2. A modern jet plane can go 400 mph more than twice as fast as a diesel powered train. If the train can run 165 miles in the same time that the plane can fly 1210 miles, find the rate of each.

Q: 2. A train traveling at 30 miles per hour reaches a tunnel which is nine times as long as the train.…

A:

Q: If a car travelled 5 Kilometers an hour faster. it would take one hoür less to travel 210…

A: Let the original speed be x.Then, increased speed will be x+5Time taken with increased speed =…

Q: A bus is traveling at a constant speed. If the bus travels 15 1/2 miles in a 1/3 of an hour, how…

A: Given that the bus travels 1512 miles in a 13 of an hour.So the…

Q: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist…

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster…

Q: d) An 800-liter tank is half full of water is being filled with water pumped at the rate of 45…

A: We have, an 800-liter tank is half full of water and is being filled with water pumped at the rate…

Q: Tanya, who is a long-distance runner, runs at an average speed of 8 miles per hour (mi/h). Two hours…

A: Let: t = Honda's travel timethen(t+2) = Runner's travel time Honda's dist = runner's dist…

Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: he amount of charcoal a coal burner burns varies directly as the time taken for cooking. If the…

A: Given that the burner burns 600 gram in 20 minutes, then our aim is to calculate how much time does…

Q: An automobile engine can run on a mixture of gasoline and a substitute fuel. If gas costs $3.45 per…

A: We can make 10 gal of the mixture and find the percent from thatLet x = amt of 3.45 fuelthen(10-x) =…

Q: Two trains leave two different cities 1,029 miles apart and head directlytoward each other on…

A: Let it will take x hours for them to pass.  The first train has speed= 45 miles per hour.  So in x…

Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

A:

Q: Two trains start at the same time from the same place and travel in oppositedirections. If the rate…

A: Let x and x+6 (miles per hour) be the speed of the first  train and second train respectively. Then…

Q: Two buses leave a station at the same time and travel in opposite directions. One bus travels 8kmh…

A: Since buses travels in opposite direction so if xkm/hr and ykm/hr are the speed to two buses then…

Q: A bus is traveling at a constant speed. If the bus travels 15 1/2 miles in 1/3 of an hour, how many…

A: Given that the bus travels 1512 miles in 13 of an hour.So the speed=distancetime=1512 miles13…

Q: Two trains leave towns 1716 kilometers apart at the same time and travel toward each other. One…

A: The distance between two trains =1716 kilometers Let the rate of the faster train = x kilometer/hour…

Q: Two men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

A: Let after x hours they will be 300 miles apart. We are going to use the formula: Distance = Speed *…

Q: ​ truck, moving​ continuously, averages 52.5 mph for 8.75 hr. How far does

A:

Q: Two trains leave towns  471  miles apart at the same time and travel toward each other. One train…

A: Two trains leave towns 471 miles apart at the same time and travel toward each other. One train…

Q: A math camp instructor estimates that students will take 3 hours to complete the first assignment of…

A: Student takes 3 hours to complete 1st assignment . Next he takes 5% less time for the second…

Q: We breathe about 15 times per minute, and a hummingbird flaps its wings about 3,000 times per…

A: It is given that human breaths about 15 times per minutes and a hummingbird flaps its wings about…

Q: A gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver stops…

A: Given, a gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver…

Q: Two cyclists leave towns 235 kilometers apart at the same time and travel toward each other. One…

A: Question- Two cyclists leave towns 235 kilometers apart at the same time and travel toward each…

Q: What is the time needed to travel a distance of 6x^2 - 17x + 12 miles if the rate is 3x - 4?

A:

Q: Two trains leave town 905 miles apart at the same time and travel toward each other. One train…

A: Given: Two trains leave town 905 miles apart at the same time and travel toward each other. One…

Q: A hose fills a hot tub at a rate of 3.44 gallons per minute. How many hours will it take to fill a…

A: given rate of hose = 3.44 gallons per minute volume of hot tub = 342 gallons

Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

Q: n a culture of yeast, the amount of active ferment grows at a rate proportional to the amount ... If…

A: Growth given in the problem has exponential growth. If the quantity growing exponentially is denoted…

Q: two joggers set out the same time from their homes 24 miles apart. they agreed to meet at a point…

A: Given:- Two joggers set out the same time from their homes 24 miles apart.  they meet at a point in…

Q: If rain is falling at a rate of 2.47 inches per hour, how much rain would you expect after 3.5…

A: Given: Rate of falling of rain= 2.47 inches per hour and we have to find out the rain after 3.5…

Q: If you drive 270 miles and use 10 gallons of gas, what is your rate of gas consumption?

A:

Q: A bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30…

A: Given that, the bus leaves a half -hour before the car. The speed(r) of the bus is 50 miles per…

Q: As part of a conditioning program, a jogger ran 12 mi in the same amount of time as it took a…

A:

Q: A body at a temperature of 50 degree Fahrenheit is placed in an oven whose temperature is kept at…

A: toNewtonisdawAccordingof coolingdTTs-KLT-Ts)1surrounding tempis temp after itminutesdtTlt)>dT-k…

Q: A train travels,a distance of 300 km at constant speed,if the speed of the train is increased by 5…

A: Lets take the original speed of the train is, v. The time the train will take to travel 300 km at…

Q: Suppose that 20 gallons of a 20% salt solution must be mixed with 30 gallons of a 25% salt solution.…

A:

Q: To get to work, Santa jogs 3 km to the train and then rides the remaining 5 km. If the train goes 40…

A: Topic:- time and Speed

Q: If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2 - 2x + 1) hours, what is the…

A:

Q: passenger train

A:

Q: Two cars are driven at a constant speed on a test circuit. One makes a complete circuit in 84…

A:

Q: A Norfolk pine is 18 inches tall and grows at a rate of 1.5 feet per year. An airplane at an…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: two cyclists, 90 mi apart ,start riding towards each other at the same time. one cycles twice as…

A:

Q: A group of workers can plant at a rate of  10  acres per day. How many acres can they plant in  5…

A:

Q: Two runners, one averaging 8 miles per hour and the other 6 miles per hour, start at the same place…

A: Consider the given information. Make the table for the given information.   distance  rate…

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: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A:

Q: At what rate is a car traveling if it goes 157.5 miles in 2.5 hours?

A: Given ,Distance travelled by car, d=157.5 milesTime taken, t=2.5 hours

Q: If Jill josh 2 miles in 15 minutes how long will it take her to the nearest minute to jog 5 miles at…

A: Given that Jill jog 2 miles in 15 minutes. To find Time taken by the Jill to jog 5 miles at tye same…

Q: An automobile engine can run on a mixture of gasoline and a substitute fuel. if gas cost $3.40 per…

A: Let x = amount of $3.40 fuelthen(1-x) = amount of $2.00 fuel

Q: A 1 20-gallon tank initially contains 80 lbs. of salt dissolve in 90 gal of water. Brine containing…

A: From given 120-gallon tank initially contains 80 lbs of salt that dissolve in 90 gal of water. Brine…

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.