Questions on Word Problems: Travel and Distance answered by real tutors!

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 188297: John and Mike have been friends since school but haven't seen each other in many years, so they agree to meet one Saturday. John leaves his house at 10:00am and drives east at 50 miles per hour. Mike leaves his house at the same time and drives west at 45 miles per hour. If their houses are connected by a straight highway running east-west (no stoplights or towns in the way) and are 350 miles apart then (a) how far from John's house will they meet? (b) at what time will they meet?
Click here to see answer by ankor@dixie-net.com(15638)

Question 188366: An airplane took 2 hours to fly 600 km against head wind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane in still air.

Click here to see answer by checkley77(12569)

Question 188495: Two trains are lewaving a city on parallel tracks, travelling in the same direction. The passenger train is going twice as fast as the freight train. After 45 minutes, the trains are 180 miles apart. Find the speed of each train.
Click here to see answer by Alan3354(30983)

Question 188492: On a 570 mile trip Andy averaged 5 miles per hour faster for the last 240 miles than he did for the first 330 miles. The entire trip took 10 hours. How fast did he travel for the first 350 miles?
thanks,
these word problems are giving me a real headache and I really appreciate the help
Click here to see answer by dukesmart(20)

Question 188499: Jim walks 5mph on a steady day. On a windy day Jim walks 10 miles with the wind, and 7 miles against the wind in the same amount of time. What is the rate of the wind?
Click here to see answer by josmiceli(9658)

Question 188548: At 12 noon, Jack leaves at 53 kph to catch Jill who had a one hour head start. If Jack was still 26 km behind @ 8 pm, how fast was Jill going?
Click here to see answer by josmiceli(9658)

Question 188612: One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?
I would like you to do this problem step by step and explain because it's hard for me to understand.Thanks A lot!
Click here to see answer by stanbon(57243)

Question 188620: Any help is much Appreciated!!!! Although this is an albera site, i have calculus problems that involve alot of algrebra as well. I'm lost & have alot of homework due on monday morning. I started drawing pictures to help me, but then got confused about if I drew the picture right and don't know what to do after that.
Story Problems:
1.) A shallow barge is being drawn towards a dock by a taut (not swaggering) cable attached to the top of a dock 6ft above the deck of the barge. When the barge is 24ft away from the bottom(water level) of the dock, it is moving in the water at a speed of 3ft per second towards the dock. At this time, how fast is the cable being pulled in?

2.) Two street lights of hight L are a distance D apart. The light at the top of one is functioning but the other is being worked on by a repair person. If the repair person drops a wrench from rest at the top of the lamp pole, how fast is the wrench's shadow(made in the light of the other street lanmp) moving horizontally along the ground when it is a height, h, above the ground?
[HINT: in the absence of air resistance, conservation of energy requires that (1/2)v^2 + gh = gL where v is the downward velocity of the wrench, and g is a constant, known as the acceleration of gravity. Answer should be a function of g, L, D, and h .]
3.) Two points are marked on the surface of a spherical balloon. One point is marked at the 'North Pole', while the other is on the 'Equator'.
a.) In terms of the sphere's radius, r, what is the distance, s, between the two points as measured on the surface of the sphere?
(i.e. What is the shortest length of strong on can lay on the sphere between the two points?)
b.) In terms of the sphere's radius, r, what is the distance, D, between the two points as measured in three-dimensional space?
(i.e. What is the shortest length one can Position within the sphere between the two points?)

c.) Air is pumped into the ballon in such a way that the ballon's volume is increasing at a constant rate of 3000(cm^3/min)
When r= 10.0 cm, how fast is, s, increasing?
d.) When r= 10.0 cm, how fast is D increasing?

THANK YOU TONS FOR ANY HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Click here to see answer by Alan3354(30983)

Question 188666: The diameter of the Milky Way disc is approximately 9 x 10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way?
Click here to see answer by Alan3354(30983)

Question 188703: a bus travels 456km in 6 hr. at this rate, how far would the bus travel in 8 hour.
Click here to see answer by checkley77(12569)

Question 188728: If Rachel jobs for awhile at 8 km/h and then walks at 5 km/h, she travels 23 km. If she reverses the amoun of time spent jogging and walking, she travels 6 km farther. Find her total travelling time.
Click here to see answer by stanbon(57243)

Question 188696: Travel by boat. Alonzo can travel from his camp downstream to the mouth of the river in 30 minutes. If it takes him 45 minutes to come back, then how long would it take him to go that same distance in the lake with no current?
Click here to see answer by stanbon(57243)

Question 188738: A worker drove to work traveling 65 miles per hour. He returned home traveling 55 miles per hour. What was his average speed if the entire trip took 4 hours?
Click here to see answer by Alan3354(30983)

Question 188927: Train A has a speed 15mph faster than train B. I the same time that train A can travel150 miles, train B travels 105miles. Find the rate of both trains.
Click here to see answer by Alan3354(30983)

Question 188929: Two cars leave town at the same time going in the same direction on the same toad. One travels 32 mi/h and the other travels 47 mi/h. In how many hours will they be 69 miles apart?
Click here to see answer by Alan3354(30983)

Question 188992: Katy leaves City A for City B at 7 A.M., driving at 47 mi/h. At 9 A.M., Jensen leaves City B for City A, driving at 55 mi/h along the same route. If the cities are 298 mi apart, at what time (A.M.) will they meet? [NOTE: Give the number of your answer only - do not label the answer.]
Click here to see answer by jonvaliente(64)

Question 188954: This is the question I am having trouble with:
In his boat, Carl takes 1 and 1/2 times longer to go 72 miles upstream as it takes for him to make the return trip downstream. If the boat cruises at 30mph in still water, what is the speed of the current?
Thanks for any help.
Click here to see answer by jonvaliente(64)

Question 188953: On Saturday morning John walked for 2 hours and then ran for 30 minutes. Is he ran twice as fast as he walked and he covered 12 miles altogether, how fast did he walk

Click here to see answer by jonvaliente(64)

Question 188934: It takes a passenger train 2 hours less time than it take a freight train to make the trip from Central City to Clear Creek. The passenger train averages 96 km/h while the freight train averages 64 km/h. How far is it from Central City to Clear Creek?
Click here to see answer by jonvaliente(64)

Question 188932: A canoeist paddled for 4 hours with a 6-km/h current to reach a campsite. The return against the same current took 10 hours. Find the speed of the canoe in still water.
Click here to see answer by jonvaliente(64)

Question 188935: An airplane took 2 hours to fly 600 km against a head wind. The retrun trip with the wind took 1 and two thirds hours. Find the speed of the plane in stll air.
Click here to see answer by jonvaliente(64)

Question 189187: Please help me solve this question:
At 7:00 A.M., Brooke leaves home to go on a business trip driving 35 miles per hour. Fifteen minutes later, Bart discovers that Brooke forgot her presentation materials. He drives 50 miles per hour to catch up with her.If Bart is delayed 30 minutes with a flat tire, when will he catch up with Brooke.
This is the question exactly from the book.
Click here to see answer by josmiceli(9658)

Question 189242: a man traveled 1 mile south and 2 miles east. what route would he take to get back to where he started with out back tracking?
Click here to see answer by Alan3354(30983)

Question 189364: Two people are 80 miles apart and both travel on bicyles. Bothe of them bicyle toward each other for 4 hours. The second bicyclist traveles 1.5 times faster than the first bicyclist. How fast did each bicyclist travel?
Click here to see answer by feliz1965(151)

Question 189326: A rowing team rowing with the current travelled 24 km in 3 hours. Against the current, the team rowed 8 km in 2 hours. Find:
a) The rate of the rowing team in calm water and,
b) The rate of the current
I tried the question and got 6km/h in calm water
and 2km/h as the rate of the current. Is that right?
Click here to see answer by ankor@dixie-net.com(15638)

Question 189480: This is from a worksheet given by my professor, not from a textbook.
Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the same point. The slower bicyclist arrives at the end of the course a half-hour after the other bicyclist. Find the distance of the ride. Round to the nearest whole mile.
Click here to see answer by ankor@dixie-net.com(15638)

Question 189505: Nasser rode his bicycle 66 miles in 4.5 hours. For the first 40 miles he averaged a certain rate, and then for the last 26 miles he reduced his rate by 3 miles per hour. Find his rate for the last 26 miles.
Thanks, If I could just figure out how to set it up I could solve it.
Click here to see answer by scott8148(6628)

Question 189781: Two planes leave Chicago at the same time heading in opposite directions. The plane heading west has a tail wind and is going 25 mph faster than the other plane. If after one hour the planes are 575 miles apart, what are their speeds?
Click here to see answer by ptaylor(2048)

Question 189995: Two planes leave Chicago - one traveling due east and the other due west. The first travels 100 miles per hour faster than the second. How long will it be until they are 2000 miles apart?
Click here to see answer by josmiceli(9658)

Question 190059: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)
*A twin engine plane can fly 800 miles in the same amount of time that it takes a single engine plane to fly 600 miles. The rate of the twin engine plane is 50 mph faster than that of the single engine plane. Find the rate of each plane.
Click here to see answer by solver91311(16868)

Question 190063: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)

*The sum of a number and its reciprocal is 25/12. Find the number.
Click here to see answer by solver91311(16868)

Question 190058: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps!
One number is 4 times as larger as another. The sum of their reciprocals is 5/12. Find the two numbers.
Click here to see answer by ankor@dixie-net.com(15638)

Question 190062: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)

*Elenore Morales traveled 1600 miles by commerical jet from Kansas City to Spokane. She then traveled as additional 500 miles on a private propeller plane from Spokane to Billings. If the speed of the jet was 4 times the speed of the propeller plane and the total time in the air was 6 hours, determine the speed of each plane.
Click here to see answer by stanbon(57243)

Question 190060: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)

*Rowing with the current of a river a rowing team can row 25 miles in the same amount of time as it takes to row 15 miles against the current. The rate of the rowing team in calm water is 20 mph. Find the rate of the current.
Click here to see answer by scott8148(6628)

Question 190155: How far away can a boy ride his bicycle if he rides away at 10 kilometers per hour and returns at 9 kilometers per hour? The entire trip takes 9.5 hours.
Click here to see answer by nerdybill(6948)

Question 190239: Joe Fleet jogs at 8 mph. Ron hikes at 4 mph. They start from opposite ends of a 44 mile hiking trail at the same. Time. How far does each go if Ron has 15 minutes to set up camp before Joe arrives?
Click here to see answer by josmiceli(9658)

Question 190278: A fire truck travelling at fifty miles an hour takes 5 minutes to reach the emergency scene. How many miles is the fire station from this incident?
I know the answer is 4.16 miles but how do you set this equation up? Can you please show me the work and how you would solve this problem step by step thanks.
Click here to see answer by solver91311(16868)

Question 190286: A pumper takes nine minutes to reach the scene of a fire located eighteen city blocks away. If one mile equals three city blocks, how fast is the truck travelling?
Click here to see answer by jonvaliente(64)

Question 190306: A cruise boat travels 60 miles downstream in 3 hours and returns to its starting point upstream in 12 hours. Find the speed of the stream.
Click here to see answer by orca(409)

Question 190300: A river flows at 3mph. A boat takes 1 hour longer to sail 36 miles upstream than to return. What is the speed of the boat in still water?
I have worked for hours on this problem and get equations that seem almost right but do not give me the answer. My math major friend cannot figure it out either. I'd appreciate if you would help me please. Thank you.
Click here to see answer by ptaylor(2048)

Question 190401: At 10 a.m., two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They then turned around and paddled back upstream at an average rate of 4 mph. The total trip took 1 h. At what time did the campers turn around downstream?
Thanks.
Click here to see answer by solver91311(16868)

Question 190298: There is a freight train that travels 30 mph. An express train travels 55 mph. The freight train is 300 miles ahead of the express train. How long will it take for the express train to overtake the freight train?
I found out that 25x=9000 is the equation, and I see how those numbers were gotten. 55-30 is 25 and 300 times 30 is 9000 but I do not understand how 25 helps or what it stands for and what this equation is representing. Thanks for your help.
Click here to see answer by Alan3354(30983)

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