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  1. math_celebrity

    Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 mil

    Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 miles per hour. How long does it take Joe to catch Jason? A. 3 hours B. 4 hours C. 6 hours D. 8 hours Distance formula is d = rt Jason's formula (Add 9 since he's ahead 9 miles): d = 5.5t + 9...
  2. math_celebrity

    George and William both ran a one mile race. William won the race with a time of 4 minutes and 30 se

    George and William both ran a one mile race. William won the race with a time of 4 minutes and 30 seconds. If George was 480 feet behind William when the race finished, how long did it take George to run the entire mile? (George continued to run at the same pace.) When the race was done, George...
  3. math_celebrity

    Alex rode his bike to school at a speed of 12 mph. He then walked home at a speed of 5 mph. What was

    Alex rode his bike to school at a speed of 12 mph. He then walked home at a speed of 5 mph. What was Alex's average speed for his trip to school and back? Say the distance was 1 mile from school to home D = rt To school 1 = 12t t = 1/12 From school: 1 = 5t t = 1/5 1/2(1/12 + 1/5) 1/24 + 1/10...
  4. math_celebrity

    Adam drove the 10 miles to school at a speed of 60 mph. On his way home, due to traffic, his speed w

    Adam drove the 10 miles to school at a speed of 60 mph. On his way home, due to traffic, his speed was 30 mph. What was his average speed for the round trip to school and back? D = rt To school: 60 miles in 60 minutes = 10 miles in 10 minutes To home: 30 miles in 60 minutes = 10 miles in 20...
  5. math_celebrity

    It takes Spot 2 hours to paint a fence and Steven 4 hours to paint the same fence. If they work toge

    It takes Spot 2 hours to paint a fence and Steven 4 hours to paint the same fence. If they work together, how long will it take them to paint the fence? Spot paints 1/2 of a fence in an hour Steven paints 1/4 of a fence in an hour Together, in an hour, they paint 1/2 + 1/4 of a fence in an hour...
  6. math_celebrity

    A broken clock that loses 12 minutes every hour is set at 12:00 noon at the same time a normal clock

    A broken clock that loses 12 minutes every hour is set at 12:00 noon at the same time a normal clock has its time set to 12:00 noon. When the broken clock reaches 12:00 midnight, what will the normal clock read? Set up a proportion normal clock to broken clock: 60/48 = n/12 Using our...
  7. math_celebrity

    If there are 9000 seconds in 2.5 hours, how many hours are there in 13,500 seconds?

    If there are 9000 seconds in 2.5 hours, how many hours are there in 13,500 seconds? Setup a proportion of hours to seconds where h is the number of hours in 13,500 seconds 2.5/9000 = h/13500 Using our proportion calculator we get: h = 3.75 hours
  8. math_celebrity

    Stuart traveled n miles at a speed of 72 miles per hour. How many seconds did it take Stuart to trav

    Stuart traveled n miles at a speed of 72 miles per hour. How many seconds did it take Stuart to travel the n miles? Distance = Rate * Time Time = Distance/Rate Time = n/72 hours 3600 seconds per hour so we have: 3600n/72 50n
  9. math_celebrity

    Joe talked for n seconds. How many hours did Joe talk?

    Joe talked for n seconds. How many hours did Joe talk? 1 hour = 60 minutes * 6o seconds per minute = 3600 seconds So 1 second = 1/3600 hours Joe spoke n/3600 hours
  10. math_celebrity

    Joseph can paint n cars in t hours. How long does it take Joseph to paint one car?

    Joseph can paint n cars in t hours. How long does it take Joseph to paint one car? t hours / n cars = t/n hours
  11. math_celebrity

    A spacecraft with a volume of 800 cubic feet is leaking air at a rate of .4 cubic feet every n minut

    A spacecraft with a volume of 800 cubic feet is leaking air at a rate of .4 cubic feet every n minutes. How many minutes until the spacecraft has no air? 800 cubic feet / .4 cubic feet every n minutes = 2000 (n minute parts) Total time = 2000n
  12. math_celebrity

    A 50-gallon water heater leaks .125 gallons of water every 14 minutes. How long until it is complete

    A 50-gallon water heater leaks .125 gallons of water every 14 minutes. How long until it is completely empty? 50 gallons / .125 gallons leaked = 400 (14 min increments) 400 (14 min increments) * 14 minutes = 5600 minutes 5600 minutes / 60 minutes per hour = 93 hours and 20 minutes
  13. math_celebrity

    A truck driver took 7 hours and 45 minutes to travel 426.25 miles. What was the average speed of the

    A truck driver took 7 hours and 45 minutes to travel 426.25 miles. What was the average speed of the truck driver? 45/60 = 0.75 of an hour 7 hours and 45 minutes = 7.75 hours 426.25 miles / 7.75 hours miles = 55 miles per hour
  14. math_celebrity

    You buy a book that is 540 pages long. You can read about 30 pages per hour. How long does it take y

    You buy a book that is 540 pages long. You can read about 30 pages per hour. How long does it take you to read the book? 540 pages / 30 pages per hour = 18 hours
  15. math_celebrity

    A wheel take 1/12 minutes to make a complete turn. How many turns does it make in a half a minute?

    A wheel take 1/12 minutes to make a complete turn. How many turns does it make in a half a minute? 1 minute = 60 seconds 1/12 minutes = 60/12 = 5 seconds Half a minute = 60/2 = 30 seconds 1 turn/5 seconds * 6/6 = 6 turns per 30 seconds
  16. math_celebrity

    A tortoise is walking in the desert. It walks at a speed of 5 meters per minute for 12.5 meters. For

    A tortoise is walking in the desert. It walks at a speed of 5 meters per minute for 12.5 meters. For how many minutes does it walk? Distance formula (d) for a rate (r) and time (t) is: d = rt We're given d = 12.5 and r = 5 12.5 = 5t 5t = 12.5 Solve for t. Divide each side of the equation by...
  17. math_celebrity

    if the blackout begins at 5:20 pm and ended at 7:05 pm how long did the black out last?

    if the blackout begins at 5:20 pm and ended at 7:05 pm how long did the black out last? add 2 hours, and we get: 7:20 Subtract 15 minutes, and we get: 7:05 2 hours - 15 minutes = 1 hour and 45 minutes
  18. math_celebrity

    A chest of treasure was hidden in the year 64 BC and found in 284 AD. For how long was the chest hid

    A chest of treasure was hidden in the year 64 BC and found in 284 AD. For how long was the chest hidden BC stands for Before Christ. Year 0 is when Christ was born. AD stands for After Death On a number line, the point of Christ's birth is 0. So BC is really negative AD is positive So we...
  19. math_celebrity

    1 hour and 54 minutes after 7:30

    1 hour and 54 minutes after 7:30 Let's take the easy and lazy way to solve this. 1 hour and 54 minutes is 6 minutes short of 2 hours So we add 2 hours to 7:30: 7:30 + 2 hours = 9:30 Then we subtract off the 6 minutes: 9:30 - 6 minutes = 9:24
  20. math_celebrity

    Jim and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier,

    Jim and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 4:15 P.M. They plan to spend 1 hour and 25 minutes at the Willis Tower, 1 hour and 40 minutes at Navy Pier, and 1 hour and 40...
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