Multiple choice

$A$ can do a work in $9$ days. If $B$ is $50$% more efficient than $A$, then in how many days can $B$ do the same work?

  1. $13.5$
  2. $4.5$
  3. $6$
  4. $5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If A takes 9 days, A's efficiency is 1/9 of the work per day. B is 50% more efficient than A, meaning B's efficiency is 1.5 times A's, which is 1.5 * (1/9) = 1/6. Thus, B takes 6 days to complete the work.

AI explanation

If B is 50 percent more efficient than A, the ratio of their efficiencies is 1 to 1.5, making the ratio of their times inversely proportional at 1.5 to 1. Since A takes 9 days, B takes 9 divided by 1.5, which equals 6 days. B takes 6 days to complete the work.

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