Question
Download Solution PDFReena and Riya together can complete a piece of work in 36 days. Riya and Geeta together can complete it in 54 days. Reena and Geeta together can complete it in 81 days. In how many days can Reena alone complete the work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Reena and Riya together can complete a piece of work in 36 days.
Riya and Geeta together can complete it in 54 days
Reena and Geeta together can complete it in 81 days
Calculation:
Reena and Riya = 36
Riya and Geeta = 54
Reena and Geeta = 81
Total Work LCM (36, 54, 81) = 324
Efficiency of Reena and Riya = 9
Efficiency of Riya and Geeta = 6
Efficiency of Reena and Geeta = 4
Efficiency of Reena + Riya + Geeta = 19/2
Efficiency of Reena = 19/2 - 6
⇒ 7/2
According to the question,
⇒ 324/(7/2)
⇒ 648/7
∴ Reena alone complete the work in \( 92 \frac{4}{7}\) days.
Last updated on May 28, 2025
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