Time and Work Problems Shortcuts and Tricks




1. To complete a work, A and B take 30 days, B and C take 24 days, and C and A take 20 days. They all start together and work for 5 days after which B and C leave. How many more days will A take to finish the remaining work?
(a) 11
(b) 28
(c) 33
(d) 18

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2. Tap a fills a tank in 20 minutes while C empties it at 1/3rd the rate at which A fills it. At 12:00 noon, A and C are simultaneously started and when the tank is 50% full, tap A is turned off. At what time will the tank be empty?
(a) 12:35 pm
(b) 12:45 pm
(c) 12:30 pm
(d) 12:55 pm

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3. Four plumbers had to repair 364 taps. At the end of 3 days working 7 hours per day they had repaired 168 taps. In order to speed up the work, 3 more plumbers were added who also worked 7 hours daily. If efficiency of each of the plumbers is same, how many additional days would it take to complete the task?
(a) 2 days
(b) 3 days
(c) 4 days
(d) 1.5 days

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4. Tap A can fill a tank in 16 minutes and tap B can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, the tank will be either filled or emptied? How long will it take before the tank is either filled or emptied?
(a) Emptied; 16 minutes
(b) Filled; 8 minutes
(c) Emptied; 8 minutes
(d) Filled; 12 minutes

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5. Three-fourth of a tank is full of water. If 5 litres are added to it, then four-fifth of the tank becomes full. What is capacity of the tank?
(a) 75 litres
(b) 80 litres
(c) 100 litres
(d) 120 litres

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Time and Work Problems Shortcuts and Tricks :

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