Which rate does not belong?

A. 60 mi/h
B. 88 ft/s
C. 500 ft/min
D. 1,440 mi/day

What a grest little exercise ! . . . . . The 500 ft/min doesn't belong. The other three choices are all the same speed.

Answered by AL2006 | 2024-06-10

The correct option is 500 ft/min. By converting each rate to feet per second, it's clear that the rate of 500 ft/min does not belong as it is significantly slower than the others, which are equivalent to or faster than 60 mi/h and 88 ft/s.
To determine which rate does not belong, we need to convert each rate to a common unit of measurement and compare them. The rates are originally in miles per hour (mi/h), feet per second (ft/s), and feet per minute (ft/min), and miles per day (mi/day).
First, let's convert all rates to feet per second for comparison:
60 mi/h = 60 * 5280 ft / 3600 s = 88 ft/s
88 ft/s is already in feet per second.
500 ft/min = 500 ft / 60 s ≈ 8.33 ft/s
1440 mi/day = 1440 * 5280 ft / (24 * 3600) s ≈ 1 ft/s
After conversion, it's apparent that the original rates for 60 mi/h and 88 ft/s are equal. Therefore, the rate that does not belong is 500 ft/min, which is significantly slower than the others when converted to the same unit of feet per second.

Answered by IngridBergman | 2024-06-24

The rate that does not belong is 500 ft/min, as it converts to approximately 0.095 mi/min, which is different from the other options that convert to 1 mi/min. The other three rates are equivalent when expressed in the same units. Thus, 500 ft/min is the outlier.
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Answered by AL2006 | 2024-12-26