The riverboat Alert takes six hours to travel 180 km upstream but only four hours to return. Find the speed of the current and the speed of the riverboat in still water.

Q: A loaded Roadway truck is moving 40 mph faster than a New York Railways freight train. In the time…

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: Ryan usually bikes at an average rate of 12 miles per hour mph how long does it take him to hike a…

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 host covers 32 km upstreams and 36 km downdtreams in 7 hours.Also, it covers 40 km upstreams and…

A:

Q: Train A leaves the station and travels east at 45 mph while Train B leaves the same station and…

A:

Q: A fishing boat can travel 60 km with a 2.5-km/hr current in 2 hr less time than it can travel 60 km…

A: It is given that, boat travel 60 km in 2 hr less time.  Let rate of boat in still water, is S…

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: A boat traveled for 2 hours with an 8 mph current. The return trip against the same current took 3…

A:

Q: A motorboat takes  5  hours to travel  200  kilometers going upstream. The return trip takes  4…

A:

Q: A commuter train travels 45 miles in 34 minutes. What is its speed in miles per hour?

A: Formula:

Q: The speed of a river current is 5 mph. If a boat travels 30 miles downstream in the same time that…

A: Let the speed of the boat is v mph and the speed of the river current u = 5 mph.

Q: A boat can travel 8 miles downstream in the same amount of time it can travel 5 miles upstream. If…

A: If the speed of a boat in still water is u mph and the speed of the stream is v mph , Then  Speed of…

Q: An Air Force plane left New York and flew south at the average of 252mp. A cargo plane left some…

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 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 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: 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 motorboat travels 216km in 4 hours going upstream and 520km in 5 hours going downstream. What is…

A: let the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:Speed…

Q: A plane can fly 300 miles in the same time as it takes a car to go 100 miles. If the car travels 100…

A:

Q: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream,…

A:

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: Antonia rows a boat downstream for 81 miles. The return trip upstream took 18 hours longer. If the…

A: Given:     Downstream = 81 miles     Upstream = 18 hour longer    Current flow = 3 mph

Q: A train travelling at 48 kmph completely crosses another train having half its length and travelling…

A:

Q: As the average speed increases, what happens to the number of hours that it takes to bike the 20…

A: Average Speed = total distance travelled / total time taken

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

A:

Q: An airplane averages 150 mph. If a trip from Atlanta to Charleston takes 2 hours 48 minutes going…

A: Given  Speed of airplane=150 mph Time taken by airplane against wind t1=2.8 hours Time taken by…

Q: A boat that can travel fifteen miles per hour in still water can travel thirty-six miles downstream…

A: A boat that can travel fifteen miles per hour in still water can travel thirty-six miles downstream…

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

A:

Q: An aircraft carrier left Hawaii traveling west seven hours before a container ship. The container…

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

A:

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 plane flies 425 miles with the wind and 350 miles against the wind in the same length of time. If…

A: The speed of the plane is 155 mph Condition 1 :- With the wind, 2.5 ( 155+15) = 2.5 * 170 = 425…

Q: The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total…

A:

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 pilot left an airport and traveled 130 miles eastward when she spotted a UFO directly in her path.…

A: Hypotenuse square is equal to sum of squares of other two sides in a right triangle. Let us make a…

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

A: Given,           Two buses leave Phoenix at the same time traveling in opposite directions. One bus…

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

A:

Q: A car travels an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 15…

A:

Q: A motorboat takes 5 hours to travel 100 miles going upstream. The return trip takes 2 hours going…

A:

Q: An airliner flies at 510 mph in the jet stream, but only 270 mph returning against it. What is the…

A:

Q: A plane can fly 560 miles in the same time as it takes a car to go 120 miles. If the car travels 110…

A: Consider the speed of the plane is given by x mph. Consider the speed of car is given as y mph. The…

Q: Two high-speed ferries leave at the same time from a city to go 39 miles per hour. The second ferry,…

A: Topic:- algebra

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 cyclist traveled 8 kilometers per hour faster than an in-line skater. In the time it took the…

A: Given :Given :Skater travels = 55 km Cyclist travels = 99 kmtime=distancespeed

Q: A boat travels downstream 10 miles and returns to the starting point 2 hours. If the speed of the…

A: A boat travels downstream 10 miles and returns to the starting point 2 hours. If the speed of the…

Q: Mark is riding on a plane that can fly 500 miles without a tailwind of 25 mph in the same amount of…

A: We will find the speed of the plane as following.

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.