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Word Problems: Travel and Distance

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Question 110994: In a race, Car A starts 1 mile behind Car B. Car A is traveling at 55 mph, while Car B is traveling at 40 mph. How long will it take for Car A to overtake Car B?
Click here to see answer by checkley71(8405)

Question 111163: Meseret Defar of Ethiopia won the women's 5000-m race in the 2004 Olympics with a time of 14.761 min. What was her rate (to three decimal places)?
Click here to see answer by dolly(163)

Question 111165: A boat can go 20 mi against a current in the same time that it can go 60 mi with the current. The current is 4 mph. Find the speed of the boat in still water.
Click here to see answer by dolly(163)

Question 111213: I can get about half way on this need a little assistance completing.
Problem is.....
Two airplanes are leaving O'Hare at the same time, one bound for New York and the other for California. The one heading to Califorina as a tail wind and is thus going 25 MPH faster than the one headed to New York. If after one hour they are 575 miles apart, what are their speeds?
What I have so far.....
x^2+y^2=575^2,x^2(x^2+25)^2=575^2,x^2+x^2=50x+625=330,625
2x^2+50x-330,000=0, But i can not get any further and I am not sure if I did what I have so far right. Can you help please??? Thank you SO MUCH!!!
Click here to see answer by solver91311(5072)

Question 111173: Connie McNair's boat goes 12 mph. Find the rate of the current of the river if she can go 6 mi upstream in the same amount of time she can go 10 mi downstream.
Click here to see answer by solver91311(5072)

Question 111172: An airplane maintaining a constant airspeed takes as long to go 450 mi with the wind as it does to go 375 mi against the wind. If the wind is blowing at 15 mph, what is the speed of the plane in still air?
Click here to see answer by checkley71(8405)

Question 111446: Hello
While traveling at a constant speed in a car, the cintrifical acceleration passengers feel while the car is turning varies inversly as the radius of the turn. if the Passengers feel an acceleration of 9 feet per second when the radus of the turn is 60 feet, find the acceleration the passengers feel when the radius of the tun is 180.
HELP ME PLEASE!!!
Algebra1
Click here to see answer by Earlsdon(4898)

Question 111642: This is the question: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
For some reason and I am stumped. I don't know if I'm not reading it correctly, or if I'm missing information.
Can you help?
Thanx, Gerri

Click here to see answer by checkley71(8405)

Question 111616: A student walks and jogs to college each day. She averages 5km/h walking and 9km/h jogging. The distance from home to college is 8kn, and she makes the trip in 1 hr. How far does the student jog?
Click here to see answer by ptaylor(1578)

Question 111750: Could you please help me with the following problem. Thank you in advance.
An overzealous student burns the candle at both ends. One night he lights
the top and the bottom of a 10 inch candle at the same time. If the top
flame burns at a speed of 1.4 in/hr. and the bottom flame burns at a rate
of 2.1 in/hr., how far from the top do the flames meet?

Click here to see answer by ankor@dixie-net.com(6686)

Question 111856This question is from textbook Beginning Algebra
: A small model plane travels 5 miles with the wind in the same amount of time as it takes to go 2 miles against the wind. The plane can travel 3 miles per hour in still air. Find the speed of the wind.This question is from textbook Beginning Algebra

Click here to see answer by checkley71(8405)

Question 111836: Science and medicine. A plane flies 720 mi against a steady 30-mi/h headwind
and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane’s speed in still air?

Click here to see answer by scott8148(3382)

Question 111855This question is from textbook Beginning Algebra
: A boat goes 6 miles per hour in still water. It takes as long to go 40 miles upstream as it does to go 80 miles downstream. Find the speed of the current.This question is from textbook Beginning Algebra

Click here to see answer by checkley71(8405)

Question 111835: Science and medicine. A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train, find the speed of each.
Click here to see answer by checkley71(8405)

Question 111881: Could you please help me solve this problem. Thank you in advance.

An object moved in one direction for 8 seconds at a constant speed. It
reversed direction for 3 seconds with its rate doubled and then reversed
direction again for 1 second at 40% of its initial speed. Find the three
speeds if the object was 9.6 m from its start at the end of 12 seconds.

Click here to see answer by scott8148(3382)

Question 111882: Could you please help me solve this problem. Thanks in advance.

In a Grand Prix automobile race, Rapid Robert averaged 90 mph for the
first half of the course and 110 mph for the second half of the course.
Steady Eddy maintained a constant speed of 100 mph throughout the race.
Who won the race?

Click here to see answer by scott8148(3382)

Question 111934: This is a science and medicine.
A bicyclist rode into the country for 5h. In returning , her speed was 5mi/h faster and the trip took 4h. What was her speed each way?
Would the answer be 20mi/h and 25mi/h?
Thank you,
Barb Neely
Click here to see answer by bucky(1732)

Question 111939: At 6:00 A.M. a Pony Express rider leaves San Antonio for Las Cruces. His horse travels at 10 miles per hour. A second Pony Express Rider leaves at 9:00 A.M. with the sole purpose of giving an additional package for the first Pony Express rider to deliver. The second rider’s horse travels at 18 miles per hour. At what time will the second Pony Express rider catch up to the first Pony Express rider.
Click here to see answer by ankor@dixie-net.com(6686)

Question 112137: two ships leave a harbor traveling on courses that have an angle of 120 degrees between them. if they each travel 515 miles how far apart are they (to the nearest mile)?
Click here to see answer by edjones(3291)

Question 112208: Two cars leave town at the same time going in opposite directions. One of them travels at 55 mph and the other at 65 mph. In how many hours will they be 150 miles apart?

Thank you for your help... i'm not to sure how to get this problem started.
Click here to see answer by BrittanyM(80)

Question 112216: A rectangular swimming pool is 4ft longer than it is wide. It is surrounded by a deck 3ft wide. Find the dimensions of the pool if the area of the deck is 264ft^2.
Click here to see answer by checkley71(8405)

Question 112317: An express train and a local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
Click here to see answer by checkley71(8405)

Question 112335: A family makes a 43.25 km trip in 5.5 hours. On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h. For the rest of the trip, they hiked on a scenic trail. If their average walking speed was 5 km/h, how far did they walk?
Click here to see answer by checkley71(8405)

Question 112212: Duane DeSink drove his car to the farm at 54 mph. He returned home by motorcycle at 36mph. The entire trip took 4 hours. How far was the farm from Duane's home?
Click here to see answer by ptaylor(1578)

Question 112211: a train leaves a station and travels east at 72km/h. three hours later a second train leaves on a parallel track and travels at 120km/h. When will the second train overtake the first train?
Click here to see answer by ptaylor(1578)

Question 112210: a train leaves a station and travels east at 72km/h. three hours later a second train leaves on a parallel track and travels at 120km/h. When will the second train overtake the first train?
Click here to see answer by ptaylor(1578)

Question 112477: Flying with the wind a plane flew 1800 mi. in 3 hours. Against the wind, the plane required 5 hours to fly the same distance. Find the rate of the plane in calm air.
Click here to see answer by ptaylor(1578)

Question 112556: Two cars start at one point and travel in the same direction at average speeds of 40 miles per hour. How much time must elapse before the two cars are 5 miles apart?
Click here to see answer by ankor@dixie-net.com(6686)

Question 112736: A trip to New York from Boston will take 4 1/2 hours. Assuming we are 2/3 of the way there, how much longer will the trip take?
Click here to see answer by ashleydav(2)

Question 112737: Al, Ronda, and Rony enter into a partnership. Al owns 1/4 of the company and Ronda 1/8. Calculate what part is owned by Rony.
Click here to see answer by SHUgrad05(58)

Question 112741: The price of a new car increased by 2/3 over the last 5 years. If the original price of the car was $6,000, what is the new price today?
Click here to see answer by ashleydav(2)

Question 112722: the word problem i am having trouble completing has different distances, and that is where i get confused. Thank you so much, in advance
A cyclist travels 20 miles in the same amount of time as it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster than the rate of the hiker. Find the rate of the cyclist and the rate of the hiker.
Click here to see answer by ptaylor(1578)

Question 112878: This was originally a test question that I tried to figure out. The answer is 160 miles per hour. I just need to know how they got it because I can't. Thank you.
A plane flew 480 miles at a certain speed; and then increased its speed by 20 miles per hour, and continued on the same course. After having flown a total distance of 840 miles in a total of 5 hours, it landed. What was the original speed of the plain?
Click here to see answer by scott8148(3382)

Question 112577This question is from textbook Introductory Algebra

: 61. The length of a rectangle is three times the width. If the width were increased by 3 m while the length remained the same, the new rectangle would have an area of 30 m square. Find the length and width of the original rectangle.
64. Two cars left an intersection at the same time. One traveled west, and the other traveled 14 mi less, but to the south. How far apart were they then, if the distance between them was 16 mi more than the distance traveled south?This question is from textbook Introductory Algebra

Click here to see answer by ankor@dixie-net.com(6686)

Question 112897: A rectangular garden with an area of 2050 square feet is to be located next to a barn with fencing on three sides and the barn acting as the fourth side. Write a function which gives the length of fencing needed if the length of the side parellel to the barn is x. Find the dimensions of the garden using the minimum amount of fence.
Click here to see answer by solver91311(5072)

Question 112984This question is from textbook Algebra and Trigonometry Structure and Method Book 2

: A train averaged 80 km/h for the first half of its trip. How fast must it travel for the second half of the trip in order to average 96 km/h for the whole trip?
The answer is supposedly 120 km/h, but no matter what I do I get 112 km/h!
Help would be greatly appreciated. (:This question is from textbook Algebra and Trigonometry Structure and Method Book 2

Click here to see answer by solver91311(5072)

Question 112834: Ellen and Kate raced on their bike to the library after school. They both left school at 3p.m. and biked along the same path. Ellen rode at a speed of 12 mph and Kate rode at a speed of 9 mph. Ellen got to the library 15 minutes before Kate. How long did it take Ellen to get to the library and what time did Ellen get to the library.
Click here to see answer by ankor@dixie-net.com(6686)

Question 113024: can anyone help with this?: a motorboat traveled a distance of 72 miles in 3 hours while traveling with the current. Against the curtrent the same trip took 4.5 hours. find the rate of the motorboat in calm water and the rate of the current.thanks so much!
Click here to see answer by ankor@dixie-net.com(6686)

Question 113466: Please help with this problem --> The first cyclist in a two-leg relay race rode at a speed of 40 km/h. The second cyclist rode at 30 km/h. If they completed the 170km couse in 4h50 min, how far did each cyclist ride?
Thank you so much!
Click here to see answer by ptaylor(1578)

Question 113505: Dave can hike on level ground 3 miles an hour faster than he can on uphill terian. yesterday, he hiked 29 miles, spending 2 hours on level ground and 5 hours on uphill terrian. find his average speed on level ground.
help me please
Click here to see answer by scott8148(3382)

Question 113582: mario paddled his caneo upstream for 3 hours. when he turned around and paddled back to his starting point, it took him only 1 hour. if the river flows at a speed of 3 miles per hour, how fast could mario paddle his canoe in still water?
Click here to see answer by stanbon(26251)

Question 113760This question is from textbook Algebra Structure and method

: At noon a private plane left Austin for Los Angeles,2100km away, flying at 500km/h. One hour later a jet left Los Angeles for Austin at 700km/h. At what time did they pass each other?
Here is what I have so far.I am not sure how to do this
2100=500(t+60)-700(t-60)This question is from textbook Algebra Structure and method

Click here to see answer by stanbon(26251)

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