Sarah leaves Seattle for New York in her car, averaging 80mph across open country. One hour later a plane leaves Seattle for New York following the same route and flying 400mph. How long before the plane overtakes the car?

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

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Q: Two buses leave Detroit at the same time traveling in opposite directions. One bus travels at 59mph…

A:

Q: As part of her fitness program, Karen has taken up jogging. If she jogs 1 mi the first day and…

A: Formula:   Consider the arithmetic progression is a, a+d, a+2d,……….a+(n-1)d. Formula for nth term n…

Q: Irina ran 1/2 mile in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?

A:

Q: A man traveled at 55mph for the first half of his trip and 70mph on the return trip. If his total…

A: We have to use distance time relation.

Q: Two buses leave Phoenix at the same time traveling in opposite directions. One bus travels at 57mph…

A:

Q: If a bear runs at a top speed of 20mph for 3 minutes and a human runs at a top speed of 10 mph for 3…

A: If we were graphing, then the y-axis would be for distance and the x-axis would be for time in…

Q: Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles?

A: speed is calculated by the formula,

Q: On a 130 mi trip, a car traveled at an average speed of 55 mph and thenreduced its speed to 40 mph…

A: Let ‘t’ be the number of hours for 55 mph and (2.5 – t) hours for 40 mph.

Q: A pilot flew a jet from Montreal to Los Angeles, a distance of 2500 mi. On the return trip, the…

A: Let the speed from Montreal to Los Angeles is x miles/hr. Return speed is 20% faster than x.

Q: The space probe Cassini has engines which can al low it to travel at 72,000 km/hr. However,…

A:

Q: A machine that drills holes for wells drilled to a depth of -72 feet in one day (24 hours). At this…

A: Given Machine drills holes for wells to a depth of -72feet in 24 hours we have to find how many…

Q: Vivian went to the coffee shop traveling 12 mph and returned home traveling 8 mph. If the total trip…

A: This question can be solved by the concept of speed, time and distance.

Q: Khloe drove 204 miles in 4 hours if she continued at the same rate how long would it take to travel…

A: Given :- Khloe drove 204 miles in 4 hours  To find time taken to travel 765 miles.

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

A:

Q: A 170­pound person uses 5.3 calories per minute when bicycling at a speed of 5.5 mph. How long must…

A: Given, A 170 ­pound person uses 5.3 calories per minute when bicycling at a speed of 5.5 mph. To…

Q: A bear runs at 20mph for 3 min.s and human runs at 10mph with a 1/3 mile headstart.  When will the…

A: Given, Speed of bear = 20 mph, Speed of human = 10 mph, Time of run by bear = 3 minutes = 3/60 h =…

Q: A family was taking a trip of 225 miles. On the way home, they were able to drive 5mph faster and…

A:

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: Find how long it takes a person to drive 201 miles on the highway if she merged into a highway at 11…

A: SOLUTION-

Q: Nina ran 12 laps in of an hour. At this rate, how many laps could she run in an hour?

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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: Brett leaves Seattle at 60 miles per hour. 19 minutes later, Saba leaves Seattle traveling the same…

A:

Q: A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles…

A: let x=speed of current15-x=speed of boat upstream15+x=speed of boat downstreamtravel…

Q: Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long…

A: Sam raked 3 bags of leaves in 16 minutes

Q: Spencer went on a bike ride of 120 miles. He realized that if he had gone 25 mph faster, he would…

A:

Q: minutes

A: Speed of Jill jog = 2miles/15 minutes

Q: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a…

A: Given:Let x be a running speedLet x+8  be a cycling speedTravel time=distancespeed

Q: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min…

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him.…

Q: A particular model cruise ship burns 0.2L of fuel for every 50000kg of weight for every kilometer…

A: We have to find fuel required.

Q: Mark Martin can row upstream at 5 mph and downstream at 11 mph. If Mark starts rowing upstream until…

A: Write the separate equation for each part of the trip: Upstream: d1= r1*t1 (1) d1= 5*t1 mi…

Q: Isabella flew 840 miles in 120 minutes.How many miles per minute did she fly?

A: GivenIsabella flew in 120 minutes=840 miles

Q: while covering a distance 24 km , a man noticed that after walking for 1 hour and 40 minutes the…

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Q: A plane flew 4 hours at 380 miles per hour. What distance was covered?

A: The distance covered is given by the product of speed and time distance = speed * time In the above…

Q: A student needs to run 3.2 km to get to school. If the student can run 5.5 mi/hr, how many hours…

A: Given that, a student needs to run 3.2 km to get to school. The speed of the student is 5.5 mi/hr.…

Q: A camel can drink 15 gallons of water in 10 minutes. At this​ rate, how much water can the camel…

A: Given:

Q: Angelina was driving home from college at 75 mph. UT is about 375 miles from Lubbock where she…

A: Distance to be travelled=375 miles Average speed=75miles/hour Since,  time=distancespeed

Q: An Amtrak train traveling from Chicago to Memphis goes 540 miles in 6 hours. How fast is the train…

A: An Amtrak train travelling from Chicago to Memphis distance travelled d = 540 miles time is taken t…

Q: A giant tortoise can travel 0.180.18 miles in 11 hour. At this​ rate, how long would it take the…

A:

Q: on a bike ride of 72 miles. He realized that if he ha uld have arrived 8 hours sooner. How fast did…

A:

Q: A laptop computer consumes about 20 watts of electricity per hour when operating. At $.10 per…

A:

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: An airplane flies with a constant speed of 3а. 840 km/h. How long will it take to travel a distance…

A: In this question, concept of speed is used. Speed The rate at which an object travels a certain…

Q: If a lion can run at 30mph for 48 meters, how long can it maintain its top speed?

A: Given:A lion can run at 30mph for 48 meters.The formula relating the speed, distance and time is…

Q: Beaumont, Texas, is about 150 miles from Toledo Bend. If Leo Miller leaves Beaumont at 4 a.m. and…

A: Consider that Beaumont, Texas is at a distance of 150 miles from Toledo Bend. Leo Miller leaves…

Q: A water hose had filled up of a pool after this rate, how many hours would it take to fill the pool?…

A: Given that  1/7 pool is to be filled in 1/10 hour To find total hours to fill the pool

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 giant tortolse can travel 0.14 miles in 1 hour. At this rate, how long would it take the tortoise…

A: We can find it as below

Q: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

A: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

Q: A Pontiac Grand Am enters the turnpike traveling at 50mph. One-half hour later, a Ford Mustang…

A:

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.