rate

  1. math_celebrity

    Kyle can walk ½ mile in ¼ of an hour. What is Kyle’s speed in miles per hour?

    Kyle can walk ½ mile in ¼ of an hour. What is Kyle’s speed in miles per hour? We write this in terms of miles per hour as: 1/2 / 1/4 We want 1 for the denominator to represent an hour, so we multiply top and bottom of the fraction by 4: 4/2 / 4/4 2 / 1 2 miles per hour
  2. math_celebrity

    if you worked for 3 hours and earned a total of $24, determine your hourly pay rate

    if you worked for 3 hours and earned a total of $24, determine your hourly pay rate Hourly Pay = Total Pay / Hours Worked Hourly Pay = $24 /3 Hourly Pay = $8 per hour
  3. math_celebrity

    A boat traveled at a constant speed for 32 hours, covering a total distance of 597 kilometers. To th

    A boat traveled at a constant speed for 32 hours, covering a total distance of 597 kilometers. To the nearest hundredth of a kilometer per hour, how fast was it going? Distance = Rate * Time We're given t = 32, and d = 597. Using our distance, rate, and time calculator, we get: r = 18.656 km/hr
  4. math_celebrity

    A car travels at 40 kilometers per hour. Write an expression for the distance traveled after h hours

    A car travels at 40 kilometers per hour. Write an expression for the distance traveled after h hours. Distance = rate * time, so we have: Distance = 40km/h * h Distance = 40h
  5. math_celebrity

    A car travels 16 m/s and travels 824 m. How long was the car moving?

    A car travels 16 m/s and travels 824 m. How long was the car moving? Distance = Rate * Time, so we have: 824m = 16m/s * t Using our distance calculator, we get: 51.5 seconds
  6. math_celebrity

    At 2:18 Pm, a parachutist is 4900 feet above the ground. At 2:32 pm, the parachutist is 2100 above t

    At 2:18 Pm, a parachutist is 4900 feet above the ground. At 2:32 pm, the parachutist is 2100 above the ground. Find the average rate of change in feet per minute Average Rate of Change = Change in Distance / Change in time Average Rate of Change = (4900 - 2100) / (2:32 - 2:18) Average Rate of...
  7. math_celebrity

    A train traveled at 66km an hour for four hours. Find the distance traveled

    A train traveled at 66km an hour for four hours. Find the distance traveled Distance = Rate * Time Distance = 66km/hr * 4 hours Distance = 264 miles
  8. math_celebrity

    A car travels 71 feet each second.How many feet does it travel in 12 seconds?

    A car travels 71 feet each second.How many feet does it travel in 12 seconds? Distance = Rate * Time We're given a rate of 71 feet per second and a time of 12 seconds. So we plug this in: Distance = 71 feet/second * 12 seconds Distance = 852 feet
  9. math_celebrity

    It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take 10 people to paint

    It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take 10 people to paint 10 walls? Rate * Time = Output Let "Rate" (r) be the rate at which one person works. So we have: 7r * 60 = 5 Multiply through and simplify: 420r = 5 Divide each side by 5 to isolate r: r =...
  10. math_celebrity

    A jet travels 832 km in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the ra

    A jet travels 832 km in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet? Distance = rate * time. We're given D = 832 and t = 5. Using our drt calculator, we solve or rate to get: r = 166.4 The problems asks for a distance D when t = 12 hours...
  11. math_celebrity

    The famous Concorde jet travelled at a speed of 2000km/h for two and a half hours. Do you think it c

    The famous Concorde jet travelled at a speed of 2000km/h for two and a half hours. Do you think it could make it to its destination which is 5500km away on time Calculate the total distance traveled @ 2000km/h for 2.5 hours: d = rt d = 2000 * 2.5 d = 5,000 km The answer is no, it cannot make...
  12. math_celebrity

    a boat traveled 336 km downstream with the current. The trip downstream took 12 hours. write an equa

    a boat traveled 336 km downstream with the current. The trip downstream took 12 hours. write an equation to describe this relationship We know the distance (d) equation in terms of rate (r) and time (t) as: d = rt We're given d = 336km and t = 12 hours, so we have: 336 km = 12t <-- this is...
  13. math_celebrity

    A turtle and rabbit are in a race to see who is the first to reach a point 100 feet away. The turtle

    A turtle and rabbit are in a race to see who is the 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...
  14. math_celebrity

    Janet drove 395 kilometers and the trip took 5 hours. How fast was Janet traveling?

    Janet drove 395 kilometers and the trip took 5 hours. How fast was Janet traveling? Distance = Rate * Time We're given D = 395 and t = 5 We want Rate. We divide each side of the equation by time: Distance / Time = Rate * Time / Time Cancel the Time's on each side and we get: Rate = Distance...
  15. math_celebrity

    Hong is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For ho

    Hong is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride? Distance = Rate * Time The problem asks for time. Using our distance rate time calculator, we get: t = 2.5 hours
  16. math_celebrity

    Guadalupe left the restaurant traveling 12 mph. Then, 3 hours later, Lauren left traveling the same

    Guadalupe left the restaurant traveling 12 mph. Then, 3 hours later, Lauren left traveling the same direction at 24 mph. How long will Lauren travel before catching up with Guadalupe? Distance = Rate x Time Guadulupe will meet Lauren at the following distance: 12t = 24(t - 3) 12t = 24t - 72...
  17. math_celebrity

    A cheetah travels at a rate of 90 feet per second. The distance d traveled by the cheetah is a func

    A cheetah travels at a rate of 90 feet per second. The distance d traveled by the cheetah is a function of seconds traveled t. Write a rule for the function. How far will the cheetah travel in 25 seconds? Distance, or D(t) is expressed as a function of rate and time below: Distance = Rate x...
  18. math_celebrity

    The distance traveled in t hours by a car traveling at 65 miles per hour

    The distance traveled in t hours by a car traveling at 65 miles per hour. Distance = Rate * Time Distance = 65 mph * t hours Distance = 65t
  19. math_celebrity

    A train leaves San Diego at 1:00 PM. A second train leaves the same city in the same direction at 3

    A train leaves San Diego at 1:00 PM. A second train leaves the same city in the same direction at 3:00 PM. The second train travels 30mph faster than the first. If the second train overtakes the first at 6:00 PM, what is the speed of each of the two trains? Distance = Rate x Time Train 1: d...
  20. math_celebrity

    A skydiver falls 144 feet in three seconds. How far does the skydiver fall per second?

    A skydiver falls 144 feet in three seconds. How far does the skydiver fall per second? 144 feet/3 seconds Divide top and bottom by 3 to get feet per second 48 feet per second
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