Question

question 2 of 10
a student skipped a step when she tried to convert 26 hours into seconds, and she got the following incorrect result:
26 hours (\\(\frac{60\text{ seconds}}{1\text{ minute}}\\)) = 1560 seconds
what conversion ratio did she skip in this multiple - step conversion?
\\(\bigcirc\\) a. \\(\frac{1\text{ hour}}{60\text{ minutes}}\\)
\\(\bigcirc\\) b. \\(\frac{60\text{ seconds}}{1\text{ minute}}\\)
\\(\bigcirc\\) c. \\(\frac{1\text{ minute}}{60\text{ seconds}}\\)
\\(\bigcirc\\) d. \\(\frac{60\text{ minutes}}{1\text{ hour}}\\)

Explanation:

To convert hours to seconds, the correct steps are: hours → minutes → seconds. The student used the conversion from minutes to seconds ($\frac{60 \text{ seconds}}{1 \text{ minute}}$) but skipped converting hours to minutes. The conversion ratio for hours to minutes is $\frac{60 \text{ minutes}}{1 \text{ hour}}$, which is option D. Options A has the ratio reversed, B is the one she used, and C is for seconds to minutes (reversed of what's needed here).

Answer:

D. $\frac{60 \text{ minutes}}{1 \text{ hour}}$