Multiple choice

Shivam, Divya, Eva and Gagan are employed to finish a work. Eva takes 4 days less than Shivam to finish the work while Gagan takes 1/4th of the time taken by Divya to finish the work. Together they can finish the work in 1 day. Due to some illness Gagan was not able to work, so Shivam, Divya and Eva started working together without Gagan. After 1 day, Eva left and the work was finished in 2 more days. Find the number of days in which Eva can finish the work alone.

  1. 4 days

  2. 2 days

  3. 8 days

  4. 12 days

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let S, D, E, G be days for each person. Given: E = S-4, G = D/4. Combined rate: 1/S + 1/D + 1/E + 1/G = 1. After G drops, S+D+E work 1 day, then S+D work 2 more days: 3/S + 3/D + 1/E = 1. Solving with E=S-4 gives S=8, E=4 days. Claimed answer A is correct.

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