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?

A 5 days Correct Answer Incorrect Answer
B 8 days Correct Answer Incorrect Answer
C 6 days Correct Answer Incorrect Answer
D 4 days Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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

Practice Next
×
×