Consider the Q and A. Q: The length of a rectangle is four times its width. If the area is 100 m2. what is the length of the rectangle?
A: 20
What is the step-by-step reasoning process?
Step-by-step reasoning process: Let L be the length and W be the width of the rectangle. Hence L = 4 * W. We now use the area to write 80 = L * W. Substitute L by 4 W in the equation above 80 = 4 * W W = 4 W^2. Solve for W and find L. 4 W^2 = 100. W^2 = 25, W = 5 and. L = 4 * 5 = 20 m.

Consider the Q and A. Q: A fox can run at the maximum speed of 50 kilometers per hour. Considering the fox would run at a constant speed, what distance would he make during 120 minutes?
A: 100
What is the step-by-step reasoning process?
Step-by-step reasoning process: 1 hour is 60 minutes, so 120 minutes is 120 / 60 = 2 hours. During one hour a fox can make 50 kilometers, so during two hours, he would be able to run 50 * 2 = 100 kilometers.

Consider the Q and A. Q: If one fourth of the engines are defective, and there are 5 batches of 80 engines each. How many engines are not defective?
A: 300
What is the step-by-step reasoning process?
Step-by-step reasoning process: There are 80 * 5 = 400 engines in total. 400 / 4 = 100 of the engines are defective. 400 - 100 = 300 of the engines are not defective.

Consider the Q and A. Q: A roadwork company is paving a newly constructed 16-mile road. They use a mixture of pitch and gravel to make the asphalt to pave the road. Each truckloads of asphalt uses two bags of gravel and five times as many bags of gravel as it does barrels of pitch to make. It takes three truckloads of asphalt to pave each mile of road. The company paved 4 miles of road on one day, then one mile less than double that on the second day. How many barrels of pitch will the company need to finish the remaining road on the third day?
A: 6
What is the step-by-step reasoning process?
Step-by-step reasoning process:
On the second day, the company paved 4 * 2 - 1 = 7 miles. The company has 16 - 7 - 4 = 5 miles of road remaining to pave. They will need 3 * 5 = 15 truckloads of asphalt to pave 5 miles of road. For 15 truckloads, they will need 15 * 2 = 30 bags of gravel. Thus, the company will need 30 / 5 = 6 barrels of pitch to finish the road on the third day.