Multiple choice

A, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B left off 8 days and C six days before the completion of the work. In what time will the work be finished ? A, B और C एक काम को अलग-अलग क्रमशः 16, 32 और 48 दिनों में कर सकते हैं। वे एक साथ कार्य करना प्रारम्भ करते हैं लेकिन 8 दिन बाद काम करना छोड़ देता है और C कार्य पूरा होने से 6 दिन पहले कार्य छोड़ देता है। कितने समय में कार्य पूरा हो जायेगा ?

  1. 10 days/दिन

  2. 8 days/दिन

  3. 12 days/दिन

  4. 14 days/दिन
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total work be 96 units (LCM of 16, 32, 48). A's rate = 6 units/day, B's rate = 3 units/day, C's rate = 2 units/day. If total time is T days, A works all T days, B works T-8 days, C works T-6 days. So 6T + 3(T-8) + 2(T-6) = 96, which gives 11T = 132, so T = 12 days.

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