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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 टंकी आमतौर पर 10 घंटे में भर जाती है। लेकिन, जब इसके तल में छेद होता है तो 12 घंटे लगते हैं। यदि टंकी भरी हुई है, तो छेद कितने समय में इसे 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 = 1/10
Given, It takes 12 hours to empty the tank with leak, which means the efficiency = 1/12
Let the emptying efficiency be 1/x
Thus, 1/12 = 1/10 - 1/x
Solving, x = 60 hours.

छिद्र के बिना टंकी की भरण की क्षमता = 1/10
यह देखते हुए, छिद्र के साथ टैंक को खाली करने में 12 घंटे लगते हैं,इसका अर्थ है क्षमता = 1/12
माना कि टंकी खाली करने की क्षमता 1/x है
अतः 1/12 = 1/10 - 1/x
हल करने पर, x = 60 घंटे.

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