Multiple choice

'A' is twice as good a workman as 'B', and together they complete a work in 15 days. In how many days can the work be completed by 'B' alone?

  1. 22

  2. 45

  3. 59

  4. 61

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If A is twice as good as B, A's rate = 2B's rate. Together, their rate is 3B = 1/15 of the work per day. Thus, B's rate = 1/45, meaning B takes 45 days.

AI explanation

Since A is twice as efficient as B, the ratio of their efficiencies is 2 to 1. Their combined efficiency is 3 units per day, and finishing the work in 15 days means the total work consists of 45 units (3 multiplied by 15). B alone works at a rate of 1 unit per day, so completing the 45 units of work requires 45 days.