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How Do You Figure Out the Time Traveled if You Know the Distance and Speed?

Darius is going home from college for the weekend. He checked Google Maps and found out his home is 480 miles away. If he drives at a constant speed of 60 miles per hour, how long will it take Darius to get home?

Summary

  1. The formula for uniform motion is d=rt
  2. d is equal to distance
  3. r is equal to rate
  4. t is equal to time
  5. The distance is 480 miles
  6. The rate is 60 mph
  7. The time is our unknown
  8. Plug the values into the formula to find t
  9. Divide both sides by 60 to solve for t
  10. It takes Darius 8 hours to get home

Notes

    1. The formula for uniform motion says that distance equals rate times time
    1. The formula for uniform motion says that distance equals rate times time
    1. The formula for uniform motion says that distance equals rate times time
    2. d stands for distance
    3. r stands for rate
    4. t stands for time
    1. The formula for uniform motion is d=rt
    2. d, r, and t are the variables in the formula
    1. d, r, and t are the variables in the formula
    1. We need to look at our problem to find values for d, r, and t
    2. d, r, and t are the variables in the formula
    1. d is a variable that represents distance
    1. This was given in the problem
    1. d is a variable that represents distance
    2. So d=480
    1. r is a variable that represents rate
    1. This was also given in the problem
    1. r is a variable that represents rate
    2. So r=60
    1. t is a variable that represents time
    1. This is our unknown
    1. t, time, is what we will be solving for
    1. Remember, our formula is d=rt
    1. Remember, our formula is d=rt
    1. 480 is d, the distance
    2. 60 is r, the rate
    3. t, time, is our unknown value
    4. Plugging them into our formula gives us 480=60t
    1. Now that we have an equation, we can solve for our unknown variable, t
    1. Division is the opposite of multiplication
    2. So dividing both sides by 60 will undo the multiplication
    3. 480 divided by 60 gives us 8 on the left
    4. The 60's cancel on the right to leave just t
    1. Remember, t represents the time it took Darius to drive home
    1. Remember, t represents the time it took Darius to drive home