Pierre 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. 30 5/72 miles
B. 18 miles
C. 5/72 of a mile
D. 2 1/12 miles
To find out how far Pierre would move in 30 minutes, we can set up a proportion.
We know that Pierre moves 1 1/4 miles in 18 minutes.
Let x be the distance he moves in 30 minutes.
So, we can set up the proportion:
(1 1/4 miles) / (18 minutes) = x miles / (30 minutes)
To solve for x, we can cross multiply and then divide:
(1 1/4) * (30) = 18 * x
(5/4) * (30) = 18 * x
(5/1) * (3/1) = 18 * x
15/1 = 18 * x
15 = 18 * x
Dividing both sides by 18 gives us:
15/18 = x
Simplifying the fraction gives us:
5/6 = x
Therefore, Pierre would move 5/6 of a mile in 30 minutes.
The correct answer is C. 5/72 of a mile.