3 taps a, b & c fill a tank in 12, 15 & 20 hrs resp. If a is open all the time & b and c are open for one-hour each alternately, the tank will be full in how many hrs?
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Answer:
Step-by-step explanation:
Taking the lcm(12,15,20) = 60 liters (capacity of the tank)
In 1 hr : A can fill 5 liters(60/12), B = 4 liters C = 3 liters
Its given that A is open all time and B & C alternately.
So in 1st hr : A+B = 9 liters
2nd hr : A+C = 8 liters
3rd hr : A+B = 9 liters
4th hr : A+C = 8 liters
5th hr : A+B = 9 liters
6th hr : A+C = 8 liters
7th hr : A+B = 9 liters
Total = 60 liters (Capacity of the tank).
So Ans = C. 7 hours.
Hope it helps you....
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