Suppose a person with a row boat is crossing a river 3000 feet wide and is trying to reach a destination on the other side which is 6000 feet along the bank. They plan to row to a point on the opposite bank at which point they will leave their boat and walk to their destination. If they can row at a speed of 4 feet per second and walk at a speed of 5 feet per second, where on the opposing bank should they land to reach their destination the fastest? Start 3000 ft Finish 6000Ft

Q: Find two consecutive odd integers such that 3 times the square if the larger is 45 more than 10…

A: Let the two consecutive odd integers be (2x+1) and (2x=3) according to the question 3 times the…

Q: A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow…

A: Given that A fast train takes 3 hours less than a slow train for a journey of 600kms The speed of a…

Q: A plane flies 470 miles with the wind and 310 miles against the wind in the same length of the time.…

A:

Q: Two executives in cities 400 miles apart drive to a business meeting at a location on the line…

A: Two executives in cities 400 miles apart. They meet after 4 hours. Speed of one car is 20 miles per…

Q: Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 3 times as…

A: Let the speed of the farrer cyclist be u mile/h.In the other cyclict's speed in u3 mi/h. Now in 3…

Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

A:

Q: 2. The delivery truck driver took 10 hr. to deliver products to an outline which is 600 km away from…

A:

Q: It takes you 59 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Given- It takes 59 seconds to walk from the first (ground) floor to the third floor of the building.…

Q: A 150-pound person uses 5.7 calories per minute when walking at a speed of 4 mph. How long must a…

A:

Q: Two cyclists, 108 miles apart, start riding toward each other at the same time. One cycles 2 times…

A:

Q: Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's…

A:

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. during…

A: In an 87-mile biathlon during run, average speed is 6 miles per hour, and during bicycle race,…

Q: A sum of $700 is to be used to give seven cash prizes to students of a school for their overall…

A:

Q: If a bear runs at 20 mph for 3 mins. and a human runs at 10 mph for 3 mins. show the formula needed…

A:

Q: If a person rows to his favorite fishing spot 9 miles downstream in the same amount of time that he…

A:

Q: A train travelsa distance of 300 km at constant speed.If the speed of the trainis increased by 5km…

A:

Q: A large pipe and a small pipe can fill a water tank in just 15 minutes if both are used together. If…

A: Please check step 2 for the solution.!

Q: Elsa and Anna left the castle at 8:00 a.m. to go for a run. Anna was jogging at 6 mph and Elsa was…

A: Given Anna was jogging at 6mph and Elsa was jogging at a rate 2mph slower than Anna. So Anna was…

Q: We breathe about 15 times per minute, and a hummingbird flaps its wings about 3,000 times per…

A: It is given that human breaths about 15 times per minutes and a hummingbird flaps its wings about…

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: The perimeter of a rectangle is 178 meters. If 4 meters were added to its width, the sum is half its…

A: Given : Perimeter of a rectangle =178 meters Lets w be the width . 4 meters were added to the width…

Q: two trains going in opposite directions leave at the same time. one train travels 13 mph faster than…

A:

Q: The time required for the examinees to solve he same problem differs by two minutes. Together they…

A: This problem is calculative and comprise algebra.

Q: slower

A:

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. During…

A: Distance is equal to speed times the time taken. So, to calculate the distance of the run, first we…

Q: Worker A can complete a task in 2 hours while worker B can complete the same task in 4 hours. How…

A:

Q: Zuki and Chandra took part in a race for a distance of 1.5 km. Zuki’s speed was 5 kmh-1 faster than…

A: total distance = 1.5 km  Let the speed of Chandra be x km/h therefore the speed of Zuki is x+5 km/h…

Q: Suppose your car averages 38 miles per gallon on the highway if your average speed is 55 miles per…

A:

Q: It took a salmon 45 seconds to swim upstream to a certain spot. The salmon then turned around to…

A: To find speed of salmon

Q: Linh has obtained scores of 82, 75, and 71 on her midterm algebra exams. if the final exam counts…

A: To determine the score on final exam.

Q: An auditorium will be constructed in such a way that there will be 20 rows of steel seats with 24…

A: An auditorium will be constructed in such a way that there will be 20 rows of steel seats with 24…

Q: A​ 150-pound person uses 5.7 calories per minute when walking at a speed of 4 mph. How long must a…

A: From the given statement, the person uses 5.7 calories per minute at the speed of 4 mph.

Q: A 24-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: The length of the board is 24-inch. It is given that the board is cut into three pieces. Let x, y…

Q: Suppose two trains leave a station at the same time, traveling in opposite directions. Train B…

A:

Q: A telephone pole has a wire attached to its top that is anchored to the ground. The distance from…

A:

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: A small plane flew 720 miles in 3 hours with the wind. Then on the return trip, flying against the…

A:

Q: Suppose your car averages 32 miles per gallon on the highway if your average speed is 60 miles per…

A: Given Data The average speed of the car for mileage m=32 miles per gallon is s1=60 miles per hour.…

Q: Two hikers are 15 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between two hikers which are at opposite ends of a journey and moving towards each other=15…

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A:

Q: Suppose two trains leave Edmonton, Canada, at the same time, traveling in opposite directions. One…

A:

Q: Suppose two trains leave Corpus Christi, Texas, at the same time, traveling in opposite directions.…

A: Please refer to the image below

Q: When Fritz drives to work his trip takes 35 ​minutes, but when he takes the train it takes 15…

A:

Q: An "up" escalator travels at 2.6 feet per second. If it takes you 11 times as long to run down the…

A:

Q: Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times…

A:

Q: A 150-pound person uses 5.2 calories per minute when walking at a speed of 4 mph. How long must a…

A: From the provided information, Time taken by 150 pound person to use 5.2 calories = 1min.

Q: One city A, is 30 miles north and 15 miles east of another city B. At noon, an Audi car starts from…

A: Audi is travelling at a rate of 40 mph and BMW is travelling at a rate of 30 mph.

Q: Captain Ri Jyeong Hyeok and Yoon Se Ri had an argument at the border between North and South Korea.…

A: Given condition:  OA = The distance travelled by Captain Ri in 2+t hr at speed 8kph.OB = The…

Q: A 5 foot tall woman walks at 8 feet per second toward a streetlight that is 20 feet above the…

A: Let's draw the sketch for the given scenario:                                           Hence in…

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.