Here is a work time question. You could expect a question on this topic. A topic that gets usually tested in the test.

Question

A works twice as fast as B does and together they complete a task in 8 days, how long will A lone take to complete the task?

1. 16 days

2. 4 days

3. 32 days

4. 12 days

5. 24 days

Correct Answer

Choice (4). 12 days.

Explanatory Answer

A works twice as fast as B does.

So, if B does 'x' units of work in a day, then A does 2x units of work in a day or in a day they do 3x units of work.

Together, they complete the task in 8 days.

i.e., in a day together they complete 1/8th of the total task.

3x = 1/8th of the task.

So, x = 1/24th of the task.

We know A does 2x units of work a day = 2 * (1/24) = 1/12th of the work in a day.

So, A will take 12 days to complete the task.

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