Mathematics : Time and Work

तीन नल टैंक को क्रमशः 10, 15 तथा 18 मिनट में भर सकते हैं। खाली टैंक को भरने के लिए तीनों नल खोल दिये जाते हैं। 3 मिनट पश्चात तीसरा नल बन्द कर दिया जाता है, तो टैंक भरने में समय लगेगा , Three taps can fill the tank in 10, 15 and 18 minutes respectively. All the three taps are opened to fill the empty tank. After 3 minutes the third tap is closed, then the time taken to fill the tank will be

Three taps can fill the tank in 10, 15 and 18 minutes respectively. All the three taps are opened to fill the empty tank. After 3 minutes the third tap is closed, then the time taken to fill the tank will be




Solution
B. 5 Minute



Explanation

माना टैंक x मिनट में भरता है तब,

x/10 + x/15 + 3/18 = 1 ⟹ 9x + 6x + 15 / 90 = 1

⟹15x + 15 = 90

⟹15x = 7575

⟹x = 5 मिनट

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