If you walk at 1 km/h down the aisle toward the front of a train that is moving at 60 km/h, what is your speed relative to the ground?

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: The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions…

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Q: A train travelling at a uniform speed for 360 km. Would have taken 48 minutes less to travel the…

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Q: A train leaves a station and travels north at a speed of 50 km/h. Five hours later, a second train…

A: Please refer to the image below

Q: A man walks at the rate of 4 miles per hour. How far can he walk into thecountry and ride back on a…

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Q: Darlus has been on a road trip for a few days. On the morning of day 5, he starts driving, and after…

A: Given that - Darius has been on a road trip for a few days. On the morning of day 5, he starts…

Q: you are driving 62 mph and the other car is going 64 mph in the opposite direction.  Now what is his…

A: Given: You are driving 62 mph and the other car is going 64 mph in the opposite direction.

Q: Explain the Second-Order Equations?

A: Order of a differential equation is the highest derivative involved in the differential equation,…

Q: A train Travels 360 km at a uniform speed.If the speed had been 5 km/hr more,it would have taken 1…

A: GivenDistance =360kmSpeed =DistanceTimeTime=DistanceSpeed To findSpeed of train.

Q: Can I reach Pittsburgh, which is 612 miles away, if I drive for 7 and a half hours at a constant…

A: # as per the guidelines we are not entitled to give handwritten solutions Time of drive is 712hours…

Q: he amount of charcoal a coal burner burns varies directly as the time taken for cooking. If the…

A: Given that the burner burns 600 gram in 20 minutes, then our aim is to calculate how much time does…

Q: as a result of adverse winds the average speed of a hydrofoil on the return leg of a 180 mile round…

A: Let x be the average speed of the hydrofoil on going out x-15 is the average speed of the hydrofoil…

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

A:

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the…

A: Time (T) is proportional to the length of the highway (L) and inversely proportional to the number…

Q: suppose you have entered 43 mile biathalon that consists of a run and a bicycle race.  During your…

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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: ​ truck, moving​ continuously, averages 52.5 mph for 8.75 hr. How far does

A:

Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

A: Information obtained from question: Let us consider two cars - Car X and Car Y 1. Speed at which car…

Q: Two cars start from the same point, at 9:15 AM, traveling in opposite directions at 40 and 50 mph,…

A: given  when 315 miles apart    B←50MPH→40MPHA

Q: If the speed of a plane is described as Mach 2.7 what is its speed in kilometers per hour

A: By definition, Mach is the local flow velocity, u(say) is equal to the speed of sound. One Mach…

Q: With the current, you can row 9 miles in 2 hours. Against the current, your return trip takes 6…

A: Distance = 9 miles Time with the current = 2 hours return time = 6 hours

Q: Two cars are approaching an intersection on roads that are perpendicular to each other. Car A is…

A: Let O, A and B be the point of intersection, the positions of car A and car B, respectively. Use…

Q: When a constant force acts upon an object, the acceleration of the object varies inversely with its…

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Q: A Train travels 360 km at a uniform speed. If the speed had been 5 km/ hr more, it would have taken…

A: Given,          A train travels 360 m at a uniform speed. The speed had been 5 km/hr more, it…

Q: The age of a dog varies directly as its equivalent age in human years . If a 3 year-old is…

A: Let 'y' e the age of dog and 'x' e its equivalent agein human years. Then , according to question,…

Q: Suppose a person with a row boat is crossing a river 3000 feet wide and is trying to reach a…

A: Let P be the point on the opposite bank, the person plan to row and x be the distance between P and…

Q: A car travels for 2 hours at an average speed of 55 miles per hour, then travels for 30 minutes at…

A: The formula for average speed is given by, Average speed= Total distanceTotal time That implies,…

Q: Car A and car B are traveling at different speeds. Car A can travel 105 miles in the same time it…

A:

Q: Two cars, X and Y, start together in the same direction from the same place. Car X goes with a…

A: This question is based on Arithmetic progression

Q: Two cars are approaching an intersection on roads that are perpendicular to each other. Car A is…

A: Draw the figure.

Q: At the Dallas-Fort Worth International Airport a DC- 10 at 4500 feet is descending toward the east…

A: Please find the solution below:

Q: To get to work, Santa jogs 3 km to the train and then rides the remaining 5 km. If the train goes 40…

A: Topic:- time and Speed

Q: If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2 - 2x + 1) hours, what is the…

A:

Q: he volume of a cone varies jointly as its height, and the square of its radius. If a cone with a…

A: Given: The volume of a cone varies proportional to its height and square of its radius. Volume of…

Q: While traveling to the office, Dolly drives her car at a speed of 60 kmph and then suddenly the car…

A: This is a question of kinetics, mathematical physics, and the application of Differential calculus.

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

A:

Q: Two automobiles are leaving from the same point and are traveling in opposite directions. One is…

A: Given that two automobiles started from the same points and traveling in opposite directions. Also…

Q: If a woman walks at a speed of 5 miles/hour for 2.5 hours, she will have walked a. 5.1 miles b.…

A: Given ;                  If a woman walks at a speed of 5 miles/hour for 2.5 hours To find :…

Q: The number of long distance phone calls between two cities in a certain time period varies jointly…

A: Given: The number of long distance phone calls between two cities in a certain time period varies…

Q: If the maximum speed of x is 75km/h when the number of cars in a 12.4 meter wide road is 400. What…

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: Two cars are each 100 miles away from the town of Tucumcari, one directly to the north and the other…

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Q: what is the general solution to the equation %3D

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Q: The maximum load of a horizontal beam that is supported at both ends varies jointly as the width and…

A:

Q: A Train travels 360 km at a uniform speed.If the speed had been 5 km/hr more,it would have taken 1…

A:

Q: Two cars start from the same point, at 11:05 AM, traveling in opposite directions at 45 and 24 mph,…

A: Two cars leaving from same destination traveling in opposite direction. Hence, their relative speed…

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…

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.