Multiple choice

Find in how many days Akash will complete the work- Statement I: Ankita and Akash working together completes the whole work in 52 days. Statement II: Ankita working with Priyansh completes 75% work in 45 days. Statement III: Efficiency of Priyansh is 20% less than efficiency of Ankita.

  1. Any two

  2. I and II or III

  3. III and I or II

  4. All three together are not sufficient

  5. All three together are sufficient

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

All three statements together are sufficient to find Akash's individual completion time. From Statement III, P = 0.8A. Combined with Statement II (A + P = 1/60), we get A = 1/108 per day. Using Statement I (A + K = 1/52), we solve for K = 1/52 - 1/108 = 7/756, giving Akash's time as 108 days. Each statement is necessary - eliminating any one leaves the system unsolvable.