Two water taps together fill tank in 9 3/18 Tap of larger diameter takes10 hrs less
Answers
Let the tap with smaller diameter fills the tank alone in x hours.
Let the tap with larger diameter fills the tank alone in (x – 10) hours.
In 1 hour, the tap with smaller diameter can fill 1/x part of the tank.
In 1 hour, the tap with larger diameter can fill 1/(x – 10) part of the tank.
The tank is filled up in 75/8 hours.
Thus, in 1 hour the taps fill 8/75 part of the tank.
If x = 25, then (x – 10) = 25 – 10 = 15.
Thus, the tap with smaller diameter fills the tank alone in 25 hours where as the larger diameter fills the tank alone in 15 hours.
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Answer:By smaller diameter tap fills in 25 hrs.
While larger one fills in 15 hrs.
Solution=let the smaller diameter tap fills the tank alone in x hrs.
And also let the larger diameter tap fills the tank alone in {x-10} hrs
In 1 hr. The smaller diameter tap is filling = 1/x part of the tank
In 1 hr. The larger diameter tap filling in =1/(x-10) part of the tank
The taps takes together to fill the tank =9whole 3/8 hrs. Also 75/8
So in 1 hr it can fill in 8/75hrs
When x=25, then (x-10) =25-10=15
•°•the smaller diameter tap fills the tank in 25 hrs while larger one fills in 15 hrs.....
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