A ship made a trip of 297 mi in 18 h. The ship traveled the first 126 mi at a constant rate before increasing its speed by 5 mph. It traveled another 171 mi at the increased speed. Find the rate of the ship for the first 126 mi.

Q: A car travels 90 miles per hour, and a plane travels 15 miles per minute. How far (in miles) does…

A: We know that the distance = speed x time

Q: A hose fills a hot tub at a rate of 2.63 gallons per minute. How many hours will it take to fill a…

A:

Q: The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 10 miles…

A: To find the number of revolutions per minute of turning wheel.

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: 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: An airplane traveled 5.7x102 miles per hour for 1.4x101 hours. How far did the airplane travel?

A: Given data:     The given speed of the airplane is: s=5.7x102 miles per hour. The given time is:…

Q: A 30lb person who runs at 6mph for 1 hour burns 720 calories. The same person, walking at 4mph for…

A: Number of calories a 130lb person burns while running at 6mph for 75 minutes is.

Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) 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: it took a crew 2 hours and 40 minutes to row 6 kilometers upstream and back again. if the rate of…

A: Let x km/h be the rowing speed of the crew in still water Given the rate of the flow is 3 km/h Then…

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: 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: 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 car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an average speed of…

A: Given that  a car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an…

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: 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: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x <…

A: It can go 600/x miles in 1 gallon. And cost  of 1 gallon is 2.80.So cost for (600/x) miles =…

Q: A boat traveled 84 kilometers each way downstream and back. The trip downstream took 4 hours. The…

A:

Q: Two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They…

A:

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

A:

Q: The dosage of a cold medication is 2 mg for every 80 pounds of body weight. How many milligrams of…

A:

Q: An airplane dropped a flare from a height of 1560 feet above a lake. How many seconds did it take…

A: The diagram of an aero plane dropping a flare is shown below.

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: A woman begins jogging at 3:00 P.M., running due north at a 6-minute-mile pace. Later, she reverses…

A: Solution: Consider the given that Woman starts jogging at 3:00 PM and return to the starting point…

Q: As part of flight traning, a student pilot was required to fly to an airport andthen return. The…

A: Let d be the distance between two airports.

Q: A stunt driver was needed at the production site of a Hollywood movie. The average speed of the…

A: Let d be the one way distance in miles Then time taken by the the stunt driver to flight to the site…

Q: The total race is 3.1 miles. How far apart are the two checkpoints?

A: ' Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: It took a crew 1 h 50 min to row 8 km upstream and back again. If the rate of flow of the stream was…

A: Given, It took a crew 1 h 50 min(=110 min) to row 8 km upstream and back again and the rate of flow…

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

A:

Q: Raymond can paint of a wall in 16 minutes. How long would it take him to paint of a wall?

A: Given Raymond can paint 58 os a wall in 16 minutes

Q: During the first part of a trip, a canoeist covered 60 km at a certain speed. He then traveled 24 km…

A: Let, the speed during the first part of the trip= s km/hr Distance covered in the first part of the…

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

A:

Q: A football player runs 80 yards in 25 seconds. If he maintains the same rate of speed, how far could…

A:

Q: A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it…

A: Given:Time taken by bus on the level road=3 hoursTime taken by bus on the winding road=4 hoursEntire…

Q: An ant crawled from home to a flower at an average speed of 10 feet per minute, and then crawled…

A: Let the one way trip from home to the flower is x feet. Given that the speed while going from home…

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

A: Given:

Q: A motorboat takes 4 hours to travel 128 miles going upstream. The return trip takes 2 hours going…

A:

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

A:

Q: A motorboat maintained a constant speed of 13 miles per hour relative to the water in going 12 miles…

A: First, Let's express the time travelled t1 and t2 as the…

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

A:

Q: After dieting for 30 days, Ignacio has lost 18 pounds. What number describes his average weight…

A:

Q: It took a crew 3 h 36 min to row 6 km upstream and back again. If the rate of flow of the stream was…

A: Let the rowing speed in still water be x km/ hour.The rate of the flow of stream is 4 km/ hour.The…

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: A submarine is at an underwater depth of 600 feet. It then rises 500 ​feet, dives 400 ​feet, and…

A:

Q: If you travelled 54 km at a speed of 720 miles per minute how long did it take to travel

A: The formula of speed is S=dt, where d is the distance and t is the time. First convert the given…

Q: A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going…

A: Let x be the speed of a motorboat in still water and y be the current rate.

Q: It took a crew 2 h 15 min to row 7 km upstream and back again. If the rate of flow of the stream was…

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.