3rd of the work has already been finished. How many men should he dismiss so that the work may be finished on the date agreed upon?
- (a)
18
- (b)
12
- (c)
6
- (d)
4
- (e)
None of these
A can do a piece of work in 18 days. If B joins him and they work on alternate days starting with A, the work will be completed in 24 days. In how many days will B complete the same work alone?
- (a)
12 days
- (b)
18 days
- (c)
24 days
- (d)
30 days
- (e)
36 days
Two pipes can separately fill a cistern in 4 and 5 minutes respectively. If the taps are opened turn by turn, each for a minute, starting with first pipe. Find the time taken by them to fill the cistern?
- (a)
4 mins 30 seconds
- (b)
4 mins 24 seconds
- (c)
4 mins 48 seconds
- (d)
None of these