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Chapter 1: Problem 9

Andrew works out for 30 minutes every other day. If he spends \(35 \%\) of his workout time one day waiting for the weight rack, how many seconds of that day's workout did he spend waiting for the weight rack? A) 630 B) 35 C) 21 D) \(10.5\)

Short Answer

Expert verified
The short version of the answer is: Andrew spent \(630\) seconds waiting for the weight rack. The correct answer is (A).

Step by step solution

01

Convert minutes to seconds

First, we need to convert Andrew's workout time from minutes to seconds. There are 60 seconds in one minute, so we can multiply his 30-minute workout by 60 seconds to convert it to seconds. \( 30~\text{minutes}\times 60~\text{seconds per minute} = 1800~\text{seconds} \)
02

Calculate the percentage of waiting time

Next, we need to find 35% of his workout time, which represents the time spent waiting for the weight rack. To do this, we multiply the total workout time (in seconds) by the percentage (in decimal form) of waiting. \(1800~\text{seconds} \times 0.35 = 630~\text{seconds} \)
03

Choose the correct answer

Now, we can compare our result to the answer choices: A) 630 (Correct) B) 35 C) 21 D) \(10.5\) So, the correct answer is \( \boxed{\text{(A)} ~630} \) seconds.

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