A can complete a work in 10 days. B can complete the same work in 15 days. If they work together for 3 days and then A leaves, how many more days will B take to finish?
A5 days
B6 days
C7 days
D8 days
Correct Answer:
B. 6 days
Explanation:
Work rate A = 1/10, B = 1/15. Combined = 5/30 = 1/6. In 3 days = 3/6 = 1/2 work done. Remaining = 1/2. B's time = (1/2)/(1/15) = 7.5 days
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both pipes are opened together and pipe C (outlet) is opened after 2 hours which can empty the tank in 10 hours, how long will it take to fill the tank?
A8 hours
B9.5 hours
C10 hours
D11 hours
Correct Answer:
B. 9.5 hours
Explanation:
Rate A = 1/12, Rate B = 1/15. Combined = 9/60 per hour. In 2 hours: 18/60 filled. Remaining = 42/60. New rate = 9/60 - 1/10 = 3/60. Time = (42/60)/(3/60) = 14 hours. Total = 2 + 7.5 = 9.5 hours