distance

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...

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Janet would like to put up a straight 100 foot fence. If she places a post every 10 feet, how many posts will she need? 0 feet 10 feet 20 feet 30 feet 40 feet 50 feet 60 feet 70 feet 80 feet 90 feet 100 feet 11 posts

Sara bought a gas-electric hybrid car. She traveled 481.25 miles and used 9.625 gallons of gas. How many miles did the hybrid car travel for each gallon of gas? 481.25/9.625 = 50 miles per gallon

If Distance equals Speed times Time (D = S x T), then what does time equal in terms of speed and distance? Divide each side by S to isolate T: D/S = S x T/S Cancel the S's on the right side: T = D/S

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...

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...

The world record for the mile in the year 1865 was held by Richard Webster of England when he completed a mile in 4 minutes and 36.5 seconds. The world record in 1999 was set by Hicham El Guerrouj when he ran a mile in 3 minutes and 43.13 seconds. If both men ran the mile together, how many...

A goal for many elite runners is to complete a mile in 4 minutes. At what speed (in miles per hour) is a runner traveling when he completes a mile in 4 minutes? 4 minutes/60 minutes per hour = 1 mile / n miles 4/60 = 1/15, so n = 15 miles per hour

A family is taking a cross-country trip of 3000 miles by car. They are bringing two spare tires with them and want all six tires to go an equal distance. How many miles will each tire go? 3000 * 4 tires = 12,000 miles traveled 12,000 / 6 tires = 2,000 miles

A student was trying to determine a formula for changing speeds that are written in feet per second into miles per hour. If a sprinter runs at a speed of n feet per second, what is her speed in miles per hour? 3600 seconds per hour = 3600n feet per hour 5280 feet per mile so we have: 3600n...

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

Luke drove for n hours at 55 miles per hour. Luke's mother drove for n hours at a speed of 60 miles per hour. How much farther than Luke did his mother drive? Distance = Rate * Time Luke drove: 55n Mom drove 60n Distance difference = 60n - 55n = 5n

If a snail crawled n millimeters, how many kilometers did it travel? 1 millimeter = 1/1000 of a meter 1 meter = 1/1000 of a kilometer 1/1000 * 1/1000 = 0.000001 So our kilometers value is 0.000001n

William is traveling at a speed of 50 miles per hour. How far will William travel in n hours? 50 miles per hour * n hour = 50n miles

If Enika walked n yards, how many feet did she walk? 1 yard = 3 feet, so we have: n yards = 3n feet

Sound takes 5 seconds to go one mile. Clark is standing near a rock wall and when he shouts, it takes 20 seconds for the echo to reach his ears. How far away is the rock wall? The sound makes a round trip from Clark to the wall back to Clark. 20 seconds / 5 seconds per mile = 4 miles 4 miles...

Maria leaves her house and runs west for 6 miles. She then turns North and runs 5 miles. Maria then travels east for 7 miles and then south for 5 miles. How far is Maria from her house now? Maria traveled the same distance north and south of 5 miles. These cancel each other out. Her 7 mile...

A meter is defined as the distance light travels in 1/299,792,458 of a second. How many meters does light travel in 1/8 of a second? 1/8 second / 1/299,792,458 299,792,458/8 = 37,474,057.25 meters

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