Multiple choice

A man can make $18$ cakes in $6$ days by working $6$ hours a day. How many cakes can he make in $24$ days if he works $6$ hours a day?

  1. $36$
  2. $24$
  3. $60$
  4. $72$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The man makes 18 cakes in 6 days working 6 hours a day. This means he makes 18 cakes in 36 man-hours (6 days * 6 hours/day), so he makes 0.5 cakes per hour. In 24 days at 6 hours per day, he works 144 hours. Total cakes = 144 hours * 0.5 cakes/hour = 72 cakes.

AI explanation

Using the proportionality of cakes to days, we have 18 cakes over 6 days equals x cakes over 24 days. Solving for x gives x equals 18 times 24 divided by 6, which results in 72 cakes.

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