Consider the Q and A. Q: Jace drives 60 miles per hour. If Jace drives for 4 hours straight, take a 30-minute break, and then drives for another 9 hours straight, how many miles will he travel?
A: 780
What is the step-by-step reasoning process?
Step-by-step reasoning process: Jace drives a total of 4 + 9 = 13 hours. Jace will travel 60 * 13 = 780 miles.

Consider the Q and A. Q: Balki is counting the number of raisins in boxes of cereal. He counted 437 total raisins in 5 boxes. In one box he counted 72 raisins. In a second box he counted 74 raisins. The other three boxes had the same number each. How many were in each of the other three boxes?
A: 97
What is the step-by-step reasoning process?
Step-by-step reasoning process: Let x = the number of raisins in each of the other 3 boxes. Then 72 + 74 + 3x = 437 raisins. Combining like terms we get 146 + 3x = 437 raisins. Subtracting 146 from both sides we get 3x = 291 raisins. Dividing both sides by 3, we get x = 291 / 3 = 97 raisins.

Consider the Q and A. Q: The bald eagle can dive at a speed of 100 miles per hour, while the peregrine falcon can dive at a speed of twice that of the bald eagle.  Starting from the same treetop, if it takes the bald eagle 30 seconds to dive to the ground, how long, in seconds, will it take the peregrine falcon to dive the same distance?
A: 15
What is the step-by-step reasoning process?
Step-by-step reasoning process: Twice the speed of the bald eagle is 100 * 2 = 200 miles per hour. Let "x" be the time in seconds it takes the peregrine falcon to travel to the ground. Thus, based on the ratio of their speeds, the following expression is given: x = 30 * (100 / 200). Thus, x = 15 seconds.

Consider the Q and A. Q: Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats 1/3rd the weight of food per hour as water per hour. How much weight is she carrying after six hours?
A: 34
What is the step-by-step reasoning process?
Step-by-step reasoning process:
First find the weight of food Karen eats every hour: 2 pounds * 1 / 3 = 2 / 3 pounds food. Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water / hour + 2 / 3 pound food / hour = 8 / 3 pounds / hour. Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8 / 3 pounds / hour * 6 hours = 16 pounds. Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = 50 pounds. Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = 34 pounds.