Problem Solving

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

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

B

Rate = 5280 feet per 100x24 hours

So, feet per hour = 5280 / (100 x 24) = 11/5

Should be (B)

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

One way to convert a fraction into different types of units is to keep multiplying by 1:
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.