Q: A driver travels 30 miles per hour for 3 hours and 25 miles per hour for 4 hours to deliver goods to a town every day from Monday to Saturday. How many miles does the driver travel in a week?
A: The driver travels (3 hours * 30 mph) + (25 mph * 4 hours) = 190 miles per day. From Monday to Saturday he travels in total 190 miles / day * 6 days = 1,140 miles in a week. The answer is 1140.
Question: There are 25 different layers of rock in a canyon’s strata. Five of the layers are limestone. Half of the rest are sandstone. Four of the remaining are quartz. Half of the rest are shale. The rest are all different kinds of rock. How many kinds of rock make up only one layer in the canyon’s strata?
Answer: There are 25 - 5 = 20 layers of rock that are not limestone. Half of those 20 are sandstone, so there are 20 / 2 = 10 that are not limestone or sandstone. Four of those are quartz, so 10 - 4 = 6 layers are not limestone, sandstone, or quartz. Half of the rest are shale, so 6 / 2 = 3 kinds of rock remain that make up only one layer in the strata. The answer is 3.
[Question]Mara and Riley went to a carnival, Mara rode the bumper car two times, Riley rode the space shuttle four times, and they both rode the Ferris wheel three times. If a ticket for a bumper car cost $2, a ticket for a space shuttle cost $4, and a ticket for a Ferris wheel cost $5, how much money did they spend?
[Answer]Mara spent $2 x 2 = $4 for riding the bumper car two times. Riley spent $4 x 4 = $16 for riding the space shuttle 4 times. They spent $5 x 3 = $15 each riding the Ferris wheel 3 times. So, they spent a total of $15 x 2 = $30 riding the Ferris wheel. Therefore the total amount they spent at the carnival is $4 + $16 + $30 = $50. The answer is 50.
Q: Chang's Garden has two kinds of apples. Sweet ones and sour ones. He can sell the sweet ones for $.5 an apple. The sour ones sell for $.1 an apple. 75% of the apples he gets are sweet and the rest are sour. If he earns $40, how many apples did his trees give him?
A: 25% of the apples are sour because 100 - 75 = 25. The average price of an apple sold is $.4 because .75(.5) + .25(.1) = .4. He got 100 apples because 40 / .4 = 100. The answer is 100.
Question: Robi Ney wants to fill a 120-liter tub. He is amused by letting the water run for 1 minute, then closing the water supply for 1 minute, and so on alternating opening and closing the water supply. But the cap at the bottom of the tub is not very airtight and lets 1 liter of water escape per minute. The flow rate of the tap is 12 liters per minute. How long does it take to fill the tub in minutes?
Answer: In 2 minutes, 12 liters of water flow into the bathtub and 2 liters (2 minutes x 1 liter / minute ) escape. This will leave 12 – 2 = 10 liters of water every two minutes. We can divide the number of liters by the number of minutes to find the average flow per minute, which is 10 / 2 = 5 liters per minute. To fill the tub, it will take 120 liters / 5 liters / min = 24 min. The answer is 24.
Q: Janet has a business selling custom collars for dogs and cats. If it takes 18 inches of nylon to make a dog collar and 10 inches to make a cat collar, how much nylon does she need to make 9 dog collars and 3 cat collars?
A:
First find the total number of inches of nylon used for the dog collars: 18 inches / dog collar * 9 dog collars = 162 inches. Then find the total number of inches of nylon used for the cat collars: 10 inches / cat collar * 3 cat collars = 30 inches. Then add the nylon needed for the cat and dog collars to find the total amount needed: 162 inches + 30 inches = 192 inches. The answer is 192.