Two pipes A and C can fill a tank in 10 hours and 15 hours respectively.
Two pipes A and C can fill a tank in 10 hours and 15 hours respectively. If pipe A is kept open all the time and C is opened for only 30 minutes, then find the time required to fill the tank.
दो पाइप A और C एक टैंक को क्रमशः 10 घंटे और 15 घंटे में भर सकते यदि पाइप A हर समय खुला रहता है और C को केवल 30 मिनट के लिए खोला जाता है, तो टैंक को भरने में लगने वाला समय ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
\(9\frac{2}{3} \) hours
Solution:
A's rate = 1/10 tank/hour
C's rate = 1/15 tank/hour
For first 30 minutes = $1/2$ hour, both are open:
$\frac{1}{2}\left(\frac{1}{10}+\frac{1}{15}\right)=\frac{1}{12}$
Remaining work:
$1-\frac{1}{12}=\frac{11}{12}$
Time taken by A:
$\frac{11}{12}\times10=\frac{55}{6}=9\frac{1}{6}$ hours
Total time:
$\frac{1}{2}+9\frac{1}{6}=9\frac{2}{3}$ hours
Answer: 4. $9\frac{2}{3}$ hours
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