1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32 kph faster than the other. If they passed each other at the end of an hour and 12 minutes, what was the rate of the faster plane? (ANS. 416 kph)

Q: f. A truck travelling southwards at 40 kph and a car traveling eastward at a rate of 60 kph are…

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Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: 4. The distance travelled by a man driving at the rate of 60 kph

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Q: Suppose that a shallow earthquake occurs in which the P waves travel 8 km/sec and the S waves travel…

A:

Q: 1. The frequency of a vibrating string under constant tension is inversely proportional to its…

A: The answer is given as follows.

Q: A vehicle purchased for $32,500 depreciates at a constant rate of 5% per year. Determine the…

A: purchased cost of vehicle=$32,500Rate of depreciation=55 per yearNumber of years after purchased =10…

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…

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A: Consider the formula for the average speed.Average speed is overall distance covered over the period…

Q: A truck travelling southwards at 40kph and a car traveling eastward at a rate of 60kph ar headed for…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

A:

Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: 4.) The area of a triangle varies jointly as its base and height. A triangle with a base of 9 cm and…

A: Concept:

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: A man starts walking north at 4 fts from a point . Fiveminutes later a woman starts walking south…

A:

Q: if water rises 1/2 inch in 3/7 of a week in a water reservoir, at what rate is the water rising per…

A:

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: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

Q: If you travel one mile in 59 seconds, what is your approximate average speed? What is your exact…

A: Since, it is given that if we travel one mile in 59 seconds, then our aimis to tell the average…

Q: The lengths of the edges of a cube are increasing at a rate of 9 ft/min. At what rate is the surface…

A: Total surface area of cube S = 6x2 Where x is length of the side of cube. we have given x = 19 ft.…

Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

Q: In the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A: Resistance R ∝ 1/D2 R = k/ D2; where k is the proportionality constant. A wire 0.01 inches in…

Q: If the volume of a cube is increasing at a rate of 24 in'/min and each edge is increasing at 2…

A: The volume of cube is given by V=a3 where a edge of cube. Given that volume of cube increasing at a…

Q: (d) If the ornithologists observe that birds of a certain species reach the shore at a point 3 km…

A:

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: 2. A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at10…

A: From the given data , Man walks across a bridge in one second AC=5 feet and boat passes in one…

Q: It is known that a cable with a​ cross-sectional area of 0.80sq in. has a capacity to hold 2500 lb.…

A: Area measures the surface of a simple closed region. The units of area are the square of the units…

Q: A runner starts at the beginning of a runners' path and runs at a constant rate of 5 mi/hr. Fifteen…

A: First, we need to calculate the relative speed which is, the difference between the speed of the…

Q: udent is walk

A: Here it is given that,  A student is walking towards the foot of a flagpole 20 meters high at the…

Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: If the sides of a square increase in length at a rate of 3 in/s, then the rate of change of the…

A: Let the side length of a square be x Now, Side length increases at a rate of 3in/s. That is, dxdt=3…

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: The length of the horizontal leg of a right triangle is increasing at a rate of 3 ft/sec, and the…

A: Given A right triangle  horizontal leg = 7ft vertical leg = 1ft

Q: 14. If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at…

A: To find the rate

Q: 8. If the temperature on the fourth day of the month is 70 degrees Fahrenheit and 62 degrees by the…

A:

Q: A cube's volume increases at a rate of 108 ft3/min. At what rate is the cube's edge length changing…

A:

Q: Assume the rate at which the zombies spread is jointly proportional to the number of encounters…

A: Given: Let the total number of student is 300 in the campus.

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: The number of germs in a certain culture increases at a rate proportionai to the number present. If…

A: Given that, the number of germs in a certain culture increases at a rate proportional to the number…

Q: If a 250 meters long train is traveling at an average speed of 60 kph, how long it would take that…

A: According to the question, Speed of train 60 kph To convert the speed of train in meter per second,…

Q: Given 100 grams of bacteria that decreases at a rate of 1/2 per year. What would be an appropriate…

A: Initial value: 100, Rate: 1/2 per year(decreases). So, the population equation is p(t)=100e-12t…

Q: 7, If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A:

Q: 3. A certain boat traveled 32 kilometers along with the current and 16 kilometers against the…

A: Given : Kilometer traveled along the current= 32 Kilometer traveled aginst the current = 16 Rate of…

Q: A boat takes 2/3 as much time to travel downstream from C to D, as to return, If the rate of the…

A: A boat takes 2/3 as much time to travel downstream from C to D, as to return. If the rate of the…

Q: A life raft, set adrift from a sinking ship 150 miles offshore, travels directly toward a Coast…

A: Time , distance and speed is related using a formula time=distancespeed .At the same time , both the…

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 culture of bacteria grows at a rate that is proportional to the present number. It is found that…

A:

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