Question: Keanu was surfing towards the shore at a speed of 20 miles per hour. A shark was swimming alongside him, riding the same wave, when it doubled its speed and moved away from Keanu. There was a pilot fish swimming alongside Keanu and the shark, and when the shark increased its speed, the pilot fish also increased its speed and moved away from Keanu, but only increasing its speed by half as much as the shark had increased its speed by. What speed, in miles per hour, was the pilot fish swimming when it moved away from Keanu?
Answer: The shark went from 20 miles per hour to a speed of 2 * 20 = 40 miles per hour. The shark increased its speed by 40 - 20 = 20 miles per hour. Half of the shark's increase in speed is 20 / 2 = 10 miles per hour. Thus the pilot fish had increased its speed to 20 + 10 = 30 miles per hour. The answer is 30.
[Question]In 6 months Bella and Bob will be celebrating their 4th anniversary. How many months ago did they celebrate their 2nd anniversary?
[Answer]First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 4 * 12 = 48 months. Then, we subtract their 6 month difference, finding they are at 48 - 6 = 42 months into their relationship. Since 2 years would be 2 * 12 = 24 months into the relationship. We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42 - 24 = 18 months. The answer is 18.
Q: Every hour past noon shadows from a building stretch an extra 5 feet, starting at zero at noon. How long are the shadows from the building 6 hours past noon in inches?
A: If the shadows lengthen by 5 feet per hour, this means that in 6 hours the shadows would have lengthened from zero to 5 * 6 = 30 feet. Since there are 12 inches in every foot, this means the building's shadow would be 30 * 12 = 360 inches in length. The answer is 360.
Question: Chalktown High School had their prom last weekend. There were 123 students who attended. If 3 students attended on their own, how many couples came to the prom?
Answer: There were 123 students – 3 single attendees = 120 students in couples. 120 students / 2 in a couple = 60 couples. The answer is 60.
[Question]On their way driving to Los Angeles, Benjamin and James see lots of billboard ads. Curious, Benjamin starts to count how many they see. In the first hour once he starts counting he counts 17 billboards. In the second hour once he starts counting he sees 20 billboards. In the third hour he sees 23 billboards. James asks Benjamin the average number of billboards they've seen per hour. What should Benjamin tell him?
[Answer]Benjamin counts 17 + 20 + 23 = 60 billboards total on the way to Los Angeles. Benjamin saw those billboards over 3 hours, so the average number of billboards per hour they saw 60 / 3 = 20 billboards per hour. The answer is 20.
[Question]A jar on the family's counter contains change they've been saving a trip to the ice cream shop. There are 123 pennies, 85 nickels, 35 dimes, and a number of quarters. All five family members get a double scoop, which costs $3 each. After the trip, they have 48 cents left over. How many quarters were in the jar?
[Answer]
The family spent $15 on ice cream because 5 x 3 = 15. They total amount of change they had was $15.48 because 15 + .48 = 15.48. They have $1.23 in pennies because 123 x .01 = 1.23. They have $4.25 in nickels because 85 x .05 = 4.25. They have $3.50 in dimes because 35 x .1 = 3.5. Without the quarters they have a total of $8.98 because 1.23 + 4.25 + 3.5 = 8.98. They have $6.5 worth of quarters because 15.48 - 8.98 = 6.5. They have 26 quarters because 6.5 / .25 = 26. The answer is 26.