A motorboat maintained a constant speed of 13 miles per hour relative to the water in going 12 miles upstream and then returning. The total time for the trip was 6.5 hours. Use this information to find the speed of the current. The speed of the current is miles per hour.

Q: A cattle train left the station and traveled toward the fueling station at an average speed of 18…

A: The equation that describes the relationship between the distance, time and speed can be defined as:…

Q: A cross-country runner jogs at a rate of 15 feet per second. If she runs 300 feet from A to B, 450…

A: Speed of the runner is 15 feet per second. Total distance travelled is, Distance from A to…

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: 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: If a fan does not catch the T-shirt, after how many seconds will the T-shirt hit the ground?

A:

Q: After diving 91 m below the sea level, a diver rises at 5 meters per minute for 7 minutes. Where is…

A: Given, After diving 91 m below the sea level, a diver rises at 5 meters per minute for 7 minutes.

Q: On their next training run, Pepe averaged a speed of 2323 of a mile in 5 minutes, while Paula…

A: Average speed of Pepe is 2323 mile in 5 minutes. Average speed of Paula is 1414 mile in 2 minutes.…

Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

Q: Wilbur left the hardware store and traveled toward the recycling plant at an average speed of 33…

A:

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

A:

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

A:

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: Find how long it takes a person to drive 201 miles on the highway if she merged into a highway at 11…

A: 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: John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was…

A: Total distance travelled is,

Q: The amount of water used when taking a shower varies directly with the number of minutes the shower…

A: Given, A shower lasting 4 minutes uses 7 gallons of water. To find how much water is used in a…

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 car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and the rest of the…

A: Given:  In the first travelling part of the   time at 55…

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: 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: 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: 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 laptop uses 20 watts of electricity per hour when operating, At  10 cents per kilowatt hour, how…

A: Electricity consumption by laptop = 20 watt per hour total operating time = 5 hour So, total…

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. Enter the answer,…

A: We have to find out how many miles the space ship travelled.

Q: Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus…

A: Given that distance between the cites is 380 miles.Rate at which the bus travels is 76 miles per…

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: Two planes leave from Atlanta, Georgia. One makes a 5.2-hr flight to Seattle, Washington, and the…

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 train leaves Chicago at 7 a.m., traveling at 70 mph to New York, which is 800 miles away. Another…

A:

Q: An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator…

A: The elevator has a maximum capacity of 2800 pounds. The weight of the elevator operator is 265…

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

A:

Q: Joann took 20 minutes to drive her boat upstream to waterski at her favorite spot. Coming back later…

A: This question can be solved using the concept of speed,time,distance and relative speed

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

A:

Q: If a train travels 372 miles In 4 hours with a constant speed, how far did the train travel in one…

A: The Formula for velocity is  Velocity(speed):- (Distance)/(Time) Here Train travels 372 miles which…

Q: An airplane averages 130 mph. If a trip from Atlanta to Charleston takes 2 hours going against the…

A: let's assume speed of airplane is u, speed of wind is v and total distance covered is 2d miles we…

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: On a 220 mi trip, a car traveled at an average speed of 50 mph and thenreduced its average speed to…

A: On a 220 mile trip, a car traveled at an average speed of 50 mph and then reduced its speed to 35…

Q: The world famous mascot, Sammy the Seahawk, runs 3 times around a track of unknown length at a…

A: Let the length of the track be l.So the distance covered in three laps is 3l.And the time taken for…

Q: A truck moving continuously, averages 52.5 mph for 6.75 hr. how far does it travel during this time?

A:

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: A ship is sailling at 5 knots (nautical miles per hourlon

A: Given, Speed of ship: Vs=5knots. Direction of ship: θ=000° speed of wind: Vw=4knots Direction of…

Q: A car leaves a town at 110 kilometers per hour. How long will it take a second car, travelling at…

A: Given, A car leaves a town at 110 kilometers per hour and a second car travelling at 125 kilometers…

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.