[Question]In a car racing competition, Skye drove a 6-kilometer track. For the first 3 kilometers, his speed was 150 kilometers per hour. For the next 2 kilometers, his speed was 50 kilometers per hour more. For the remaining 1 kilometer, his speed was twice as fast as his speed on the first 3 kilometers. What is Skye's average speed for the entire race?
[Answer]Since time is obtained by dividing distance and speed, then Skye took 3 km / 150 km per hr. = 1 / 50 of an hour to finish the first 3 kilometers of the race. His speed on the next 2 kilometers was 150 + 50 = 200 kilometers per hour. Hence, it took him 2 km / 200 km per hr. = 1 / 100 of an hour to finish the next 2 kilometers. His speed on the remaining 1 kilometer is 150 x 2 = 300 kilometers per hour. Hence, it took him 1 / 300 of an hour to finish the 1 kilometer. So, the total time it took for Skye to complete the race was 1 / 50 + 1 / 100 + 1 / 300 = 1 / 30 of an hour. Therefore, his average speed for the entire race was 6 km / 1 / 30 hour = 180 kilometers per hour. The answer is 180.
Q: David and Brenda are playing Scrabble. Brenda is ahead by 22 points when she makes a 15-point play. David responds with a 32-point play. By how many points is Brenda now ahead?
A: Brenda is 22 + 15 = 37 points ahead after her play. Then she is 37 - 32 = 5 points ahead. The answer is 5.
Question: Tom takes medication to help him sleep. He takes 2 pills every day before bed. He needs to go to the doctor every 6 months to get a new prescription and a visit to the doctor costs $400. The medication costs $5 per pill, but insurance covers 80% of that cost. How much does he pay a year for everything?
Answer: He sees the doctor 12 / 6 = 2 times a year. So he pays 400 * 2 = $800 for doctor visits. The cost of the pill is 5 * 2 = $10 per night. But insurance covers 10 * .8 = $8. So he pays 10 - 8 = $2 per night. So he pays 2 * 365 = $730 a year. SSo his total cost is 800 + 730 = $1530 a year. The answer is 1530.
[Question]Tall Tuna has twice as many fish as Jerk Tuna. If Jerk Tuna has one hundred forty-four fish, how many fish do they have together?
[Answer]If Jerk Tuna has one hundred forty - four fish, then Tall Tuna has 2 * 144 = 288 fish. Together, they have 288 + 144 = 432 fish. The answer is 432.
Q: Maria's monthly salary is $2000. 20% of her salary goes to paying tax, and 5% goes to insurance. Also, a quarter of the money left after the deductions is spent on utility bills. How much money does Maria have after the deductions and utility bills payment?
A: Maria's deduction for tax is 2000 x 20% = $400. Her deduction for insurance is 2000 x 5% = $100. Maria's total deductions is $400 + $100 = $500. After the deductions, Maria has only $2000 - $500 = $1500 left from her salary. Then, Maria pays $1500 / 4 = $375 for the utility bills. So, Maria has $1500 - $375 = $1125 after the deductions and utility bills payment. The answer is 1125.
Question: Carla bought 2 bags of mini peanut butter cups on clearance. Each bag was $6.00 but was 75% off. How much did she spend on 2 bags of candy?
Answer:
Each bag was $6.00 but was marked down 75% for clearance so that's 6 * .75 = $4.50 discount. Each bag was $6.00 and there is a $4.50 discount so each bag is 6 - 4.50 = $1.50. Each bag was marked down to $1.50 a bag and she bought 2 bags for a total of 1.5 * 2 = $3.00. The answer is 3.