Multiple choice

A can do a piece of work in 18 days. If B joins A after 9 days, in how many days more will the work be completed? I. B works faster than A. II. The ratio of the measure of the amount of work done by A and B in one day is 2 : 3.

  1. The question cannot be answered even with the help of both the statements together.

  2. The question can be answered with the help of statement II alone.

  3. The question can be answered with the help of statement I alone.

  4. The question can be answered with the help of both statements together.

  5. The question can be answered with either statement I or statement II.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A completes work in 18 days, so A's rate = 1/18 per day. After 9 days, A completes 9/18 = 1/2 of work. Remaining = 1/2. Statement I: B works faster than A (insufficient). Statement II: A:B work ratio = 2:3, so B's rate = (3/2)×(1/18) = 1/12 per day. Combined rate = 1/18 + 1/12 = 5/36 per day. Time for half work = (1/2)/(5/36) = 18/5 = 3.6 days. Statement II alone is sufficient.

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