North at 30mph, while the other travels due East at 40mph. At what rate is the distance between the cars changing after 1 hour?

Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: a 17 foot tall ladder is leaning against a vertical wall and its base is on level ground. The top of…

A: We have to find at what rate is the top of the ladder sliding down the wall when it is 8 feet above…

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: A baseball diamond is a square with side 90 feet. A batter at home base hits the ball and runs…

A:

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: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 5 m/sec…

A: Let x be the distance travelled by Person A at a speed of 5 meter per second, after 25 minutes. Use…

Q: A ladder 10 feet long is leaning against the side of a vertical wall. The bottom of the ladder…

A:

Q: Two cars start moving from the same point. One travels south at 40 mph and after one hour, the other…

A:

Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

Q: A baseball diamond is a square with side 90ft. A batter runs toward first base at 25 feet per…

A: Assume x = distance batter has run at time t andD = distance from second base to the batter attime…

Q: A car leaves an intersection traveling west. Its position 4 seconds later is 22 ft from the…

A:

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

A:

Q: a man 6ft tall walks at rate 5ft/sec away from a lamppost that is 13 ft high. At what rate is the…

A:

Q: A man cruises his new model Ferrari north 8 mi and then turns east at 12 mi/hr. At what rate was his…

A: Explained below

Q: An explosion is recorded by two microphones that are 1 mile apart. Microphone M1 received the sound…

A: Given that sound travels at 1100 feet per second. Also, M1 received the sound 2 seconds before M2,…

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A:

Q: A man 6 ft tall walks at a rate of 4 ft/sec away from a lamppost that is 16 ft high.  At what rate…

A: Let x be the distance of the man from the lamppost and y be the length of the shadow as shown in the…

Q: Two trains travel toward each other from points which are 195 miles apart.They travel at rate of 25…

A:

Q: An explosion is recorded by two microphones that are 2 miles apart. Microphone M2 received the sound…

A: Given that:M1 and M2 are the two microphones.The two microphones are 2 miles apart.Sound travels at…

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

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 car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

A:

Q: Two small planes start from the same point and fly in opposite directions. The first plane is flying…

A: Let the speed of second plane be x mph Then speed of first plane =(x-40) mph Distance travelled by…

Q: Claire starts at point A and runs east at a rate of 11 ft/sec. One minute later, Anna starts at A…

A: Topic = Algebra

Q: Mervin and Leela are in bumper cars. They are at opposite ends of a 100-meter track heading toward…

A:

Q: If the ocean is opening at a rate of 3 cm/year., how wide will the ocean be in 100 million years in…

A: If the ocean is opening at a rate of 3 cm/year, then we have to find how much wide will the ocean be…

Q: A 26 foot ladder is sliding down a vertical wall.  The base of the ladder is sliding away from the…

A:

Q: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: The sides of the square are increasing at a rate of 3 cm per second . When the sides are 5cm long ,…

A:

Q: Two small planes start from the same point and fly in opposite directions.The first plane is flying…

A: Let the speed of second plane be x mph Then speed of first plane =(x-25) mph Distance travelled by…

Q: Two railroad tracts are perpendicular with each other. At 12:00PM, there is a train on each track…

A:

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: A train covered half of the distance between stations A and B at the speed of 48 km/hr but then it…

A:

Q: Two cars start moving from the same point. One travels south at 84 mi/h and the other travels west…

A:

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

A:

Q: A square baseball diamond has sides that are 90 feet long. A player is running to third base at a…

A: Solution

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

A: This question is based on application of  differentiation and Pythagoras theorem, We will solve it…

Q: a 5-ft tall person walks away from a 20-ft tall streetlamp at a constant rate of 3 ft/s . at which…

A: Let us denote: x= distance of the person from the post y=length of the shadow Given that, dx/dt=3 ,…

Q: The radius of the tires of a car is 18 inches, and they are revolving at the rate of 673 revolutions…

A: To find the circumference of the tyre.

Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

A:

Q: A man 6 feet tall walks at a rate of 2 feet per second away from a light pole that is 16 feet high.…

A: From the figure substitute value of BE, AE, AD and AC in equation (1)

Q: Two people are at an elevator. At the same time one person starts to walk away from the elevator at…

A: Concept: Pythagorean theorem. X2+y2=z2

Q: A man 6 ft tall walks at a rate of 2 ft/sec away from a lamppost that is 17 ft high. At what rate is…

A:

Q: Some amusement parks have a double Ferris wheel, which consists of two vertically rotating wheels…

A: As per Company guidelines we are allowed to only three sub-parts so i am first three sub-parts.…

Q: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

A: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

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

A:

Q: One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

A: Assuming that car are travelling along the y-axis and x-axis respectively.The position of cars is…

Q: A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above…

A: dx/dt​=4.  given.    Distance of tip= y+x…

Q: from

A: