A jet plane traveling at 570 mph overtakes a propeller-driven plane that has had a 2 h head start. The propeller-driven plane is traveling at 190 mph.How far from the starting point does the jet overtake the propeller-drivenplane?

Q: A cattle train left the station and traveled toward the fueling station at an average speed of 18…

A: The equation that describes the relationship between the distance, time and speed can be defined as:…

Q: Two buses leave Detroit at the same time traveling in opposite directions. One bus travels at 59mph…

A:

Q: A kilometer is a bit more than .62 miles. If the speed limit along the stretch of a highway in…

A: Given that the speed limit along the stretch of a highway in Canada is 90 kph.

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

A:

Q: The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 10 miles…

A: To find the number of revolutions per minute of turning wheel.

Q: A cross-country runner jogs at a rate of 15 feet per second. If she runs 300 feet from A to B, 450…

A: Speed of the runner is 15 feet per second. Total distance travelled is, Distance from A to…

Q: A train travelling at a uniform speed for 360 km. Would have taken 48 minutes less to travel the…

A:

Q: Two airplanes leave an airport at the same time, one going northwest (bearing 135°) at 414 mph and…

A: Given that two airplanes leave an airport at the same time, one going northwest (bearing 135°) at…

Q: A small radio transmitter broadcasts in a 46 mile radius. If you drive along a straight line from a…

A:

Q: On a 130 mi trip, a car traveled at an average speed of 55 mph and thenreduced its speed to 40 mph…

A: Let ‘t’ be the number of hours for 55 mph and (2.5 – t) hours for 40 mph.

Q: A small radio transmitter broadcasts in a 27 mile radius. If you drive along a straight line from a…

A: According to questionA small radio transmitter broadcasts in a 27 mile radius.

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A:

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: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

A: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

Q: A small radio transmitter broadcasts in a 29 mile radius. If you drive along a straight line from a…

A: Given  Radius=29 miles  North of the transmitter=39 miles  East of the transmitter=32 miles

Q: as a result of adverse winds the average speed of a hydrofoil on the return leg of a 180 mile round…

A: Let x be the average speed of the hydrofoil on going out x-15 is the average speed of the hydrofoil…

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

A:

Q: Usain Bolt can run at a speed of approximately 33 ft per second. Trea Turner can run at a speed of…

A: Given Information -  Speed of Usain Bolt = 33 ft per sec Speed of Turner = 30 ft per sec If both…

Q: A small radio transmitter broadcasts in a 42 mile radius. If you drive along a straight line from a…

A: Given,Radius = 42 miles So, the equation of the circlex2 + y2 = 422           …… (1)Transmitter at…

Q: A candy distrubator needs to mix a 20% fat-content chocolate with a 50% fat-content chocolate to…

A: Given- 20% fat-content chocolate needs to mix with a 50% fat-content chocolate to create 100…

Q: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x <…

A: It can go 600/x miles in 1 gallon. And cost  of 1 gallon is 2.80.So cost for (600/x) miles =…

Q: long would it take to board all 150 passengers?

A:

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: The distance between two cities is 1700 km. How long will it take, in h, to drive from one city to…

A: given :-  distance  = 1700km speed      = 63mi/h                 = 63 X  1.609km/n

Q: A grasshopper can jump 40 times its length. If jumping ability in humans​ (height) were…

A:

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A: Given data:     The given radius is: r=31 miles. The given north point is: a=41 miles. The given…

Q: A small radio transmitter broadcasts in a 38 mile radius. If you drive along a straight line from a…

A: Given: Radius of radio transmitter broadcasts=38 miles and you drive along a straight line from a…

Q: The diameter of the front wheels of a tractor is 0.8 m and the diameter of the back wheels is 1.1 m.…

A:

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

A:

Q: If the raindrop is initially 500 m above the ground, how long does it take to fall? Find the

A:

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. Enter the answer,…

A: We have to find out how many miles the space ship travelled.

Q: A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a…

A: Given:   Assuming transmitter is located (0, 0). From a city 37 miles north of the transmitter (0,…

Q: An ant crawled from home to a flower at an average speed of 10 feet per minute, and then crawled…

A: Let the one way trip from home to the flower is x feet. Given that the speed while going from home…

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: An accident investigator measured the skid marks of one of the vehicles involved in an accident. The…

A:

Q: A truck leaves a depot at 11 A.M. and travels at a speed of 45 mph. At noon,a van leaves the same…

A: Let after x hours when the van starts it will overtake the truck.  We will use the formula:…

Q: A rack climber starts at an e ation 630 feet abowe sea level and descends to a point 180 feet lower…

A:

Q: A small radio transmitter broadcasts in a 44 mile radius. If you drive along a straight line from a…

A:

Q: If a train travels 372 miles In 4 hours with a constant speed, how far did the train travel in one…

A: The Formula for velocity is  Velocity(speed):- (Distance)/(Time) Here Train travels 372 miles which…

Q: An airplane flies with a constant speed of 3а. 840 km/h. How long will it take to travel a distance…

A: In this question, concept of speed is used. Speed The rate at which an object travels a certain…

Q: A small radio transmitter broadcasts in a 47 mile radius. If you drive along a straight line from a…

A: Given data:     The given radius is: R=47 miles. The given north point is: a=54 miles. The given…

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: Two resistors are wired in parallel, one of which is 100 ohms. If the total resistance is supposed…

A: The value of the second resistor needs to be 400 ohms.

Q: A Pontiac Grand Am enters the turnpike traveling at 50mph. One-half hour later, a Ford Mustang…

A:

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: A car is driving at 40 Kilometers per hour. How far, in meters, does it travel in 2 seconds?

A:

Q: A builder sells an 1,800 ft2 home for $117,000. What would be the price (in dollars) of a 2,600 ft2…

A: A builder sells an 1,800 ft2 home for $117,000. To find the price (in dollars) of a 2,600 ft2 home…

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.