Regents Exam Questions A.M.1.Speed 1 Name: ________________________ www.jmap.org A.M.1: Speed 1: Calculate rates using appropriate units (e.g., rate of a space ship versus the rate of a snail) 5 It takes Tammy 45 minutes to ride her bike 5 miles. At this rate, how long will it take her to ride 8 miles? 1) 0.89 hour 2) 1.125 hours 3) 48 minutes 4) 72 minutes 1 What is the speed, in meters per second, of a paper airplane that flies 24 meters in 6 seconds? 1) 144 2) 30 3) 18 4) 4 2 In a baseball game, the ball traveled 350.7 feet in 4.2 seconds. What was the average speed of the ball, in feet per second? 1) 83.5 2) 177.5 3) 354.9 4) 1,472.9 6 It takes a snail 500 hours to travel 15 miles. At this rate, how many hours will it take the snail to travel 6 miles? 1) 0.18 2) 5.56 3) 150 4) 200 3 Steve ran a distance of 150 meters in 1 1 minutes. 2 What is his speed in meters per hour? 1) 6 2) 60 3) 100 4) 6,000 7 Jonathan drove to the airport to pick up his friend. A rainstorm forced him to drive at an average speed of 45 mph, reaching the airport in 3 hours. He drove back home at an average speed of 55 mph. How long, to the nearest tenth of an hour, did the trip home take him? 1) 2.0 hours 2) 2.5 hours 3) 2.8 hours 4) 3.7 hours 4 A hiker walked 12.8 miles from 9:00 a.m. to noon. He walked an additional 17.2 miles from 1:00 p.m. to 6:00 p.m. What is his average rate for the entire walk, in miles per hour? 1) 3.75 2) 3.86 3) 4.27 4) 7.71 8 In a game of ice hockey, the hockey puck took 0.8 second to travel 89 feet to the goal line. Determine the average speed of the puck in feet per second. 1 Regents Exam Questions A.M.1.Speed 1 Name: ________________________ www.jmap.org 9 The distance from Earth to Mars is 136,000,000 miles. A spaceship travels at 31,000 miles per hour. Determine, to the nearest day, how long it will take the spaceship to reach Mars. 10 The chart below compares two runners. Based on the information in this chart, state which runner has the faster rate. Justify your answer. 11 A turtle and a rabbit are in a race to see who is first to reach a point 100 feet away. The turtle travels at a constant speed of 20 feet per minute for the entire 100 feet. The rabbit travels at a constant speed of 40 feet per minute for the first 50 feet, stops for 3 minutes, and then continues at a constant speed of 40 feet per minute for the last 50 feet. Determine which animal won the race and by how much time. 12 Hannah took a trip to visit her cousin. She drove 120 miles to reach her cousin’s house and the same distance back home. It took her 1.2 hours to get halfway to her cousin’s house. What was her average speed, in miles per hour, for the first 1.2 hours of the trip? Hannah’s average speed for the remainder of the trip to her cousin’s house was 40 miles per hour. How long, in hours, did it take her to drive the remaining distance? Traveling home along the same route, Hannah drove at an average rate of 55 miles per hour. After 2 hours her car broke down. How many miles was she from home? 2 ID: A A.M.1: Speed 1: Calculate rates using appropriate units (e.g., rate of a space ship versus the rate of a snail) Answer Section 1 ANS: 4 24 distance = =4 6 time REF: 010902ia 2 ANS: 1 350.7 distance = = 83.5 4.2 time REF: 061201ia 3 ANS: 4 d 150 m 60 min m s= = ⋅ = 6, 000 t 1.5 min 1 hr hr REF: 061025ia 4 ANS: 1 12.8 + 17.2 = 3.75 3+5 REF: 5 ANS: 5 = 45 061117ia 4 8 x 5x = 360 x = 72 REF: 060901ia 6 ANS: 4 15 6 = 500 x 15x = 3000 x = 200 REF: 061403ia 7 ANS: 2 d = st = 45 × 3 = 135 miles. t = d 135 = ≈ 2.5 hours s 55 REF: 011419ia 1 ID: A 8 ANS: 111.25. distance = 89 = 111.25 time 0.8 REF: 080831ia 9 ANS: 136, 000, 000 4387.1 d t= = ≈ 4387.1 hours. ≈ 183 24 s 31, 000 REF: 061333ia 10 ANS: Greg’s rate of 5.5 is faster than Dave’s rate of 5.3. distance = 11 = 5.5. 16 = 5. 3 2 time 3 REF: 080936ia 11 ANS: The turtle won by .5 minutes. Turtle: d = 100 = 5. Rabbit: d = 100 = 2.5 + 3 = 5.5 20 40 s s REF: 011236ia 12 ANS: 50, 1.5, 10. distance = 60 = 50. distance = 60 = 1.5. speed × time = 55 × 2 = 110. 120 − 110 = 10 1.2 40 time time REF: fall0734ia 2

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