Answer this question:Erik's dog can run 24 miles per hour. It is chasing a rabbit that can run 15 miles per hour. The rabbit has a head start of .6 miles. How many minutes does it take for the dog to catch up to the rabbit?
The dog runs .4 miles per minute because 24 / 60 = .4. The rabbit runs .25 miles per minute because 15 / 60 = .25. We know that .4(Number of Minutes) = .25(Number of Minutes) + .6. Therefore .15(Number of Minutes) = .6. Therefore (Number of Minutes) = 4.
The answer is 4.

Answer this question:Nick is asking all his co-workers to chip in for a birthday gift for Sandra that costs $100. The boss agrees to contribute $15, and Todd volunteers to contribute twice as much since he always has to one-up everyone. If the remaining 5 employees (counting Nick) each pay an equal amount, how much do they each pay?
First find Todd's contribution by doubling the boss's contribution: $15 * 2 = $30. Now subtract Todd and the boss's contributions to find out how much still needs to be paid: $100 - $30 - $15 = $55. Now divide the remaining cost by the number of employees to find the cost per employee: $55 / 5 employees = $11 / employee.
The answer is 11.

Answer this question:Wyatt's mother gave him $74 to go to the store. Wyatt bought 5 loaves of bread and 4 cartons of orange juice. Each loaf of bread cost $5 and each carton of orange juice cost $2. How much money does Wyatt have left?
The loaves of bread cost 5 * $5 = $25. The orange juice cost 4 * $2 = $8. Wyatt’s total cost is $25 + $8 = $33. Wyatt is left with the initial $74 - $33 = $41.
The answer is 41.

Answer this question:A local college is offering German lessons and currently has 8 students enrolled. Through advertising, 8 more became interested but a fourth of these dropped out within a day. 2 more got frustrated and left. The class then rallied to show how simple the course actually is and increased enrollment by 5 times the amount of students already enrolled in the class, but 2 had to drop it because of scheduling conflicts. After one last rally, 6 more people enrolled. As the days passed, half of the class eventually dropped, and half of the remaining students graduated. How many are still enrolled?
8 + 8 = 16 students are enrolled in the German class. 8 * .25 = 2 dropped out from the new recruits. 2 more left, so the class had 16 - 2 - 2 = 12 students left. There were 12 * 5 + 12 = 72 total students in the class after the rally. Two people had to drop the class, so there were 72 - 2 = 70 left. 70 + 6 = 76 were enrolled after the final rally. 76 / 2 = 38 are left after half the class dropped. 38 / 2 = 19 are left after half the class graduated.
The answer is 19.