Question: Carson is going to spend 4 hours at a carnival. The wait for the roller coaster is 30 minutes, the wait for the tilt-a-whirl is 60 minutes, and the wait for the giant slide is 15 minutes. If Carson rides the roller coaster 4 times and the tilt-a-whirl once, how many times can he ride the giant slide? (Wait times include the time actually spent on the ride.)
Answer: First figure out how many minutes Carson spends at the carnival by multiplying the number of hours he's there by the number of minutes per hour: 4 hours * 60 minutes / hour = 240 minutes. Then figure out how long Carson spends waiting for the roller coaster by multiplying the wait time per ride by the number of rides: 4 rides * 30 minutes / ride = 120 minutes. Now subtract the time Carson spends on the roller coaster and tilt - a - whirl from the total time he spends at the park to find out how much time he has left: 240 minutes - 120 minutes - 60 minutes = 60 minutes. Now divide the time Carson has left by the wait time for the giant slide to see how many times he can ride it: 60 minutes / 15 minutes / ride = 4 rides. The answer is 4.
[Question]Kathleen receives a weekly allowance for completing all of her chores. During middle school, her allowance was $2 more than $8 but during her senior year, her allowance was $5 more than twice her middle school allowance. What is the percentage increase in Kathleen's weekly allowance?
[Answer]Kathleen's allowance in middle school was $8 + $2 = $10. Twice her middle school allowance is $10 x 2 = $20. So, Kathleen's senior year allowance is $20 + $5 = $25. Her allowance increased by $25 - $10 = $15. Kathleen's percent increase in her weekly allowance is $15 / $10 x 100% = 150%. The answer is 150.
Q: The difference in the number of pens that Alice and Clara each have matches their age difference. Alice has 60 pens and Clara has 2/5 times as many pens as Alice. If Alice's age is 20 and Clara is older than Alice, calculate Clara's age in 5 years to come.
A: If Alice has 60 pens, Clara 2 / 5 * 60 = 24 pens. The number of pens that Alice has more than Clara is 60 - 24 = 36. Since Alice is 20, and the number of pens that Alice has more than Clara is their age difference, Clara is 20 + 36 = 56 years old. In five years, Clara's age will be 56 + 5 = 61 years. The answer is 61.
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.
[Question]There were 50 racers in a bicycle charity race at the beginning of the race. After 20 minutes, 30 more racers joined the race. The total number of racers doubled after another 30 minutes. If at the end of the race only 130 people finished the race, what's the total number of people who dropped before finishing the race?
[Answer]At the start, there were 50 racers, who were joined by 30 more racers, thus 50 + 30 = 80 racers. After 30 more minutes, the number of racers doubled, totaling 80 * 2 = 160 racers. If the number of racers who finished is 130, the 160 - 130 = 30 racers dropped before finishing. The answer is 30.
[Question]Stacy just bought a 6 month prescription of flea & tick medicine for her dog for $150.00 online. Her cashback app was offering 10% cashback and she has a mail-in rebate for $25.00 on a 6-month prescription. How much will the medicine cost after cash back and rebate offers?
[Answer]
Her cash back app gave her 10% back on $150.00 so that's .10 * 150 = $15.00 cash back. She received $15.00 from the cashback app and has a $25.00 mail - in rebate for a total of 15 + 25 = $40.00 discounts. She spent $150.00 for the medicine and has $40.00 worth of discounts so the medicine will cost 150 - 40 = $110.00. The answer is 110.