Question: Darrel is an experienced tracker. He can tell a lot about an animal by the footprints it leaves behind. One day he saw a set of coyote footprints. Based on the impressions, he could tell the animal was traveling east at 15 miles per hour, and that the animal left the prints 1 hour ago. If the coyote continues to travel east at 15 miles per hour, and Darrell hops on his motorbike and travels east at 30 miles per hour, how long, in hours, will it take for Darrel to catch up to the coyote?
Answer: Step-by-step reasoning process: If we let x be the amount of time, in hours, it will take for Darrel to catch up to the coyote, then we can figure this out. Because the distance Darrel travels is defined as the length of time Darrel travels (x) and Darrel's speed (20mph), or the expression 2 * x. And the distance the coyote travels is defined as the length of time the coyote travels (x + 1 hour) and the coyote's speed (15 mph), or the expression (x + 1) * 1. And since the distance Darrel and the coyote travel is the same, then 2 * x = (x + 1) * 1. Simplifying the expression, we get 2 * x = x + 1. If we subtract 1 x from each side, we get x = 1, the amount of time in hours.
So the answer is 1.

Question: There were 10 snowflakes at first. It snowed an additional 4 snowflakes every 5 minutes. How many minutes passed before there were 58 snowflakes?
Answer: Step-by-step reasoning process: Without the first 10 snowflakes, there are 58 - 10 = 48 snowflakes needed. 48 / 4 = 12 5 - minute intervals are needed to get the additional snowflakes. 12 * 5 = 60 minutes passed.
So the answer is 60.

Question: Claire wants to make 2 cakes for her mother. Two packages of flour are required for making a cake. If 1 package of flour is $3, how much does she pay for the flour that is enough to make 2 cakes?
Answer: Step-by-step reasoning process: She needs 2 * 2 = 4 packages of flour for 2 cakes. 4 packages of flour cost 4 * $3 = $12.
So the answer is 12.

Question: In the last 25 years, 60% of Scrabble champions have been women and the rest have been men. There is one champion per year. Of the men, 40% had a beard. How many men with beards have been Scrabble champion?
Answer:
Step-by-step reasoning process: 40% of champions are men because 100 - 60 = 40. 10 champions have been men because 25 x .4 = 10. 4 champions have been men with beards because 10 x .4 = 4.
So the answer is 4.