A cabin cruiser traveling with the current went 45 mi in 3 h. Traveling against the current, it took 5 h to go the same distance. Find the rate of the cabin cruiser in calm water and the rate of the current.

Q: A motorboat traveling with the current went 105 mi in 5 h. Traveling against the current, it took 7…

A: To determine the respective speeds (by solving equations)

Q: A boat can travel 26 mph in still water. If the boat can travel 100 miles with the current in the…

A: Consider the speed of boat is v=26 mph. The distance that the boat can travel with the current is…

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: A motorboat travels  357  kilometers in  7  hours going upstream and  808  kilometers in  8…

A: Let the rate of the boat in still water is = x km/hour and  the rate of the current is = y km/hour…

Q: If you drive 117 miles and use 9 gallons of gas, what is your rate?

A:

Q: The boat on the Potomac river travels the same distance downstream in 3/4 hr as it does going…

A: Let ‘w’ be the speed of the boat in still water Time taken to travel downstream is ¾ hr Time taken…

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 family drove to a resort at an average speed of 25 mph and later returnedover the same road at an…

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

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: 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: A motorboat traveling with the current went 36 mi in 2 h. Traveling against the current, it took 3 h…

A: A motorboat traveling with the current went 36 mi in 2 h. Traveling against the current, it took 3 h…

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: 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: The ratio of new age tunes to classical tunes on Raven's mp3 player is 3:1. If Raven has 3 classical…

A:

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: In an electrical circuit, the voltage across a resistor is directly proportional to the current…

A:

Q: A motorboat traveling with the current went 140 mi in 5 h. Traveling against the current, it took 7…

A: To determine the speed of current and speed of boat.

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 hose fills a hot tub at a rate of 3.58 gallons per minute. How many hours will it take to fill a…

A:

Q: It took a crew 1h 28 min to row 7 km upstream and back again. If the rate of flow of the stream was…

A: First convert 1 hours 28 min to hours that 1+28/60 hrs =22/15 hrs

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: If you are going 379 miles what is that in kilometers? and if you can go the speed of 65mph, how…

A:

Q: The weight of an object on Mars varies directly as its weight on Earth. Aperson weighs 95lb on Earth…

A:

Q: Kellen paddled for 4 hours with a 3-km/h current to reach a campsite.  The return trip against the…

A: Given, Current is 3 km/hr and Let x km/hr be a boat speed in still water (x + 3) = speed going with…

Q: A boat took 3 hours to travel 24 km with the current. On the return trip, the boat took 5 hours to…

A:

Q: A hose fills a hot tub at a rate of 4.61 gallons per minute. How many hours will it take to fill a…

A:

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

A:

Q: A rowing team rowed 100 miles while going with the current in the same amount of time as it took to…

A: Given, A rowing team rowed 100 miles while going with the current in the same amount of time as it…

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

A:

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 rowing team rowed 90 miles while going with the current in the same amount of time as it took to…

A:

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

A:

Q: In a smoothies, the ratio of ounces of blueberries to ounces of yogurt is 2 to  5. How many ounces…

A: See the attachment

Q: If you drive 154 miles and use 11 gallons of gas, what is your rate of gas consumption?

A: In this case , we would calculate rate by driving by distance travelled by the amount of gas needed…

Q: jennie and her brother larry left their home at the same time for their separate vacations jenny…

A: Speed at which Jenny travels is 75 km/hr. Speed at which Larry travels is 60 km/hr.   Let x be the…

Q: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

A: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

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

A:

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

A:

Q: A hose fills a hot tub at a rate of 4.11 gallons per minute. How many hours Will it take to fill a…

A:

Q: How many miles would the plane travel in 3 hours at the same speed? miles

A:

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: 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: The distance that Brad travels varies directly with the time spent traveling. Brad traveled 660…

A: Given,         The distance that Brad travels varies directly with the time spent traveling. Brad…

Q: When a plance flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A:

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: A pump boat travelled 80 kilometers in two hours with the wind, and 3 hours against the wind. What…

A: