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Word Problems: Travel and Distance

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Question 156126: In his first time at bat in a game at Fenway Park, Cecil Fielder hits a baseball toward left center field. The distance, d, and the height, h, can be modeled by the equation h = -.002d2+ .18d + 4.
a) What is the highest point the ball reaches?

b) How far from homeplate is the ball when it reaches its highest point?

c) Which player is more likely to catch the ball, the shortstop or the center fielder?

Click here to see answer by Earlsdon(4898)

Question 156130: In his second time at bat, the equation h= -.0015d2+ .5d + 4 can be used to model the path of the ball hit by Cecil Fielder. The ball is hit toward the portion of the left field wall that is 347 ft from home plate.

a) The left field wall at Fenway Park is 37 ft high. Did he hit the ball over for a home run? Explain.

b) Along the the third base line, the wall is 315 ft from home plate. Assume that the angle between the third base line and the wall is a right angle. Find the angle between the third base line and the path of the ball.

Click here to see answer by ankor@dixie-net.com(6689)

Question 156207: Mike and Colin run around a track a 450 meter track in opposite directions. They start at the same point and start at the same time. Mike's speed is 2.0 m/s and Colins speed is 2.5 m/s. How far will colin run when they meet?
Click here to see answer by checkley77(7032)

Question 156279: One car travels 60mph and another one travels 45mph. If they start from the same place at the same time and travel in the same direction, after how many hours will the faster car be 50 miles ahead of the slower car?
Click here to see answer by jojo14344(1483)

Question 156327This question is from textbook Algebra and Trigonometry Structure and Method Book 2
: a plumber charged $110 for three-hour job and $160 for a five-hour job. At this rate, how much would he charge for an eight-hour job?This question is from textbook Algebra and Trigonometry Structure and Method Book 2

Click here to see answer by gonzo(654)

Question 156552: Need help with setting up formula for: An express train is 19mph faster than a freight train. The express train travels 420 miles in the same time that it takes the freight train to travel 300 miles. Find the speed of each train.
Click here to see answer by oscargut(682)

Question 136775: If a car travels 20 km per hour between two cities. How fast must the car travel to average 40 km per hour for the round trip
Click here to see answer by Alan3354(6053)

Question 156526This question is from textbook Sullivan, college algebra
: Q25- A motorboat can maintain a constant speed of 16 miles per hour relative to the water.The boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes.What is the speed of the current?
Q33- Working together on a job. Trent can deliver his newspapers in 30 minutes.It takes Lois 20 minutes to do the same rout.How long would it take them to deliver the newspapers if they work together This question is from textbook Sullivan, college algebra

Click here to see answer by ankor@dixie-net.com(6689)

Question 156546: Two trains are traveling toward each other and are 950 miles apart. One plane is flying at 170 mph .The other is flying at 210 mph. In how many hours will the planes pass each other?
Click here to see answer by checkley77(7032)

Question 156545: A train left mooseport traveling west at 50mph.One hour later , another train left Mooseport traveling east at 70 mph. How many hours had the first train been traveling when they were 350 miles apart?
Click here to see answer by checkley77(7032)

Question 156525This question is from textbook Sullivan, college algebra
: Q25- A motorboat can maintain a constant speed of 16 miles per hour relative to the water.The boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes.What is the speed of the current?
Q33- Working together on a job. Trent can deliver his newspapers in 30 minutes.It takes Lois 20 minutes to do the same rout.How long would it take them to deliver the newspapers if they work together This question is from textbook Sullivan, college algebra

Click here to see answer by checkley77(7032)

Question 156573This question is from textbook
: The height h, in feet of a baseball above the ground t seconds after it is hit, is given by h= -16t^2 + 50t +4.5
Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.
Show all of your algebra work.This question is from textbook

Click here to see answer by gonzo(654)

Question 156507: A moving van leaves the house traveling at an average rate of 35 mi/h. The family leaves the house 3/4 hour later following the same route in a car. They travel at an average rate of 50 mi/h.
a. write an expression for the time traveled by the car.
b. copy and complete this table:
moving van - rate: _____ time:_____ distance traveled: _____
car rate: _____ time:_____ distance traveled: _____
c. write and solve an equation to find out how long it will take the car to catch up with the moving van.
Click here to see answer by josmiceli(3003)

Question 156604This question is from textbook
: A train travelled at m mi at a speed of s mph. A bus followed the same rout travelled 5 mph slower. How much longer did the bus take than the train to make this trip? Write the answer as a singla rational expression.This question is from textbook

Click here to see answer by stanbon(26252)

Question 156603This question is from textbook
: A train travelled at m mi at a speed of s mph. A bus followed the same rout travelled 5 mph slower. How much longer did the bus take than the train to make this trip? Write the answer as a singla rational expression.This question is from textbook

Click here to see answer by nerdybill(2446)

Question 156637This question is from textbook Prentice Hall Mathematics Algebra 2
: 30) Two planes left an airport at noon. One flew east at a certain speed and the other flew west twice the speed. The planes were 2700 mi (miles) apart in 3 h (hours). How fast was each plane flying?
50) Michael drove to a friend's house at a rate of 40 mi/h (miles per hour). He returned by the same route at a rate of 45 mi/h. The driving time for the round trip was 4 h (hours). What is the distance Michael traveledThis question is from textbook Prentice Hall Mathematics Algebra 2

Click here to see answer by stanbon(26252)

Question 156654: On a 255-mile trip, Gary traveled at an avg. apeed of 70mph, got a speeding ticket, and then traveled at 60mph for the remainder of the trip. If the entire trip took 4.5 hours and the speeding ticket stop took 30 minutes, how long did Gary speed before getting stopped? I tried using various formats of distance=rate x time and couldnt figure anything out to set up an equation.
Click here to see answer by scott8148(3382)

Question 156743: the fast freight train made the trip in 6 hours. The next day the slow freight train made the same trip in 8 hours. What was the speed of the slow freight train if the fast freight train traveled 20 mph faster than the slow freight train?
Click here to see answer by nerdybill(2446)

Question 156854: a car is traveling at a speed of 55 miles per hour. you want to write an algebraic expression to show how far the car will travel in a certain number of hours. what will be your constant? your variable?
Click here to see answer by Earlsdon(4898)

Question 156846This question is from textbook
: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. One of the pipes can fill the pool itself in 2 hours. How long will it take the other pipe to fill the pool itself?This question is from textbook

Click here to see answer by ankor@dixie-net.com(6689)

Question 156861This question is from textbook
: Two runners leave the starting gate, one running 12mph and the other 10mph. If they maintain the pace, how long will it take for them to be 1/4 mile apart? This question is from textbook

Click here to see answer by Alan3354(6053)

Question 156837: trains a and b sre traveling in the same direction on parallel tracks. train a is traveling at 40 mile per hour and train b is traveling at 60 miles per hour. train a passes a station at 5:25pm. if train b pass the same station at 5:37pm what time will train b catch up to train a
Click here to see answer by checkley77(7032)

Question 156928: A bus traveled 2 hours at a certain speed, then decreased the speed by 20 miles/hr and traveled for 3 more hours. If the total distance traveled is estimated between 250 miles and 330 miles, find the range of the initial speed of the bus.
Click here to see answer by gonzo(654)

Question 156995: Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
Click here to see answer by gonzo(654)

Question 157006: Romeo first saw Jliet when she was 87 meters away.He started running towar him at a rate of 4m/s. How many seconds after Romeo first saw Juliet did they meet?
Click here to see answer by jojo14344(1483)

Question 157162This question is from textbook Algebra 1
: Mr. Anders and Ms. Rich each drove home from a business meeting. MR. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hours. In how many hours were they 100 kilometers apart.
I come up with 1.5 hours by dividing 180 by 100. Not sure this is correct. Please help. Thanks.This question is from textbook Algebra 1

Click here to see answer by ptaylor(1578)

Question 157144: Frank rides his bike 4 mph faster than he walks. He can bike from home to work in thesame amount of time that it takes him to walk from home to the park. If the distance from Frank's home to work is 10 miles and the distance from his home to the park is 2 miles, what is Frank's walking speed?
Click here to see answer by ankor@dixie-net.com(6689)

Question 157280: A train left mooseport travelling west at 50mph. One hour late, another train left mooseport traveling east at 70mph. In how many hours had the first train been traveling when they were 350 miles apart?
Click here to see answer by jojo14344(1483)

Question 157291: Every day Tim drives to work. One Monday morning, with heavy traffic, Tim averaged 30 miles per hour on the way in, and 50 miles per hour on the way home. What was Tim’s average speed for the entire trip?
Is it possible to determine how far Tim drives to work? Explain.

Click here to see answer by midwood_trail(310)

Question 157290This question is from textbook Prentice Hall Algebra 1
: two planes leave simultaneously from an airport, one flying east and the other west. they are 870 mi apart after 3/4 h. if the eastbound plane averages 120 mi/h more than the westbound plane, at what rate is each plane flying?This question is from textbook Prentice Hall Algebra 1

Click here to see answer by midwood_trail(310)

Question 157259: An ambulance averaged 36 km/h going to an accident and 48 km/h on its return to the hospital. If the total time for the round-trip was 40 mins, including 5 min at the accident scene, how far from the hospital was the accident?
Click here to see answer by checkley77(7032)

Question 157346This question is from textbook Beginning Algebra
: Alan and Dave Schaferkotter leave from the same point driving in opposite directions, Alan driving at 55 miles per hour and Dave at 65mph. Alan has a one-hour head start. How long will they be able to talk on their car phones if the phones have a 250-mile range?This question is from textbook Beginning Algebra

Click here to see answer by jojo14344(1483)

Question 157256: A moving walkway at an airport is 65.0 m long. A child runing at a constand speek takes 20.0 s to run along the walkway in the direction it is moving, and then 52.0 s to run all the way back. What are the speed of the walkway and the speed of the child?
Click here to see answer by ankor@dixie-net.com(6689)

Question 157419This question is from textbook Pre-Algebra
: I need help with trying to figure out this problem:
OCEAN TRAVEL
At noon, a passenger ship and a freighter left a port traveling in opposite directions. By midnight, the passenger ship was 3 times farther from the port than the frieghter was. How far was the freightner from port if the distanc between the ships was 84 miles?This question is from textbook Pre-Algebra

Click here to see answer by gonzo(654)

Question 157468: I'm sorry to ask this questions. I can't figure any formula to solve this questions.This problem is from College Algebra, a private book from one of the universities here in the Philippines.Thank you for any answer.
Here are the problems.
1) The current of water is 8 KPH. The boat travels 2/3 of the time downstream from point C to D.The boat travels downstream from point D to C. Determine the rate of the boat in still water in KPH.
I think the question is wrong.the part of question "the boat travels downstream from point D to C made me really confused.I will appreciate any help from you.
2) A boatman rows to a place 48 miles distant and back in 14 hours, but find that he can row 4 miles with the stream in the same time as 3 miles against the stream.Find the rate of the stream.

Click here to see answer by gonzo(654)

Question 157515: A person walks at 3.5 mi/h, for a total of 10 meters. How long did it take him?
Click here to see answer by Alan3354(6053)

Question 157512: A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does to go downstream 360 miles. How fast is the current?
Will someone please explain this to me?
Click here to see answer by ptaylor(1578)

Question 157522: Students are traveling in two cars to a football game 135 miles away. The first car leaves on time and travels at an average speed of 45 mph. The second car starts 1/2 hour later and travels at an average speed of 55 miles per hour. At these speeds, how long will it take the second car of students to catch up to the first car?
Click here to see answer by josmiceli(3003)

Question 157574: A hiker hikes up a mountain 1mph slower than she hikes down the mountain. If it takes her 1.5 hours to hike up the mountain, and only 1 hour to hike down it, how fast does she move each direction?
Click here to see answer by checkley77(7032)

Question 157582: here's my problem:
a jet plane traveling at 500 mph overtakes a propeller plane traveling at 200mph that had a 2-hour head start. how far from the starting point are the planes?

Click here to see answer by checkley77(7032)

Question 157591This question is from textbook
: an airplane takes off from an airport at 7:00 A.M. traveling at a rate of 350 mi/h. two hours later, a jet takes off from the same airport following the same flight path at 490 mi/h. in how many hours will the jet catch up with the airplane?This question is from textbook

Click here to see answer by josmiceli(3003)

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