Two buses are driving along parall freeways that are 5 miles apart, one heading east and the other heading west. Assuming that each bus drives a constant 55 mph, find the rate at which the distance between the buses is changig when they are 13 miles apart heading towrds each other.

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4ft/s.

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: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist…

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster…

Q: At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is sailing…

A:

Q: An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m., another…

A: Given: An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m.,…

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: A ball is thrown straight down from the top of a 220-footbuildingwith an initial velocity of −22…

A: Use the position function, s(t)=-16t2+v0t+s0 and substitute v0 and s0 with -22 and 220,…

Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and…

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and…

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: Car A is traveling west at 50 mi/h and Car B is traveling north at 60 mi/h. Both are headed for the…

A: In first question we find out dz/dt .and in 2nd question first we put dy/dx=0 for extreme values.and…

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

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 candles of equal length are lit at the same time. Candle A takes 10 hours to burn out completely…

A: According to the given question, Length of candle A = Length candle B Number of hours taken by…

Q: Two people start biking from the same point. One heads east at 13 mph, the other south at 17 mph.…

A: Given, two bikers start at same point. One heading east at 13mph and other heading south at 17 mph.

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

A:

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: Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If he…

A:

Q: 16 mi/h and the other travels west at 12 mi/h. At wha

A:

Q: Two trains leave towns  471  miles apart at the same time and travel toward each other. One train…

A: Two trains leave towns 471 miles apart at the same time and travel toward each other. One train…

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

A:

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

A:

Q: Two cyclists leave towns 235 kilometers apart at the same time and travel toward each other. One…

A: Question- Two cyclists leave towns 235 kilometers apart at the same time and travel toward each…

Q: Two runners start moving from the same point. One runs north at 8 km/hr and the other runs east at…

A: • Distance travelled = Speed × time • The rate of change of the distance between the two runners can…

Q: Suppose that a car skids 15 m if it is moving at 50 km/h when the brakes are applied. Assuming that…

A: Given that car skids, 15 m if it is moving at 50 km/h when the brakes are applied. That is,

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

A:

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A:

Q: Two buses are driving along parallel freeways that are 12 miles apart with one bus heading east and…

A:

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

A:

Q: Two buses are driving along parallel freeways that are 20 mi apart, one heading east and the other…

A: In right angle triangle , B2  + P2 = H2   ( Using Pythagoras Theorem ) Where B is base , P is…

Q: Two children, who are 224 meters apart, startwalking toward each other at the same instant at rates…

A: Two children are 224 meters apart. They start walking toward each other at the same instant at rates…

Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10mi/h…

A: According to the given information,   Let the one cyclist, the slower one travels at the rate of x…

Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the…

A: topic - application of derivatives

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

A: Here I am attaching image so that you understand each and every step.

Q: Two buses are driving along parallel freeways that are 4 miles apart with one bus heading east and…

A: We draw the figure as, speed of bus B1 traveling to the east =70 m/h speed of bus B2  travelling…

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: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant that a…

A: Given: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant…

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: One car leaves a given point and travels north at 40 mph. Another car leaves 1 HOUR LATER, and…

A: Let's find rate of change distance between the cars changing at the instant the second car has been…

Q: Two cyclists, 48 mi apart, start riding towards each other at the same time. One cycles twice as…

A: Given that two cyclists is 48mi apart riding towards each other at the same time and one cycle is…

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

A:

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

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: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A: A goes to south at 16 mi/h, so dA/dt= 16  After 3 hours A will be 16*3=48 mi away from the origin.…

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

A:

Q: A 22-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Leader is leaning against wall at AC=22 ft. Distance of the ladder from the wall is x=15 ft. Let the…

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

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.