Sara can finish a work in 18 days and Tara can complete the same work in 15 days. Tara worked for 10 days and left the job. In how many days can Sara finish the remaining work alone?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6.
Sara can finish the entire work = 18 days
Sara’s work rate of the work per day = 1/18
Tara can finish the entire work = 15 days
Tara’s work rate of the work per day = 1/15
Work done by Tara in 10 days = 10 × 1/15 = 2/3
Remaining work = 1 - 2/3 = 1/3
So,
The time t it will take for Sara to finish the remaining work = (1/3)/(1/18) = 1/3 × 18 = 6 days