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How many minutes will it take a runner to finish a 9 km distance race if he can run 12 km hr?
Short answer: 45 minutes
Explanation: We're going to use proportions to figure this out. We have a known proportion of 12 km per 60 minutes (one hour) which we'll represent as 12/60. We then have a similar proportion with 9 km of unknown time which we'll represent as 9/X. We know these two proportions are equal so we end up with the equation:
12/60 = 9/x
Now we simplify:
12/60 = 9/X
12X = 9*60
12X = 540
X = 45
So now we know the proportion is 9 km per 45 minutes. We can also say that the runner can run 9km in 45 minutes.
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