Amisha can complete a particular task In twenty days. After working for four days she fell sick for four days and resumed the work on the ninth day but with half of her original work rate. She completed the task in another twelve days with the help of a co-worker who joined her from the ninth day. The number of days required for the co-worker to complete the task alone would be.
Explanation:
Let the efficiency of Amish be 2 units/day.
If she can do the entire work in 20 days. ⇒ Total work to be done = 2 × 20 = 40 units.
Now, she works with full efficiency for first 4 days and with half efficiency for another 12 days. ∴ Work done by Amisha = 2 × 4 + 1 × 12 = 20 units.
⇒ Amisha's co-worker completed the remaining (40 - 20 =) 20 units of work in the last 12 days.
Hence, to complete the entire 40 units of work the co-worker will take 24 days.
Hence, 24.
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