A pastry chef completes 12 cakes in 8 hours. With an assistant at 75% his speed, how many cakes in same time?
Correct answer: B. 21
- A. 20
- B. 21
- C. 22
- D. 23
Explanation
The pastry chef's rate is 12 cakes in 8 hours, which is 1.5 cakes per hour. The assistant works at 75% of this rate, so his rate is 0.75 * 1.5 = 1.125 cakes per hour. Together, their combined rate is 1.5 + 1.125 = 2.625 cakes per hour. Over the course of 8 hours, they can jointly produce 2.625 * 8 = 21 cakes. Therefore, the correct answer is 21 cakes. The other options are incorrect because they either disregard the assistant's slower rate or miscalculate the combined productivity.
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