Question
Download Solution PDFIsha can do a certain piece of work in 20 days. Isha and Smriti can together do the same work in 16 days, and Isha, Smriti and Ashlesha can do the same work together in 8 days. In how many days can Isha and Ashlesha do the same work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Isha can complete the work in 20 days.
Isha and Smriti together can complete the work in 16 days.
Isha, Smriti, and Ashlesha together can complete the work in 8 days.
Formula used:
Work rate = 1 / Time taken
Calculation:
Let the work rates of Isha, Smriti, and Ashlesha be LCM(20, 16, 8) = 80 units
Efficiency of Isha = 80/20 = 4 unit per day
Efficiency of Isha + Efficiency of Smriti = 80/16 = 5 unit per day
Efficiency of Isha + Efficiency of Smriti + Efficiency of Ashlesha = 80/8 = 10 units per day
Efficiency of Smriti = 5 - 4 = 1 unit per day
Efficiency of Ashlesha = 10 - 5 = 5 units per day
Combined efficiency of Isha and Ashlesha = 4 + 5 = 9 units per day
Time taken by Isha and Ashlesha to complete the work together = 80/9 days.
∴ Option 2 is the correct answer.
Last updated on Jun 2, 2025
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