Multiple choice

A and B can do a piece of work in 10 days and 15 days respectively. They begin to work together but B leaves after 2 days. In what time will A be able to complete the remaining work?

  1. $6\frac{1}{3} days$
  2. $7 days$
  3. $6\frac{2}{3} days$
  4. $8 days$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's rate = 1/10, B's rate = 1/15. Combined work in 2 days = 2(1/10+1/15) = 2(1/6) = 1/3. Remaining work = 2/3. A's time for 2/3 = (2/3) / (1/10) = 20/3 = 6 2/3 days. Option C is correct.