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 moving north at 15 mi/hr. Are they approaching or separating after one hour and at what rate?

Q: One ship, Ship A, is approaching a port from the east, travleing west at 15 miles per hour, and is…

A:

Q: What is the rate at which the two hands of the clock are separating when the time is two o’clock if…

A: Let's find.

Q: How do you solve question 3?

A:

Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing…

A:

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

A: We are using speed=distance/time And the Pythagoras Theorem.

Q: 1. Two planes leave at the same time. One flies west at 300km/hr. the other flies east at 450 km/hr.…

A: Speed of plane 1:  s1 = 300 km/hr Speed of plane 2:  s2 = 450 km/hr

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: Car A is traveling west at 50 mph and car B is traveling N at 60 mph. Both are headed for the…

A: Given that car A traveling West at 50 mph car B traveling North at 60 mph we have to find the rate…

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

A: Let the time at 2:00 Pm be t  The two ships will form a right angled triangle, with horizontal side…

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

Q: Two cars are initially 1000 miles apart on a road that runs East/West. Car A drives 40 miles per…

A: To determine the rate of change of distance between two cars after 10 hours and 20 hours of travel.

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

A:

Q: A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr.…

A: (a) Let the initial position of the car be at the origin. Take the x-axis from west to east and the…

Q: 2. Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph,…

A: Solution ) the rate at which they are approachung each other = 45 + 70  = 115 m/ h For car 1  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: Two cyclists are travelling on a grid. At noon, cyclist A is 10 km west of cyclist B. Cyclist A is…

A: Given  At noon, cyclist A is 10 km west of cyclist B.  Cyclist A is travelling west at 10 km per…

Q: Two airplanes are flying in the air at the same height: airplane A is flying east at 450 mi/h and…

A: Given Speed of airplane A = 450 mi/h Speed of airplane B = 500 mi/h Distance of airport = 50 miles…

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:

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

A:

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3…

A: Follow the procedure given below.

Q: 4. Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 5…

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: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: 10. At noon, ship A is 100 km west of ship B. Ship A is sailing south at 35 km/hr and ship B is…

A:

Q: 1. a) A car is driving toward an intersection from the east at 40 mi/h, and a second car is driving…

A: Here the two cars are approaching each other at right angles with different speeds. Therefore the…

Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

A:

Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

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: 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: Take the position of ship B as the origin. So the coordinates of ship A are: (-170,0) Coordinates of…

Q: At noon, ship A is 50km  west of ship B. Ship A is sailing south at 40km/h  and ship B is sailing…

A:

Q: A girl starting at 11 A.M., travels east at 4 km/hr while a boy, starting at noon from the same…

A:

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: 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: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

A:

Q: 4. One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

A:

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: Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of…

A: Earthquake A be the larger earthquake and earthquake B be the smaller one. The difference in the…

Q: Two cars start moving from the same point. One travelssouth at 60 mih and the other travels west at…

A:

Q: At noon,ship a is 130 km west of ship b.Ship a is sailing east at 25 km/h and ship b is sailing…

A:

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: 14.1 A plane 300ft from the earth is flying east at the rate of 120 miles/hour. It passes directly…

A:

Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

A: Since there is no image for flow in the tanks, i use only the given equation with initial values.

Q: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship…

A:

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

A: (In this figure, P is the point mentioned in the question, which is at some distance from ship A and…

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

A:

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: Consider the following:

Q: OH NO!! CERTAIN DOOM: Car A is traveling west at 50 mi/hr and car B is traveling north at 60 mi/hr.…

A:

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…