Multiple choice

Naimish take twice as much time as Arun and thrice as much as Deepak. If they all work together and finish the work in 2 days . Find in how many days Deepak can alone finish the work? नैमिष अरुण से दुगना समय और दीपक से तीन गुना समय लेता हैं कार्य पूरा करने में | यदि ये तीनो एक साथ कार्य करें तो कार्य 2 दिन में समाप्त हो जाता हैं |ज्ञात कीजिये दीपक अकेले ये कार्य कितने दिनों में पूरा केर सकता हैं ?

  1. 6

  2. 4

  3. 12

  4. 8

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

Let Naimish, Arun, and Deepak take n, a, and d days respectively. Given n = 2a and n = 3d, so their one-day work is 1/n, 1/a, 1/d. Working together: (1/n + 1/a + 1/d) = 1/2. Since n = 3d, Arun takes 1.5d days. Combined rate: 1/(3d) + 1/(1.5d) + 1/d = 1/(3d) + 2/(3d) + 1/d = 2/d. Therefore 2/d = 1/2, giving d = 4 days for Deepak alone.