Proportion and Ratios

Question

A kangaroo, jumping at a constant rate, can travel 15 miles in 3 hours. A pogo-stick expert, also moving at a constant rate, travels 25 miles in 5 hours. At what rate is each traveling? How far can each travel in 6 hours?

Answer 1

First, start with thinking about rates. Everyday, we think of rates in miles per hour or some other distance per time.

Since they gave you the miles traveled in hours simplify these expressions

kangaroo: 15 miles/3 hours = 15/3 = 5 miles per hour

pogo-stick expert: 25 miles/5 hours= 25/5= 5 miles per hour

 

Next, since we know their rate of movement (5miles/hr) we can find how far they traveled in 6 hours

5 miles/1 hour x 6 hours = 30 miles

Since we need "how far" aka miles we take the rate and mulitply it by the hours so that the labels hours cancels out leaving miles. 

 

Let me know if you have further questions!