Question
Download Solution PDFAjay can do a piece of work in 20 days and Vijay can do the same work in 22 days. In how many days they will complete the work together if they work on alternate days and the work is started by Vijay?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Data:
Ajay's work time = 20 days
Vijay's work time = 22 days
Concept: Use the concept of work rates and effective work rates when working on alternate days.
Calculation:
LCM of 20 and 22 will be 220.
Ajay one day work = 220/20 = 11
Vijay one day work = 220/22 = 10
2 days work = 11 +10 = 21.
20 days work = 21 × 10 = 210.
Now remaining work done by Vijay = 10/10 = 1
Total work done in 20 + 1 = 21 days.
Therefore, they will complete the work together in 21 days if they work on alternate days and the work is started by Vijay.
Last updated on Jul 8, 2025
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