Question
Download Solution PDFRekha alone can complete a work in 16 days, and Bina alone can complete the same work in 12 days. Starting with Rekha, they work on alternate days. The total work will be completed in:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Rekha alone can complete a work in 16 days, and Bina alone can complete the same work in 12 days.
Starting with Rekha, they work on alternate days.
Concept used:
Efficiency = (Total work / Total time taken)
Efficiency = work done in a single day
Calculation:
Let the total work is the 48 units (LCM of 16 and 12)
The efficiency of Rekha is 48 / 16 = 3 units
The efficiency of Bina is 48 / 12 = 4 units
In 2 days they do 3 + 4 = 7 units
They do 42 units of work in 6 × 2 = 12 days
Then Rekha does 3 units in 1 day
Then Bina does 3 units in 3/4 day
Total number of days will be 12 + 1 + 3/4 = 13\(\frac{3}{4}\) days
∴ The correct option is 4
Last updated on Jul 14, 2025
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