During a spring season, a certain glacier surged at the rate of 1 mile per 100 days. What was its rate in feet per hour? (1 mile = 5,280 feet)
A. 5/11
B. 11/5
C. 55
D. 110
E. 22,000
rate
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Bklaud wrote:During a spring season, a certain glacier surged at the rate of 1 mile per 100 days. What was its rate in feet per hour? (1 mile = 5,280 feet)
A. 5/11
B. 11/5
C. 55
D. 110
E. 22,000
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One way to convert a fraction into different types of units is to keep multiplying by 1:klaud wrote:During a spring season, a certain glacier surged at the rate of 1 mile per 100 days. What was its rate in feet per hour? (1 mile = 5,280 feet)
A. 5/11
B. 11/5
C. 55
D. 110
E. 22,000
1 mile/100 days * 5280 feet/1 mile * 1 day/24 hours.
Each fraction after the first is equal to 1 because the total number of units in the numerator is the equivalent of the total number of units in the denominator:
5280 feet = 1 mile.
1 day = 24 hours.
Multiplying by 1 converts the fraction without changing its value.
All of the units in color will cancel out, leaving a fraction in terms of feet per hour:
(1*5280*1)/(100*1*24) = 264/(5*24) = 11/5.
The correct answer is B.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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