Question: An old car can drive 8 miles in one hour. After 5 hours of constant driving, the car needs to get cooled down which takes 1 hour. How many miles can this car drive in 13 hours?
Answer: In 5 hours the car can drive 8 * 5 = 40 miles. One cycle of driving and pause takes 5 + 1 = 6 hours. In 13 hours this cycle can fit 13 / 6 = 2 full cycles with a remainder of 1 hour. Two cycles will last for 2 * 6 = 12 hours. During two full cycles, the car will drive 40 * 2 = 80 miles. So there is 13 - 12 = 1 remaining hour when the car can drive. That means during 13 hours the car will be able to drive 80 + 8 = 88 miles. The answer is 88.
[Question]Lydia is planning a road trip with her family and is trying to plan a route. She has 60 liters of fuel and she will use all of this during her trip. She isn't sure how much fuel she is going to use in the first third of the trip but she knows she will need a third of all of her fuel for the second third of the trip, and half this amount for the final third of the trip. How much fuel, in liters, can Lydia use in the first third of the trip?
[Answer]In the second third of the trip, Lydia is going to use 60 liters of fuel / 3 = 20 liters of fuel. In the final third of the trip, she needs half of this amount so she is going to be using 20 liters / 2 = 10 liters of fuel. So in the first third, Lydia used the remaining amount of fuel which is 60 total liters of fuel – 20 liters of fuel in the second third – 10 liters of fuel in the final third = 30 liters of fuel. The answer is 30.
Q: An employee makes 30 dollars an hour for the first 40 hours in the workweek and an additional 50% for every hour above 40 in the week. If he works 6 hours for the first 3 days in the workweek and twice as many hours per day for the remaining 2 days, how much money did he make?
A: His overtime pay per hour is 30 * 1.5 = $45 per hour. He works 6 * 2 = 12 hours per day for the last two days. He works 6 + 6 + 6 + 12 + 12 = 42 hours. He gets 42 - 40 = 2 hours of overtime. He makes 40 * 30 + 2 * 45 = $1290 for the week. The answer is 1290.
Question: Mrs. Thomson received an incentive worth $240. She spent 1/3 of the money on food and 1/5 of it on clothes. Then, she put in her savings account 3/4 of the remaining money. How much money did Mrs. Thomson save?
Answer: Mrs. Thomson spent $240 x 1 / 3 = $80 on food. She spent $240 x 1 / 5 = $48 on clothes. So she spent a total of $80 + $48 = $128 on food and clothes. Hence, she had $240 - $128 = $112 left after buying food and clothes. Then, Mrs. Thomson saved $112 x 3 / 4 = $84. The answer is 84.
[Question]Tara's parents gave her $90 for her birthday. Not wanting to spend it, Tara put the money in a new bank account that gains 10% interest annually. If she doesn't withdraw the money at all, how much will she have after a year?
[Answer]In one year, Tara's account will yield an interest of 10 / 100 * 90 = 9 dollars. The total in her account will therefore be 90 + 9 = 99 dollars. The answer is 99.
[Question]Emily loves to have pets and for that reason, she has 4 dogs in her home. Each one eats 250 grams of food per day. She has to go on vacation for 14 days. How many kilograms of food should she buy for her 4 dogs so they don't starve while she is out?
[Answer]
Each dog would eat 250 grams so 4 will would eat 4 x 250 grams = 1000 grams of food per day. 1.000 grams is equal a 1 kilogram. Emily is going on vacation for 14 days and with the 4 dogs together eating 1 kilogram of food per day, 14 days x 1 kg of food / day = 14 kg of food would be enough for two weeks. The answer is 14.