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Calculating Rates

Calculating Rates. Speeds. Speeds are often described as rates. Ex: MPH = miles per hour MPS = meters per second In all the following slides we will use d for distance, t for time and r for rate. How far?. If you traveled at 30 MPH for 3 hours, how far would you go?

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Calculating Rates

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  1. Calculating Rates

  2. Speeds • Speeds are often described as rates. • Ex: MPH = miles per hour • MPS = meters per second • In all the following slides we will use d for distance, t for time and r for rate.

  3. How far? • If you traveled at 30 MPH for 3 hours, how far would you go? • If you traveled for 10 hours at 60 MPH, how far would you go? • What operation did you use to figure the distance?

  4. Formula (or an equation) If 90 miles = 30MPH * 3 hours And 600 miles = 10 hours * 60 MPH Then Distance = rate * time or D = rt

  5. Finding Rate • If you go 60 miles in one hour, what is your rate? • If you go 60 miles in 2 hours, what is your rate?

  6. Formula for Rate If 60 MPH = 60 miles/ 1 hour and 30 MPH = 60 miles/ 2 hours What is a formula for figuring rate? r = d/t rate = distance divided by time

  7. Formula for time • How long will it take you to go 90 miles at 30 MPH? • How long will it take to go 600 mile at 60 MPH? • Which operation did you use?

  8. Formula for Time 3 hrs = 90 miles divided by 30 MPH 10 hrs = 600 miles divided by 60 MPH Time = Distance / rate t = d/r

  9. Which is the faster rate? 35 miles in 15 minutes Or 76 miles in 30 minutes r=d/t r=d/t r=35/15 r=2.3 mph r=d/t r=76/30 r=2.5 mph

  10. Which is farther? d = rt 17 mph for 17 minutes Or 11 mph for 22 minutes d = rt d = 17(17) d = 289 miles Or d = rt d = 11 * 22 d = 242 miles

  11. Which takes longest? t=d/r Go 40 miles at 22MPH Or Go 60 miles at 28 mph t =d/r t =40/22 t =1.8 hours t =d/r t =60/28 t = 2.1 hours

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