motorboat maintained a constant speed of 11 miles per hour relative to the water in going 28 miles upstream and then returning. The total time for the trip was 5.5 hours. Use this information to find the speed of the current

Q: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return…

A:

Q: A small radio transmitter broadcasts in a 62 mile radius. If you drive along a straight line from a…

A: Consider the transmitter at the origin. The radio transmitter broadcasts in a 62 mile radius ∴ The…

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

A: relation is as below :

Q: A small radio transmitter broadcasts in a 67 mile radius. If you drive along a straight line from a…

A:

Q: a total of 25000is to be invested in stock and bonds. if the amount invested in bonds is four times…

A: Let's find amount invested in binds and stocks.

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 cyclist rode the first 44​-mile portion of his workout at a constant speed. For the 32-mile…

A: Let s be the speed of the cyclist for the first 44 miles. Then(s-3) be the speed of the cyclist for…

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: Darren drives to school in rush hour traffic and averages 32 mph. He returns home in mid-afternoon…

A: Given that, The average speed reaching from home to school is 32 mph. And, The average speed…

Q: A seismograph records the epicenter of an earthquake 50 miles away. A second seismograph. 10 miles…

A:

Q: The riverboat Alert takes six hours to travel 180 km upstream but only four hours to return. Find…

A: In this distance and time for upstream and downstream is given by using distance formula calculate…

Q: As part of a training program for the Boston Marathon, a runner wants to build endurance by running…

A:

Q: square pyramid in Egypt has an amount of its base equal to 12,000 sq. meters and its altitude is…

A: Note : Space enclosed for any object is given by the volume of that object.   Hence ,  Amount of…

Q: Darren drives to school in rush hour traffic and averages 27 mph. He returns home in mid-afternoon…

A: Given Darren drives to school in rush hour traffic and averages 27 mph. He returns home in…

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

A:

Q: Djimon is on a road trip. He drove 6 hours the first day. If he keeps a speed of 65 mph,…

A:

Q: A bus is traveling at a constant speed. If the bus travels 15 1/2 miles in 1/3 of an hour, how many…

A: Given that the bus travels 1512 miles in 13 of an hour.So the speed=distancetime=1512 miles13…

Q: The number N of aluminum cans used each year varies directly as the number of people P using the…

A: Given, the number of aluminum cans used each year =N The number of people using the cans =P  The…

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

A:

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

A: Let the distance to the airport be d. Time taken to go to the airport be t1.  Time taken to return…

Q: A boat travels at a speed of 20 miles per hour in still water. It travels 48 miles upstream, and…

A: Given information:A boat travels at a speed of 20 miles per hour in still water. It travels 48 miles…

Q: It took a crew 4 h 48 min to row 10.8 km upstream and back again. If the rate of flow of the stream…

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: Brett leaves Seattle at 60 miles per hour. 19 minutes later, Saba leaves Seattle traveling the same…

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 starts from Los Angeles and heads for Chicago at 40 mph. Two hours later a passenger…

A:

Q: Beth left school and traveled toward the capital. One hour later Trevon left traveling at 80 mph in…

A: Let's find.

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: 276 students enrolled in a freshman-level chemistry class. By the end of the semester, 5 times the…

A: consider number of student who passed is x and the number of student who fail is y. 276 students…

Q: A small radio transmitter broadcasts in a 59 mile radius. If you drive along a straight line from a…

A:

Q: Two cars leave Las Vegas, Nevada, at the same time after visiting the Las Vegas Motor Speedway. The…

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: 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: a two digit number is four times the and three times the prsuc t of its digits ,find the number

A: Given, a two digit number is four times the sum and three times the product of its digit. We have to…

Q: A boat has a speed of 5 mph in calm water.it takes the boat 3 hours to travel upstream but only 2…

A: Speed of current

Q: A truck traveled at an average speed of 60 miles per hour for 5 hours and had a fuel consumption…

A: Given that Average speed of truck is 60 miles per hour trip duration is 5 hours fuel consumption…

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 hiker walked for 5 hours. First he walked on a flat road and then he walked uphill, later he…

A: Time=(distance)/(velocity)

Q: How far will the driver get if he drives at an average speed of 40 miles per hour for 3 hours and 45…

A:

Q: A trucker drove 175 miles to make a delivery and returned home on the same route. Because of foggy…

A:

Q: On a bicycle, Rachael rides for 4 hours and is 38 miles from her house. After riding for 6 hours,…

A:

Q: A train leaves Little Rock , Arkansas, and travels north at 55 kilometers per hour. Another rain…

A:

Q: A jeep drove 135 miles on a paved road at a constant speed. It then decreased its speed by 25 miles…

A: Let the speed of jeep on paved road be x. The distance traveled on paved road is 135 miles. The time…

Q: Hagrid is 3 mi offshore in a boat transporting some first years to Hogwarts, whichis located 6 mi…

A: Let x is the distance from the point on the shortest nearest Hagrid’s boat to the landed point.…

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: As part of his flight trainging, a student pilot was required to fly to an airportand then return.…

A: Let the distance is = x miles We will use the formula: time=distance/speed   While going speed= 90…

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.