Question
Download Solution PDFTwo workers - Sagar and Manish - are working on a heavy machine to melt waste metal. Sagar can complete the work in 15 days while both workers on alternate basis can complete the work in 12 days. In how many days can Manish alone complete the work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sagar's time to complete the work alone = 15 days
Sagar and Manish on alternate basis complete the work in 12 days
Formula used:
Let Manish's time to complete the work alone = M days
Work done by Sagar in 1 day = 1/15
Work done by Manish in 1 day = 1/M
Total work = 1
In 12 days, Sagar works for 6 days and Manish works for 6 days (since they work on alternate days)
Total work done in 12 days = 6 × (1/15) + 6 × (1/M) = 1
Calculation:
6/15 + 6/M = 1
⇒ 2/5 + 6/M = 1
⇒ 6/M = 1 - 2/5
⇒ 6/M = 3/5
⇒ M = 6 × 5/3
⇒ M = 10
∴ The correct answer is option 1.
Last updated on Jun 3, 2025
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