A group of hikers from Tulsa hiked down into the Grand Canyon in 2.5 hours 30 minutes. Coming back up on a trail that was 3.5 miles shorter, they hiked 2 mph slower and it took them 1 hour longer. What was their rate going down?

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

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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: The bakers at Healthy Bakery can make 320 bagels in 10 hours. How many bagels can they bake in 22…

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

A: A constant rate signifies that the work done during each moment of is same. Equations can be formed…

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

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Q: A trucker calculates that if he increased his average speed by 60 km/h, he could travel his 170-km…

A: Consider that if a trucker increased his average speed by 60 km/h , he could travel his 170-km route…

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: It took a crew 2 h 40 min to row 6 km upstream and back again. If the rate of flow of the stream was…

A:

Q: How long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if…

A: Given: A bus traveling at 60 miles per hour to overtake a car traveling at 40 mph

Q: Three campers left their campsite by canoe and paddled downstream at anaverage rate of 10 mph. They…

A:

Q: A bicycle is traveling at 12 miles per hour. How many feet will it cover in 55 seconds?

A: The speed of a bicycle is v = 12 mileshour = 123600 milessecond Time, t = 55 seconds To evaluate:…

Q: A goliath grouper at the local aquarium ate 112 fish over the course of 8 hours. At this rate how…

A: our objective is to find  how many fish can he eat in 3.5 hours .

Q: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

A: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

Q: Mrs. Jackson traveled to a city 390 miles from his home to attend a meeting. Due to car trouble his…

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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: 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: A commercial airplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. Half…

A: Given:

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

A: Given: A laptop computer consumes about 20 watts of electricity per hour. It is operating for 5…

Q: A printer prints 75 pages in 5 minutes. At the samerate, how many pages does the printer print in 7…

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Q: How many minutes did it take the faster runner to finish the 8 mile run?

A: Let the distance be 8 mile, Pepe averaged a speed of 1/2 mile in 4.5 minutes where Paula averaged…

Q: O Joey Chestnut, the world's fastest hotdog eater, ate 75 hotdogs in 10 minutes. At this rate, how…

A: Given: Joey Chestnut, the world's fastest hotdog eater ate 75 hotdogs in 10 minutes. At this rate,…

Q: A small motorboat travels 16mph in still water. It takes 6 hours longer to travel 52 miles going…

A: To find the rate of current.

Q: Devontre rode his bike uphill 5 miles and then back downhill. The rate at which Devontre traveled…

A: Let his uphill rate is = x mph So his downhill rate is = x+20  Distance= 5 miles in each case.

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

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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: It took a crew 1 h 12 min to row 9 km upstream and back again. If the rate of flow of the stream was…

A:

Q: a student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

A: A student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

Q: A grasshopper can jump 40 times its length. If jumping ability in humans​ (height) were…

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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: The Ellis family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?

A: Given that the Ellis family uses 12 gallon jug of milk every 3  days . we use quotient rule to…

Q: Big Jim, engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the…

A: Let x be the distance travelled before the cylinder blew and s be the corresponding distance. Then…

Q: A giant tortoise can travel 0.12 miles in 1 hour. At this rate, how long would it take the tortaise…

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Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

Q: If rain is falling at a rate of 2.47 inches per hour, how much rain would you expect after 3.5…

A: Given: Rate of falling of rain= 2.47 inches per hour and we have to find out the rain after 3.5…

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: 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: 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 The…

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

A: Given:

Q: If rain is falling at a rate of 2.17 inches per hour, how much rain would you expect after 3.25…

A: Given, that  rain is falling at a rate of 2.17 inches per hour Means in 1 hour 2.17 inches rain…

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…

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Q: a football player runs 80 yards per 25 seconds.If he keeps the same rate of speed,how many yards…

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

A:

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: It takes one week for a crew to pave 3/5 kilometer of road.  At that rate how long will it take to…

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Q: At what rate is a car traveling if it goes 157.5 miles in 2.5 hours?

A: Given ,Distance travelled by car, d=157.5 milesTime taken, t=2.5 hours

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: An ice cream factory makes 100 quarts of ice cream in 10 hours. How many quarts could be made in 48…

A: Given that An ice cream factory makes 100 quarts of ice cream in 10 hours To find Number of quarts…

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: Leila made $276 for 12 hours of work at the same rate how many hours would she have to work to make…

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.