TWO CARS LEAVE AT THE SAME POINT AT THE SAME TIME IN OPPOSITE DIRECTION IF THE CARS MOVE AT RATES OF 30kph AND 25 kph,H MANY HOURS WILL THEY BE 3,500kms APART?

Q: Two cars are at an intersection. One goes east at a speed of 40 feet per second; the other goes…

A: Given Data: The speed of car 1 is: dxdt=40 ft/sec The speed of car 2 is: dydt=60 ft/sec The distance…

Q: The height of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

A:

Q: Two cars leave the same point and travel on roads that are at right angles to each other. If the…

A: Let the distance travelled in 36 minutes by the first car A travelling at 45km/h is x and distance…

Q: A balloon is rising vertically at a constant speed of 3 m=sec: A boy is cycling along a straight…

A: Given: dxdt=7 and dydt=3

Q: 30. A helicopter flies parallel to the ground at an altitude of kilometer and at a speed of 2…

A:

Q: Two cars are at an intersection. One goes east at a speed of 40 feet per second; the other goes…

A: Given The first car is 240 feet away from the intersection and the other is 360 feet away from the…

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: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: The objective is to find the rate at which base of the triangle is changing when altitude is 10…

Q: First 120 km of the road the car is moving at speed rate of 90 kph. Next one hour and 15 minutes the…

A:

Q: Two cars that started at the same point are driving away from each other. The first car is driving…

A: Given,          Two cars that started at the same point are driving away from each other. The first…

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

A:

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

A:

Q: A street light is mounted at the top of a 15 foot tall pole. A man 6 feet tall walks away from the…

A:

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

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

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Let the base of triangle be denoted by b Let the altitude be denoted by a  So, area of triangle…

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

A:

Q: Two boats leave a port at the same time: one travels west at 20 mi/hr and the other travels south at…

A:

Q: The sides of a square are increasing at the rate of 2 feet per minute each. Find the rate at which…

A:

Q: Two sides of a triangle have lengths 12 m and 15 m. The angle between them is increasing at a rate…

A: First of all we need to change the unit degree to radian. So,…

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

A:

Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included…

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between…

Q: Two radio stations are located 150 miles apart, where station A is west of station B. Radio signals…

A: Given Distance between radio stations A and B is 150 miles. Signal travelling rate is 0.2…

Q: 1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg…

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at…

Q: Two people start from the same point. One walks east at 2km/h and the other walks northeast at 3…

A: Given

Q: A child flies a kite at a height of 50 ft, the wind carrying the kite horizontally away from the…

A: Given that  A child flies a kite at a height of 50ft , the wind carrying the kite horizontally away…

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

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

Q: Two railroad tracks are perpendicular to each other. At 12:00 P.M there is a train at each track…

A: Given: Two railroad tracks are perpendicular to each other. At 12:00 P.M, two trains at each track…

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: The altitude (or height) of a triangle is increasing at a rate of 2.5cm/min while the area of the…

A: It is known that, the area of the triangle with the base b and altitude a is

Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

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

A:

Q: North at 30mph, while the other travels due East at 40mph. At what rate is the distance between the…

A:

Q: Jack and Jill start walking from the same point. Jack is walking north at a speed of 2 m/s and Jill…

A:

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A:

Q: A plane can fly 820 Km with the uwind in the Same time that it' can fly 620 Km against the wind. The…

A: We have to find the rate of plane instill air.

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: A ball is thrown vertically into the air at a velocity of 180 ft/sec. After 5 seconds, another ball…

A:

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

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: 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: A baseball diamond has the shape of a square with sides 90 feet long.  Suppose that player A is the…

A: Use Pythagoras theorem

Q: from

A:

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

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.