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### Grade 5 - Mathematics12.1 Rates and Speed

 Distance = Rate x Time This formula can be written in different ways: To find rate, divide through on both sides by time: Rate = Distance / Time Rate is distance (given in units such as miles, feet, kilometers, meters, etc.) divided by time (hours, minutes, seconds, etc.). Rate can always be written as a fraction that has distance units in the numerator and time units in the denominator, e.g., 25 miles/1 hour. Time = Distance / Rate When using this equation, it's important to keep the units same. For instance, if the rate the problem gives is in miles per hour (mph), then the time needs to be in hours, and the distance in miles. If the time is given in minutes, then divide by 60 to convert it to hours before you can use the equation to find the distance in miles. Speed is defined as rate of change of distance. Speed is found using the formula: Speed = Distance / Time Speed is defined as rate of change of distance. Speed is found using S = D/T (S = Speed, D = Distance, T = Time) Examples: A factory worker is paid \$96 for working 8 hours. What is his rate? For 1 hour, he is paid \$96/8 = \$12. Answer: He is paid the rate of \$12 per hour. If a car travels 55 mph for 5 hour. Find the distance the car travelled. Speed = D/T D = S x T D = 55 x 5 Answer: 275 m Directions: Solve the following. Also write at least 10 examples of your own.
 Q 1: 1,600 ft.in 8 s. Find the rate.345 ft per s223 ft per s200 ft per s Q 2: A train travels 195 miles in 3 hours. Find the distance traveled in 1 hour.63 mi/h64 mi/h65 mi/h Q 3: What is a rateis ratio between two equal quantitiesis the ratio between two different quantities Q 4: If a car travels 35 mph for 7hour. Find the distance the car traveled.206542245 Q 5: If a car travels 1,125 mi at 125 mph. Find the time.7 hours9 hours8 hours Q 6: Joseph ran his scooter 35 mph for 2 hours. How far did he travel?70 miles60 miles50 miles Q 7: An aeroplane travels 550 mi/h for 4 hours. How far did it travel. (hint D = r x t)2000 miles550 miles2200 miles Q 8: Distance =rate x timerate x raterate + time Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!