Question

determine if each problem is worked correctly and, if not, find the mistake. sam estimated that it would take 440 minutes to complete a job but it actually took 380 minutes. how many hours did it actually take to complete the job? answer: 3 hours 80 minutes. a) sam made a mistake by multiplying by 60 instead of dividing by 60 b) sam made a mistake by assuming there are 100 minutes in an hour c) sam made a mistake by converting 440 minutes instead of 380 minutes d) sam’s answer is correct

Explanation:

Step1: Calculate actual time in hours

To convert minutes to hours, divide by 60 (since 1 hour = 60 minutes).
$\frac{380}{60} = 6\frac{1}{3}$ hours or approximately 6.33 hours

Step2: Analyze Sam's error

Sam's answer was 3 hours. To get 3 from 440, he would have divided by $\frac{440}{3} \approx 146.67$, which is not a standard conversion. Instead, the error comes from using the wrong total minutes: he used 440 (his estimate) instead of the actual 380, and likely miscalculated, but the key option matches using the wrong minutes value.

Step3: Match to correct option

Sam used his estimated 440 minutes instead of the actual 380 minutes when converting, which is option C.

Answer:

C) Sam made a mistake by converting 440 minutes instead of 380 minutes