A water tank with capacity 20000 litres is to be filled. there are two taps a and b used to fill the tank. flow of water through tap a is 18 litres/ min and through tap b is 6 litres/ min. initially tap a was opened and after 3 hours tap b was also opened. find the duration required to fill the tank to half of its capacity.
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Pipe a=18litres/min
Pipe b=6litres/min
In 3 hrs, water in=18 ×60×3=3240litres.
We multiply by 60 to convert the 3 hrs to minutes since the rate is in litres per minute.
Half the tank=10000litres
Remaining litres=10000-3240=6760litrs
In one minute the two taps let in 18+6=24 litres
Time to fill 6760 litres=6760/24=281.67minutes
Converting into hrs we have:
4hrs 41 minutes 40 seconds.
Pipe b=6litres/min
In 3 hrs, water in=18 ×60×3=3240litres.
We multiply by 60 to convert the 3 hrs to minutes since the rate is in litres per minute.
Half the tank=10000litres
Remaining litres=10000-3240=6760litrs
In one minute the two taps let in 18+6=24 litres
Time to fill 6760 litres=6760/24=281.67minutes
Converting into hrs we have:
4hrs 41 minutes 40 seconds.
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