Pipe X can fill a tank in 60 hours while pipe Y can fill the tank in 72 hours. Both pipes are opened together for 20 hours. How much of the tank is left empty ?
Pipe X can fill a tank in 60 hours while pipe Y can fill the tank in 72 hours. Both pipes are opened together for 20 hours. How much of the tank is left empty ?
पाइप X किसी टंकी को 60 घंटे में भर सकता है, जबकि पाइप Y उसी टंकी को 72 घंटे में भर सकता है। दोनों पाइपों को एक साथ 20 घंटे तक खोला जाता है। टंकी का कितना भाग अभी भी खाली रह जाएगा?
Detailed Solution & Logic
$\frac{7}{18}$
Pipe X fills the tank in 60 hours.
Pipe Y fills the tank in 72 hours.
Combined work in 1 hour
$=\frac{1}{60}+\frac{1}{72}$
$=\frac{6+5}{360}$
$=\frac{11}{360}$
Work done in $20$ hours
$=\frac{11}{360}\times20$
$=\frac{11}{18}$
Tank left empty
$=1-\frac{11}{18}$
$=\frac{7}{18}$
Answer: $\frac{7}{18}$
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