A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between the kid and the kite changing 5 minutes later?

Q: A5 feet 6 inches tall man is walking away from a lamppost at a rate of 2 ft/sec. If the lamppost is…

A: We have, A 5 feet 6 inches (5.5 feet) tall man is walking away from the lamppost of height 12 feet…

Q: A rocket is 4 miles above the earth in 10 minutes and 8 miles above the earth in 15 minutes What is…

A: Given: A rocket is 4 miles above the earth in 10 minutes and 8 miles above the earth in 15 minutes.

Q: A red truck moving 100 km/h overtakes a 1.5 km long train moving in the same direction on a track…

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Q: A machine that drills holes for wells drilled to a depth of -72 feet in one day (24 hours). If the…

A: A constant rate signifies that the work done during each moment of is same. Equations can be formed…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

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Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: Recall the equation connecting the three variables of speed, distance and time as: time = distance /…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

A: we know square area, A = a2  , where a = side of square  To find the solution , we will…

Q: A soccer ball is kicked at a speed of 60 mph towards another player. The player runs towards the…

A: Velocity of ball = VA = 60 mphVelocity of Player = VB = 6 mphRelative Velocity should be found ?

Q: At 1:00 p.m.., oil begins leaking from a tank at a rate of (4 + 0.75t) gallons per hour. , answer…

A: At 1:00 p.m.., oil begins leaking from a tank at a rate of (4 + 0.75t) gallons per hour. , Let time…

Q: A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.

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Q: If a fan does not catch the T-shirt, after how many seconds will the T-shirt hit the ground?

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Q: A man 5.5 feet tall is walking at a rate of 4 feet/sec away from a light that is 24 feet above the…

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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: 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: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

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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: A family was taking a trip of 225 miles. On the way home, they were able to drive 5mph faster and…

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Q: At noon, ship A is sailing north at a speed of 7mph, at the same time ship B, 5 miles west of ship…

A: Given, at noon, Ship A is sailing north at a speed of 7mph. At the same time, Ship B, which is 5…

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: a student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

A: A student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

Q: A boat travels 20 km upstream in a river in the same period of time as it takes to travel 30 km…

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

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Q: The radius of the wheel of a car is 15 inches. If the wheel is the rate of 3 revolutions per second,…

A: Given the radius of the wheel of a car is 15 inches and the wheel is turning at the rate of 3…

Q: The surface area of a cube is increasing at a rate of 349.9 cm/s. At what rate is the side length of…

A: We have to find the rate of change in side

Q: A van starts off 152 miles directly north from the city of Springfield. It travels due east at a…

A: The distance between the van and the city of Springfield is 152 miles in the north direction. The…

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate (in cm2/s) is the area of the…

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Q: If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his…

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Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

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Q: As the average speed increases, what happens to the number of hours that it takes to bike the 20…

A: Average Speed = total distance travelled / total time taken

Q: The London Eye is a Ferris wheel in London, England, that travels at a speed of 0.26 meter per…

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Q: A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of…

A: Solution:

Q: If a car is traveling at 89.7mph, how fast is that in mm/s?

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Q: Billy Joe Mccallister jumped off the Tallachatchie Bridge, 70 ft above the water with a bungee cord…

A: At the initial point t=0, then he was 70 ft high. After 2 seconds he was 6 ft high.

Q: Light travels at a rate of 186,000 miles per second. If our moon is 238,860 miles from Earth, how…

A: We know, Speed = DistanceTime ⇒ Time = DistanceSpeed

Q: A 22-inch candle burns down in 11 hours. At what rate does the candle burn, in inches per hour?

A: Given a  234-inch candle burns down in 11 hours. We have to find the rate at which the candle burns,…

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

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Q: The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is…

A: Given : The speed of a bicycle is 4.5 m/s

Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

Q: A worker bee flies of a mile in of an hour. At this rate, how far can the bee fly in 1 hour?

A: given that a worker bee flies 58 of a mile in 116  of an hour find out how far the bee can fly in an…

Q: The distance a ball rolls down an inclined plane is directly proportional to the square of the times…

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Q: Find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet…

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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…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A:

Q: a hot air balloon was rising at a rate of 494 feet per minute convert this speed to meters per…

A: This is simple conversation we will convert both according to given data.

Q: } One leg of a right triangle is increasing at a rate of 2 inches per second while the otner stays…

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Q: If the diameter of a piece of candy was initially 26 mm and after 30 minutes it measured 5mm, what…

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Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: Given data: Consider the distance traveled by a body is "y=144 ft", and time is "t". As per the…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm²/s) is the area of the…

A: RECALL: Area of the square , A= a2 ; where 'a' is the side of the square. Volume of the cylinder,…