Pipe & Cisterns (Work : Speed : Distance : Time ) PYQ






Q. 5 taps fill 24 litres of water in 8 hours. How many hours will 15 taps take to fill 48 litres ?


A) 4 hours 40 minutes   B) 5 hours 20 minutes  C) 6 hours  D) 6 hours 40 minutes


Short Method: M × H × W


Here:
M = Number of taps
H = Time in hours
W = Water in litres


Using: M1 × H1 × W2 = M2 × H2 × W1


               5 × 8 × 48 = 15 × H × 24

H = 5 × 8 × 48 / 15 x 24

 H = 128/ 24 = 5 1/3 hours 

 13 hour = 20 minutes

Therefore,


H = 5 hours 20 minutes


Ans: B) 5 hours 20 minutes


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Q. 6 taps fill 30 litres of water in 10 hours. How many hours will 15 taps take to fill 50 litres ?


A) 5 hours  B) 6 hours  C) 6 hours 40 minutes  D) 7 hours


Formula: H2 = M1×H1×W2 / M2×W1


H2 = 6 × 10 × 50 / 15 ×  30


H2 = 3000/450 = 6 2/3 hours 2/3 hours = 40 minutes


Ans: C) 6 hours 40 minutes


Trick: i. More taps → less time,  ii. More water → more time





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