A student walks at a brisk 3.50 mi/hr. Calculate the student's speed in yards/minute.

I have 4 questions just like this one. Could you tell me step by step on how to do the double conversions? Thanks!

You do them step by step. I use units I have memorized; sometimes that means going around the house more times to get where I'm going but it keeps me from memorizing a book of conversion factors.

3.50 mi/hr to yards/min.
I remember there are 5,280 feet/mi
There are 3 feet/yard

I remember there are 60 min in an hour.

3.50 mi/hr x (5,280 feet/mi) x (1 yd/3 feet) = ? yards/hr. Note I worked ONLY with the mile part and left the hr to another time. Now I can do that.

? yards/hr x (1 hr/60 min) = ? yds/min = ?
How do you know to multiply or divide by those conversion factors I remember. You multiply in such a way so the unit you don't want cancel and the unit you want to convert to stays. See the first factor
3.50 mi/hr x (5,280 feet/mile)= ?
I know to do (5,280 feet/mile) BECAUSE the mile unit cancels and leaves feet and that's where I want to go. If I had made it 3.50 mi/hr (1 mi/5,280 feet) the units of that would be (miles)^2/feet hr and that isn't what I want.
Note: You can always go to google and type in 3.50 miles/hour to and hit the enter button. I think 102.7 pops up.

Of course! I'd be happy to help you with the double conversions step-by-step.

Question 1: Convert student's speed from miles per hour to yards per minute.

Step 1: Convert miles to yards:
- 1 mile = 1760 yards

Step 2: Convert hours to minutes:
- 1 hour = 60 minutes

Step 3: Calculate the student's speed in yards per minute:
- Divide the speed in yards per hour by the number of minutes in an hour.

Let's calculate the answer for Question 1 together:

Given: Student's speed = 3.50 mi/hr

Step 1: Convert miles to yards:
- 1 mile = 1760 yards
- Student's speed = 3.50 mi/hr = 3.50 * 1760 yards/hr

Step 2: Convert hours to minutes:
- 1 hour = 60 minutes
- Student's speed = 3.50 * 1760 yards/hr * (1 hr / 60 min)

Step 3: Calculate the student's speed in yards per minute:
- Student's speed = 3.50 * 1760 yards/hr * (1 hr / 60 min) = (3.50 * 1760) / 60 yards/min

Therefore, the student's speed is (3.50 * 1760) / 60 yards/min.

Let me know if you have any more questions or if there's anything else I can help you with!

Certainly! To convert the student's speed from miles per hour to yards per minute, you need to perform two conversions:

1. From miles to yards
2. From hours to minutes.

Here are the step-by-step instructions:

1. Convert from miles to yards:
- Recall that there are 1,760 yards in one mile.
- Multiply the given speed (3.50 mi/hr) by the conversion factor (1,760 yards/mile).

Example:
Speed = 3.50 mi/hr
Conversion factor: 1,760 yards/mile

Calculation: 3.50 mi/hr * 1,760 yards/mile = 6,160 yards/hr

2. Convert from hours to minutes:
- Recall that there are 60 minutes in one hour.
- Divide the result from the previous step (6,160 yards/hr) by the conversion factor (60 minutes/hour).

Example:
Speed in yards/hr = 6,160 yards/hr
Conversion factor: 60 minutes/hour

Calculation: 6,160 yards/hr ÷ 60 minutes/hour = 102.67 yards/minute

So, the student's speed in yards/minute is approximately 102.67 yards/minute.

You can follow the same steps for the other similar questions by converting units using appropriate conversion factors.