Question
Download Solution PDFAkash and Vikash can complete a work in 40 days and 60 days, respectively. In how many days will the entire work be completed if they work on alternate days, starting with Akash?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Akash can complete the work in 40 days
Vikash can complete the work in 60 days
They work on alternate days, starting with Akash
Formula Used:
Work done by Akash in one day = 1/40
Work done by Vikash in one day = 1/60
Calculation:
Work done in 2 days (1 day Akash + 1 day Vikash) = 1/40 + 1/60
⇒ Work done in 2 days = 3/120 + 2/120
⇒ Work done in 2 days = 5/120
⇒ Work done in 2 days = 1/24
Total work = 1
Number of 2-day cycles needed = 1 / (1/24)
⇒ Number of 2-day cycles = 24
Each cycle consists of 2 days, so total days = 24 × 2 = 48 days
The correct answer is option (3).
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