Car A is traveling west at 50 mph and car B is traveling N at 60 mph. Both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 0.3 mi and car B is 0.4 mi from the intersection?

Q: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both…

A: To Determine: How long will it take for the tub to fill if both faucets are open and the stopper is…

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

A: NOTE: Refresh your page if you can't see any equations. . the initial distance between two ships is…

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

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

Q: The current in a typical Mississippi River shipping route flows at a rate of 4 mph. In order for a…

A: Let the speed of barge in still water be x miles per hour. Given the speed of river is 4 miles per…

Q: Suppose a trip from the dormitory to the late at 30 mph takes 12 minutes longer than the return trip…

A: Please refer the attached image for complete solution. THANK YOU.

Q: A 4.5 ft tall man is walking away from a 25 ft tall lamp post.  If he is walking at a rate of 2…

A:

Q: Two cars are traveling along perpendicular roads, car A at 40 mph and car B at 60 mph. At noon, when…

A: Related rates is the change of quantity with respect to time t. Find the rate of change of a certain…

Q: Two trucks, one traveling west and the other traveling south, are approaching an intersection. If…

A: Given that, Two trucks, one traveling west and the other traveling south, are approaching an…

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A: Let t= time in second d=distance Also, consider second skater time in second is t .

Q: airplane flying to the Dominican Republic has an altitude of 31,000 feet and is ascending at a…

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: Two men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

A: Let after x hours they will be 300 miles apart. We are going to use the formula: Distance = Speed *…

Q: Ship A is sailing due south at 16 mi/h, and ship B, 32 miles south of A, is sailing due east at 12…

A:

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship…

A: At time t, the ship A moves 24t and ship B moves 16t. It can be found that, the ship A moves closer…

Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: Big Jim, engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the…

A: Let x be the distance travelled before the cylinder blew and s be the corresponding distance. Then…

Q: A jet plane traveling at 600 mph overtakes a propeller-driven plane which has had a 2 hour head…

A:

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

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Q: One ship is sailing south at a rate of 5 knots, and another is sailing east at a rate of 10 knots.…

A: Given that at time 2 p.m the second ship is at the place occupied by the first ship one hour before.…

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: 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: 3. Sam lives 250km from Ron's house. If she leaves her house at 1 PM and is driving at a speed of 50…

A:

Q: A bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30…

A: Given that, the bus leaves a half -hour before the car. The speed(r) of the bus is 50 miles per…

Q: At what rate is the distance between Jack and Jill changing if Jack is 3 miles from the bakery and…

A: Given:         To determine:

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

A: Draw the figure.

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A boy is flying a kite at a height of 150 ft. If the kite moves horizont ally away from the boy at…

A: Topic = Triangle

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: If a plane flies 500 mph in calm air and the rate of the wind is r miles per hour, then the rate of…

A: Given that a plane flies 500 mph in calm air and the rate of the wind is r miles per hour. To find:…

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: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

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

Q: You are standing on the bank of a river that is 100 m wide, and see someone needing help 300 m up…

A: bank of a river is 100m widesomeone needing help 300m up the opposite shoreswim=3m/srun=5m/sTo what…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: Two cars F and G leave simultaneously from the same point O. Car F goes east at an average speed of…

A: As the starting point of the cars is O thus let the distance covered by car F in one hour be OF and…

Q: two cars live in town and travel in opposite directions. one car travels at the rate of 45 kph and…

A: Given One car speed = 45 kphother car speed = 55kph

Q: A taken 3 hours more than B to walk a distance of 30 km. But if A doubles his speed, he is ahead of…

A: Let speed of A be = x km/h &  speed of B = y km/h.

Q: Karina is 5 miles to the east of Franco, and she starts walking northward at 3 mph. After 30 mins,…

A: for simplicity consider Franco is steady and Karina move 3+4=7mph to North. distance between them is…

Q: A ship leaves point A and sails north at the constant rate of 12 knots. Two hours later, a second…

A: lets assume speed of ship in north direction = dydt = 12 knots speed of sheep in east direction =…

Q: Two joggers start from opposite ends of an 8 mile course running towards each other One jogger is…

A: Let after x hours they will meet. We will use the formula: Distance= speed*time  Speed of first…

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship…

A: Given data: The initial distance between ship A and ship B is AB=20  nautical miles. The speed of…

Q: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45mph. If the car had a 1…

A:

Q: Car A is traveling west at 50 mih and car B is traveling north at60 mih. Both are headed for the…

A: Since, we have been given that Car A is travelling west at 50 mi/hand Car B is travelling north at…

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 car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road…

A: the car is at the position A at the start.  it travelled in the East direction that is from A to B .…

Q: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, has hada 3 hour head start. How…

A: Ler x miles from the starting point the car overtakes the cyclist. We will use the formula: time…

Q: 2. Ship A is 15 miles east of O and moving west at 20 mi/hr, ship B is 60 miles south of O and…

A: Given : Ship A is moving west at 20 mph and ship B is moving north at 15 mph

Q: Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and moving…

A: Given data: The speed of  A is dxdt=-20 mph. The speed of  B is dydt=15 mph. Position of A is xA=15…

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.