Math CentralQuandaries & Queries


Question from Dolores:

if I drove 3/4 mile in 32 seconds, what was my speed ?

Hi Dolores,

You didn't say what units you want for the speed so I am going to assume you want it in miles per hour.

You know the distance in miles and hence you just need to convert the time to hours. There are 60 seconds in an minute and 60 minutes in an hour so there are $60 \times 60$ seconds in an hour. Hence

\[32 \mbox{ seconds is } \frac{32}{60 \times 60} \mbox{ hours.}\]

Thus to find the speed in miles per hour divide $\large \frac34$ by $\large \frac{32}{60 \times 60}.$


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