You start your trip going 60mph, but you end up getting a flat tire. You change the flat, and now you’re driving on the old spare tire, so you decide to drive the rest of the way a little more slowly, at 45mph. If the total driving to the campground took 3 hours and it was 165 miles away, how long did you travel at each speed?

Q: Kayla and Whitney both leave the bookstore at the same time, but in opposite directions. If Kayla…

A: Given problem:- Kayla and Whitney both leave the bookstore at the same time, but in opposite…

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

A:

Q: Alice needs one hour to do a certain job. Betty, her older sister, can do the same job in 30…

A: Alice needs one hour(60 minutes) to do a certain job. So Alice does 1/60 of work in one minute .…

Q: A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he…

A:

Q: A plumber who is just starting out offers low rates to attract new customers. He charges $35 to…

A: Charge to visit a client's home = $35 Charge per hour = $20 To find the time for which plumber works…

Q: A cyclist plans to cover the distance of 240 km. He calculated that if he is going to ride 8.4 km/h…

A:

Q: A field provides grazing for 18 sheep for 8 days. How many days grazing would it provide for 24…

A:

Q: Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the same…

A: Carlos can oil the lanes =5 hourscarlos can oil in 1 hour=15Jenny can oil the lanes =9 hoursJenny…

Q: It takes an HP LaserJet M451dw laser printer 16 minutes longer to complete an 840-page print job by…

A: It takes an HP LaserJet M451dw laser printer 16 minutes longer to complete an 840-page print job by…

Q: At 45 miles per hour, a trip takes 4 hours. How long does the trip take at 60 miles per hour.

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Q: A motorcycle breaks down and the rider has to walk the rest of the way towork. The motorcycle was…

A:

Q: At a dairy plant, a milk tank can be filled in 8 hours (using the in-valve). Using the out-valve,…

A:

Q: Can I reach Pittsburgh, which is 612 miles away, if I drive for 7 and a half hours at a constant…

A: # as per the guidelines we are not entitled to give handwritten solutions Time of drive is 712hours…

Q: A man having ten hours at his disposal made an excursion, riding out at therate of 10 miles an hour…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

Q: At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40…

A: Speed of Lucy = 40 mph Speed of Lucy's Friend = 50 mph

Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

Q: Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to…

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Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

Q: Phineas can build a rocket in 7 hours while Ferb can do the same work in 14 hrs. If they work…

A: Given, Phineas can build a rocket in 7 hours, Ferb can do the same work in 14 hrs.  They together…

Q: The Ramirez family and the Wright family each used their sprinklers last summer. The water output…

A: Let, W is the time Wright family used sprinkler. R is the time Ramirez family used sprinkler.…

Q: A trip to Washington from Boston will take 5 3/4 hours. If you have traveled 1/3 of the way, how…

A:

Q: Bill and Brandon are downhill mountain-biking. Bill starts 500 feet ahead of Brandon and bikes at a…

A: Suppose, it will take t seconds for Brandon to catch up Bill So, at a rate of 42 feet/sec , Brandon…

Q: Conner wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a…

A: Please refer the attached image for complete solution.

Q: Two trains leave the same city at the same time, one going east and theother going west. If one…

A: It is given that, two trains leave the same city at the same time. And one of them is going east and…

Q: Roger can run one mile in 6 minutes. Jeff can run one mile in 4 minutes. If Jeff gives Roger a 1…

A:

Q: During the first part of a trip, a canoeist covered 70 km at a certain speed. He then traveled 30 km…

A: According to the problem, we have

Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: It takes Frank 2 hours longer than Jane to carpet a certain type of room. Together they can carpet…

A: Let Jane takes x hours to carpet the room alone . Then Frank takes (x+2) hours to carpet the room.

Q: A car travels 50 mph and passes a truck traveling 40 mph. How long will it take the car to be more…

A: Speed of car 50 mph  Speed of truck 40 mph To find time in which car will be 16 mile ahead of truck

Q: A cattle train traveled to the fueling station and back. It took four hours less time to get there…

A: t1= time taken by train to reach the fueling station t2= time taken by train to come back to initial…

Q: Josephine can correct her students test papers in five hours but if her teachers assistant helps it…

A:

Q: If you plan to drive between two cities that are 250 miles apart, and you expect to go about 55…

A: Given that, The distance between two cities =250 miles. The distance travelled in 1 hour =55 miles.…

Q: A car travels for 2 hours at an average speed of 55 miles per hour, then travels for 30 minutes at…

A: The formula for average speed is given by, Average speed= Total distanceTotal time That implies,…

Q: Jake drives a tractor from one town to another, a distance of 180 km. He drives 9 km/h faster on the…

A: Let the speed for onward journey be x km/hrDistance travelled = 180 km

Q: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at…

A:

Q: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

A:

Q: passenger train

A:

Q: A boy has to cover 4km to catch a bus. He travels part of the distance at 3km/h and runs the rest at…

A: Given that, Distance covered to catch a bus = 4 km Speed of walking = 3 km/hr Speed of running = 5…

Q: The Wong family and the Chen family each used their sprinklers last summer. The water output rate…

A:

Q: Salvador started biking to the mall traveling 15 mph, after some time the bike got a flat so…

A:

Q: At a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10 m/min.…

A: Given that at a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10…

Q: Emilio went on a bike ride of 36 miles. He realized that if he had gone 4 mph faster, he would have…

A: Solution: The objective is to find the actual speed

Q: Working alone, Arjun can tar a roof in 8 hours. Mark can tar the same roof in 15 hours. If they work…

A:

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

A: Given data are: Time at which First train leaves San Diego = 3:00 PM Time at which Second train…

Q: how long will it take to complete the sweeping?

A: Let the amount of time taken by the truck to sweep the entire town be t hours. The total distance…

Q: A car travel 325 miles on 20 gallons of gas at this rate, how far could the car travel on 12 gallons…

A:

Q: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later.…

A: Given- A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds…

Q: Dave takes 15 minutes longer than Kate does to make the 60-mile drive between two cities. Kate…

A:

Q: Ricky left his house and rode his bike into town at 10 mph. Along the way he got a flat so he had to…

A: Let consider that speed=sDistance=dand time =t

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.