ierre is rowing his kayak on a lake. He moves 1 1/4 miles in 18 minutes. At this rate, how far would he move in 30 minutes?
A.
of a mile
B.
18 miles
C.
miles
D.
miles
To find out how far Pierre would move in 30 minutes, we can set up a proportion:
1 1/4 miles / 18 minutes = x miles / 30 minutes
To get rid of the fraction, we can multiply both sides of the equation by the least common multiple (LCM) of 18 and 30, which is 90:
(1 1/4 miles / 18 minutes) * 90 = (x miles / 30 minutes) * 90
Simplifying the left side of the equation:
(5/4) * 90 = (x/30) * 90
(5 * 90) / 4 = (x/30) * 90
450/4 = (x/30) * 90
112.5 = 3x
Dividing both sides of the equation by 3 to isolate x:
112.5 / 3 = 3x / 3
37.5 = x
Therefore, Pierre would move 37.5 miles in 30 minutes.
Answer: C. 37.5 miles