A bucket of 15 litres is filled through a tak at raste of 1l/min. After 5 minutes the develops a crack with leakage raste 10ml/sec. Find the time required to full the bucket. Also find the amount of water saved of the crack has not developed.
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Answer:
Step-by-step explanation:
water needed to fill the bucket = 15 litres
filling at a rate of = 1 litre/min or 1000ml/60seconds or 50/3 ml/sec
in 5 mins water filled = 5×1 = 5 litres
remaining = 15 - 5 = 10 litres
rate with which it is wasting = 10ml/sec
rate with which it is going to fill the remaining 10 l would be =
(50/3 - 10)ml/sec = 20/3 ml/lit
water to be filled = 10 litre
rate = 20/3 ml/sec
time required = 10000/ (20/3) = 10000×3/20 = 1500 secs 0r 1500/60 mins
= 25 minutes
5 minutes to fill 5 litres
25 minutes to fill 10 litres
total time = 30 minutes
water saved = 1500×10 = 15000 = 15 litres
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