Question
Download Solution PDFSupraja and Kausalya can complete a work in 30 days and 20 days, respectively. If Supraja starts the work and they work on alternate days, in how many days will 75% of the work be completed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Supraja and Kausalya can complete a work in 30 days and 20 days, respectively.
Supraja starts the work and 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 60 units (LCM of 30 and 20)
The efficiency of Supraja is 60 / 30 = 2 units
The efficiency of Kausalya is 60 / 20 = 3 units
In 2 days they do 3 + 2 = 5 units
75% of the total work is 60 × 3/4 = 45 units
So they will take (45 / 5) × 2 = 18 days.
∴ The correct option is 4
Last updated on Jul 17, 2025
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