Multiple choice

A, B and C can complete a work in 35,42, 28 days respectively. If all A, B and C together start the work and A leaves 2 days before completion of work.Find the total time in which work will be finished? A, B और C एक कार्य को क्रमशः 35, 42, 28 दिनों में पूरा करते हैं। यदि सभी A, B और C एक साथ कार्य करना प्रारम्भ करते हैं और A, 2 दिन पहले कार्य को छोड़ देता है तो बताइये कार्य कितने समय में पूरा हो जायेगा ?

  1. 10

  2. 15

  3. 18

  4. 12
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A, B, and C work at rates of 1/35, 1/42, and 1/28 per day respectively. If A leaves 2 days early, A works (T-2) days while B and C work T days: (T-2)/35 + T/42 + T/28 = 1. Solving gives 6(T-2) + 5T + 7.5T = 210, so T = 12 days.

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