Brandon is on one side of a river that is 50 m wide and wants to reach a point 200 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the best route if Brandon can swim at 1.5 m/s and run at 4 m/s.

Q: A lamp post 3 m high is 6m from the wall. A man 2 m tall is walking directly from the post toward…

A:

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

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: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: To find least time Angelo has to run in shortest path.

Q: A Rams running back, carrying the ball straight down the near sideline with a velocity of 7.5 m/s…

A: Given: To explain the correct option of the given statement as follows,

Q: While John was on a hike, he filled his cylinder canteen, that was 10 in. tall and 6 in. in diameter…

A: Given that the canteen is 10 in. tall and 6 in. diameter. Since John filled the canteen, the initial…

Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given: Distance between shoreline and Anglo= 2 kilometers. Distance between Anglo's house and…

Q: Two buses are driving along parall freeways that are 5 miles apart, one heading east and the other…

A: We have to find rate at which the distance between the buses is changing when they are 13 miles…

Q: A train 220 m long is running with a speed of 59 kmph . In what time wil it pass a man who is…

A:

Q: the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take…

A: answer is in next step

Q: A long rectangular sheet of metal 30 inches wide is to be made into a gutter by turning up strips…

A: Let the length of the vertical strips along the tow sides is x inches. Then the length of the base…

Q: Two posts, one 8 feet high and the other 12 feet high, stand 15 feet apart. They are to be stayed by…

A: We need to find  the stake be placed to use the least amount of wire?

Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels  6…

A:

Q: An auto A is moving at 20 ft/s and accelerating at 5 ft/s2 to overtake an auto B which is 384 ft…

A:

Q: A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from…

A: Given: A car traveling at 45 miles per hour.

Q: Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph, are…

A:

Q: The sides of a square baseball diamond are 90 ft long. When a player who is between second and third…

A: The solution is given below

Q: the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take…

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

Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

A:

Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

A:

Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels  9…

A:

Q: A small resort is situated on an island that lies exactly 4 miles from PP, the nearest point to the…

A: Let R, and W represents the resort and source of fresh water. Let AP=x, AW=10-x, PR=4 Then by…

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: An ambulance and a police car were parked 670 meters apart. Simultaneously, the ambulance…

A: Given that An ambulance and a police car were parked 670 meters apart. Simultaneously, the ambulance…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given :                  Distance between shoreline and Anglo = 2 km                  Distance…

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

Q: If the raindrop is initially 500 m above the ground, how long does it take to fall? Find the

A:

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

A:

Q: A rectangular park is 30 m long and 20 m broad . A steel wire fence is put up all around it . Find…

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Q: At what fraction of the speed of light does Alice have to travel relative to Bob so that Alice does…

A: Given Alice does everything three times as slowly as Bob Find The fraction of speed

Q: From the main entrance of a park, there are two pathways where visitors can walk along going to the…

A: Given: Area of garden is 78.54 m2 and distance between main entrance and center of garden is 13 m

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

A:

Q: A 5-kg bucket is lifted from the ground into the air by pulling in 20 m of rope at a constant speed…

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Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

A:

Q: A (square) baseball diamond has sides that are 90 feet long . A player running from second base to…

A: Let X(t) be the distance from player’s to home plate at time t (in seconds).Given that the length of…

Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

A: Solution

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

A:

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

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Q: It takes one week for a crew to pave 3/5 kilometer of road.  At that rate how long will it take to…

A:

Q: The foot of a ladder is 2 m from a wall and the top of the ladder is 6 m above the ground. Calculate…

A: Given Information -  Distance between foot of the ladder and the wall = 2m The vertical distance…

Q: As a water tank is being raised, water spills out at a constant rate of 2 ft³ per foot of rise. If…

A:

Q: Two taxicabs left the company's garage and traveled in opposite directions. One taxi leaves at 6 am…

A: Let at time t hours after 6 am they will be 225 km apart. Since one taxi's average speed is 60 kph…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 8 m/sec…

A:

Q: Two resistors are wired in parallel, one of which is 100 ohms. If the total resistance is supposed…

A: The value of the second resistor needs to be 400 ohms.

Q: Two cars are traveling along a straight-line in the same direction, the lead car at 25.0 m/s and the…

A: Consider the given: Initial Speed of the lead car (uL)=25.0 m/sFinal Speed of the lead car (vL)=0…

Q: A 80 foot ladder leaning against a wall is being pushed so that the bottom of the ladder is sliding…

A: Here dydt=6feet/secondx=48 feety=64feet

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.