The president of a company traveled 1900 mi by jet and 400 mi on a prop plane. The rate of the jet was three times the rate of the prop plane. The entire trip took 5 h find the rate of the jet.

Q: It took six hours for Danny to clean the attic while Piolo took twelve hours to do the same job. If…

A:

Q: Nicholas paddles his canoe downstream from the Lodge to Big Bend in 2 hours and then back upstream…

A: Let x be the speed in still water and y be the speed of the current. Tabulate the given information

Q: Conner is 156 miles away from Brayden. They are traveling towards each other. If Brayden travels 9…

A:

Q: A hill is at 546 feet above sea level, and a crater next to it is at 208 feet below sea level. What…

A: Given data: A hill is at 546 feet above sea level A crater next to it is at 208 feet below sea level…

Q: The president of a company traveled 1700 mi by jet and 300 mi on a prop plane. The rate of the jet…

A: Here, the rate of the jet and prop plane is the speed. Therefore, the speed of jet = 3 times the…

Q: With the wind, a plane flew 425 miles in the same time that it took to fly 375 miles against the…

A: Let x denote the speed of the plane. The speed of the plane with the wind is x +10 and the speed of…

Q: The president of a company traveled 2000 mi by jet and 400 mi on a prop plane. The rate of the jet…

A: Consider the given information

Q: A bus traveled on a level road for two hours at an average speed 20 mph faster than it traveled on a…

A: Given Data: Total distance= 376 miles Total Time =2+5=7 hours

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: The president of a company traveled 2000 mi by jet and 400 mi on a prop plane. The rate of the jet…

A: Given thatThe company president travel by jet = 2000 miThe company president travel by prop plane =…

Q: Rosalyn and Naomi left their homes, which are 330 miles apart, and drove straight toward each other.…

A: Solution: The objective is to find the Rosalyn's speed.

Q: A cargo plane flew to the maintenance facility and back. It took one hour less time to get there…

A: time =distance speed

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: A bus traveled on a level road for 5 hours at an average speed 20 miles per hour faster than it…

A: The relation between speed time and distance is given by; Speed=Distance time

Q: An engineer traveled 175 mi by car and then an additional 645 mi by plane. The rate of the plane was…

A: Let the rate of the car = x mphSo, the rate of the plane = 3x mph

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: A bus traveled on level road for 2 hours at an average speed 20 miles per hour faster than it…

A: Let the average speed on the level road is = x mph Total time on the level road is= 2 hours  So…

Q: Weighs 5 pounds more than twice Brendan's weight, if total weight is 225 pounds how much was Danny's…

A:

Q: A car traveling at 70 miles per hour traveled one hour Linder than a truck traveling at 60 miles per…

A: Form the linear equation in one variable and solve for the time t.

Q: The length of a rectangular driveway is eight feet more than three times the width. The area is 16…

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Q: a boat travels 150 mile upstream in 10 hours, and the return trip downstream takes 6 hours.  find…

A: Let x be the speed of the boat in still water and let y be the speed of the current.Then,Speed…

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

A:

Q: the length of a rectangular driveway is five feet more than three times the width. The area of the…

A: Topic:-  geometry and algebra

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 bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it…

A: Suppose, the Average speed of the bus on the winding road was, x miles per hour  So, it's average…

Q: a freight train leaves Austin at a speed of 60 km/h. Two hours later, an Amtrak train leaves Austin…

A: To determine the time when the two train will meet again.

Q: Milan drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to…

A: Here we have to find the amount of the gas.

Q: Charlie drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would he need…

A:

Q: A motorboat leaves a harbor and travels at an average speed of 18 mph to an island. The average…

A: Let the island is x miles away from the harbor.  We will use the formula Time = distance / speed…

Q: A man bought a cow and a calf for 990 dollars, paying 8 times as much for thecow as for the calf.…

A: Let, x = the cost of the calf.   The cow costs 8 times as much, s So it costs = 8x.

Q: The distance from PSU to the Space Needle in Seattle WA is 194 miles. How long would it take to…

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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 hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike…

A:

Q: A tank contains 8000 liters of a solution that is 40% acid. How much water should be added to make a…

A:

Q: Isaac drove at an average speed of 46 mph over six hours. During the first three hours he drove at a…

A: Let Issac drove x miles in the first three hours and drove y miles in the last three hours.…

Q: The cost of a big tub dog treats is two times that of a small one plus 3 dollars. if a big tub of…

A:

Q: An engineer traveled 110 mi by car and then an additional 750 mi by plane. The rate of the plane was…

A: Let the rate of the car be x miles/h and the plane be 3x miles/hTravelling time by car is 110 mi/x…

Q: The area of a rectangle is 24 square inches. The length of the rectangle is2 inches more than the…

A:

Q: Autumn and Erica are 279 miles apart, traveling towards each other. If Erica travels 19 mph and…

A: We solve the problem by following method.

Q: The president of a company traveled 745 mi by jet and 115 mi on a prop plane. The rate of the jet…

A:

Q: Lauren rows a boat downstream for 18 miles. The return trip upstream took 16 hours longer. If the…

A:

Q: Natalie drove for 6.5 hours at 70 miles per hour.  How far did she travel?

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Q: A mountain cabin on 1 acre of land costs 30,000 dollars. If the land cost 4times as much as the…

A: Let the cost of the cabin=x  So the cost of the land=4x

Q: Two times the number of red tiles in a bag is the same as 75% of the number of red tiles in the bag…

A:

Q: A man bought a cow and a calf for $990, paying 8 times as much for the cow as for the calf. What was…

A: Let the cost of the calf= x  Cost of the cow = 8x  So total cost= x+8x=9x

Q: 2 inches tall burns at a rate  inch per hour. A larger candle that is 15 inches tall burns at a rate…

A: Given that  Small candle size = 12 inches tall small candle Burning rate =   inch per hour. Large…

Q: Togther Julia and Kristie can rake their yard in 18 minutes. Alone, Julia needs 15 minutes longer to…

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

Q: took Amari `2` hours to paint the first `14` feet of a `70`-foot-long fence.   At this rate, how…

A:

Q: A pilot flew a jet from city A to city B, distance of 2000 miles. On the return trip, the average…

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.