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Question

Q. A cistern is normally filled in 10 hours. However, it takes 12 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?

Q. एक कुंड आमतौर पर 10 घंटे में भर जाता है। हालाँकि, इसे 12 घंटे लगते हैं जब इसके तल में रिसाव होता है। यदि कुंड भरा हुआ है, तो रिसाव इसे कितने समय में खाली कर देगा?

A

10 hours
10 घंटे
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B

15 hours
15 घंटे
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C

30 hours
30 घंटे
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D

60 hours
60 घंटे
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Solution

The correct option is D
60 hours
60 घंटे
Filling efficiency of the cistern without leak =110
Given, It takes 12 hours to empty the tank with leak, which means the efficiency =112
Let the emptying efficiency be 1x
Thus, 112=1101x
Solving, x=60 hours.

रिसाव के बिना टैंक भरने की क्षमता =110
यह देखते हुए, रिसाव के साथ टैंक को खाली होने में 12 घंटे लगते हैं, जिसका अर्थ है
क्षमता =112
माना खाली होने की क्षमता 1x है
इस प्रकार, 112=1101x
हल करने पर, x=60 घंटे।

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