Question
Sachin can complete a job in 15 days. Ankit alone can
complete the same job in 10 days. Sachin works for 9 days and then the remaining job is completed by Ankit. How many days will it take Ankit to complete the remaining job alone?Solution
Sachin’s 1 day work = 1/15 days
∴ Sachin’s 9 days work = 9/15 = 3/5days,
∴ Remaining work = 1 - 3/5 = 2/5 part of the work.
Ankit completes 1 work in 10 days.
∴ Ankit will complete 2/5 part of the work in `10xx2/5` = 4 days.
Alternate Method:
Sachin Ankit
Time taken 15 10
Total work = LCM 30 units
2 : 3
Sachin's 9 days work = `2xx9` = 18 units
So remainning work = 30 - 18 = 12 units which is completed by Ankit alone in = 12/3= 4 days
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