Multiple choice

Three pipes A, B and C can fill a tank in 45, 72 and 60 minutes respectively. If all together start to fill the empty tank then pipe A is closed after 10 minutes and C is closed after 15 minutes. Find the time in which tank is filled completely. तीन पाइप A, B और C किसी टंकी को क्रमशः 45, 72 और 60 मिनट में भर सकते हैं। तीनों पाइप एकसाथ एक खाली टंकी भरने के लिए खोले जाते हैं लेकिन पाइप A, 10 मिनट बाद तथा पाइप C, 15 मिनट बाद बन्द कर दिया जाता है तो वह समय ज्ञात कीजिए जिसमें टंकी पूर्णतया भर जाएगी।

  1. 23 min./ मिनट

  2. 48 min./ मिनट

  3. 38 min./ मिनट

  4. 36 min./ मिनट

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work done = (rate × time). All three work together for 10 minutes: 10(1/45+1/72+1/60) = 190/360 tank filled. Then only B and C work for 5 minutes: 5(1/72+1/60) = 55/360 more. Total filled = 245/360. Remaining 115/360 is filled by B alone at 1/72 per minute, taking 115/5 = 23 minutes. Total time = 10+5+23 = 38 minutes.