[Question]Mark was caught speeding and the judge wants to make an example out of him. The base fine for speeding is $50 but additional penalties apply in this case. The fine is increased by $2 for every mile per hour Mark was going over the speed limit. He was going 75 miles per hour in a 30 mile per hour zone. The fine is also doubled because he was in a school zone. Finally, the judge makes Mark pay $300 in court costs and he also has to pay his lawyer $80/hour for three hours of work. How much does Mark owe for this speeding ticket?
[Answer]First figure out how many miles over the speed limit Mark was going: 75 mph - 30 mph = 45 mph. Now figure out how much the per - mile fine is: $2 / mph * 45 mph = $90. Now add that amount to the base fine: $90 + $50 = $140. Now double that amount for being in a school zone: $140 * 2 = $280. Now figure out how much Mark owes his lawyer: $80 / hour * 3 hours = $240. Now add the court costs, lawyer fees and fine: $240 + $300 + $280 = $820. The answer is 820.
Q: Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, how many minutes did Leo finish the third part of the assignment?
A: It took Leo 25 x 2 = 50 minutes to finish the second part of the assignment. Leo finished the first and second parts of the assignment in 25 + 50 = 75 minutes. He finished the entire assignment in 60 x 2 = 120 minutes. Therefore, it took Leo 120 - 75 = 45 minutes to finish the third part of the assignment. The answer is 45.
Question: Jerry has a bunch of half-empty soda cans on his desk. He needs to drain all of them and put them in the recycling bin. He can carry four cans at once, and it takes him 30 seconds to drain those 4 cans. It takes him ten seconds each way to walk to the sink and recycling bin and then back to his desk. If there are 28 cans on Jerry's desk, how long does it take him to throw all of them away?
Answer: Jerry has to walk to the sink / recycling bin 28 cans / 4 cans per trip = 7 trips. The round trip takes 10 seconds per way * 2 ways = 20 seconds. Counting the time he spent pouring out the cans and the time the round trip took, he spent 20 seconds per trip + 30 seconds per trip = 50 seconds per trip. With 7 round trips, he spent 50 seconds per trip * 7 trips = 350 seconds. The answer is 350.
[Question]Ken can do 20 sit-ups without stopping. Nathan can do twice as many, and Bob can do half the number of Ken and Nathan's combined sit-ups. How many more sit-ups can Bob do compared to Ken?
[Answer]Nathan can do 20 x 2 = 40 sit ups. Ken and Nathan's combined number is 20 + 40 = 60 sit - ups. Bob can do 60 / 2 = 30 sit - ups. Bob can do 30 - 20 = 10 more sit - ups than Ken. The answer is 10.
Q: The Reptile House at the zoo has 5 fewer animals than 3 times the number of animals housed in the Rain Forest exhibit. If the Reptile House has 16 animals, how many are in the Rain Forest exhibit?
A: Let x be the number of animals in the Rain Forest exhibit. 3x - 5 = 16. 3x = 21. x = 7. The answer is 7.
Question: Jason is trying to figure out whether he can afford a new car. The car he wants costs $32,000, and he can make a down payment of $8,000. He'll have to get a loan for the rest of the amount and make 48 equal monthly payments on it. Each month, he also has to pay interest equal to 5% of that month's payment. How much will Jason's monthly payments be?
Answer:
First figure out how much the loan will be: $32,000 - $8,000 = $24,000. Then divide the loan amount by the number of payments to find the monthly payment before interest: $24,000 / 48 months = $500 / month. Then multiply the loan amount by 5% to find out how much the interest is: $500 / month * .05 = $25 / month. Then add the interest to the payment amount to find the total monthly payment: $500 / month + $25 / month = $525 / month. The answer is 525.