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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...

Martha can read a 300 page book in 10 hours. How many pages will she read in n minutes? 60 minutes in an hour, so Martha reads 300 pages in 10 * 60 = 600 minutes 300 pages in 600 minutes is 1/2 page per minute For n minutes, she reads n/2 pages

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...

In the year 1999, Hicham El Guerrouj of Morocco set a new world record when he ran a mile in 3 minutes 43.13 seconds. What was his speed in miles per hour? (Round your answer to the nearest hundredth.) 3 minutes = 60 seconds per minute = 180 seconds 180 seconds + 43.13 seconds = 223.13 seconds...

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

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

If a car is traveling at a speed of 60 miles per hour, how many hours will it take for the car to travel n miles? n miles / 60 miles per hour = n/60 hours

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

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...

Matthew works 45 hours at $22.10 per hour and 3 hours overtime at double time. Calculate his total earnings per week. If Matthew gets 3 hours overtime, then his regular time is 45 - 3 = 42 Calculate regular hours earnings: Regular hours earnings = Hourly Rate * Regular hours worked Regular...

if a city grows by 12% per month what is the yearly growth rate We know that there are 12 months in a year. 12% = 0.12 Annual Growth Rate = (1 + Monthly Growth Rate)^12 - 1 Annual Growth Rate = (1 + 0.12)^12 - 1 Annual Growth Rate = (1.12)^12 - 1 Annual Growth Rate = 3.89597599255 - 1 Annual...

you save $35 a week for a year. How much do you have at the end of the year? We know that 1 year = 52 weeks $35 per week * 52 weeks = $1,820 saved for the year

Johnny Rocket can run 300 meters in 90 seconds. If his speed remains constant, how far could he run in 500 seconds? Round to one decimal place. Set up the distance equation: Distance = Rate * Time 300 = 90r Solving this equation for r, we type it in our search engine and we get: r = 3.333 For...

A driver drove at a speed of 58 mph for t hours. How far did the driver go? Since distance = rate * time, we have distance D of: D = 58t

A repair will require 3 hours at $40 per hour. How much will the total/labor cost be for this job? Total cost = Hourly Labor Rate * hours Total cost = $40 * 3 Totaal cost = $120

A driver drove at a speed of 56 mph for z hours. How far did the driver go? Distance = Rate * time So we have: Distance = 56 mph * z Distance = 56z

A car is traveling 60 km per hour. How many hours will it take for the car to reach a point that is 180 km away? Rate * Time = Distance so we have t for time as: 60t = 180 To solve this equation for t, we type it in the search engine and we get: t = 3

Suppose Rocky Mountain have 72 centimeters of snow. Warmer weather is melting at the rate of 5.8 centimeters a day. If snow continues to melt at this rate, after seven days of warm weather, how much snow will be left? Snow remaining = Starting snow - melt rate * days Snow remaining = 72 -...

On a trip, a family drove 270 kilometers in 3 hours. how many kilometers were traveled in one hour. Express this as a rate per hour. 270 kilometers per 3 hours 270/3 Divide top and bottom by 3 to get km/hr 90 kilometers per hour