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

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Word Problems: Travel and Distance

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Question 157590: The distance from London to Canterbury is 55 miles. The pilgrims pace was 4.5 mph. How many days would it take them to get there and back with only eight hours travel per day and two days at a shrine?
Click here to see answer by josmiceli(3003)

Question 157616: At 3pm a plane leaves London to fly to Madrid which is 1260 miles away. At 4PM a plane leaves Madrid to fly to London. The second plane flies 40 MPH faster than the first plane. If the planes pass one another at 4:30pm, what is the speed of each plane?
Click here to see answer by ptaylor(1578)

Question 157685: 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 10:00 am 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 ptaylor(1578)

Question 157645: this is is kinda confusing, need your help guys.
alan and dave leave from the same point driving in opposite directions, alan driving at 55 miles pero hour and dave at 65 miles per hour. alan has a one hour head start. how long will they be able to talk on their phones if the phones have a 250 mile range?
Click here to see answer by ptaylor(1578)

Question 157716: The speed of the current in the RAnge River is 3 mph. Marie can kayak 4 miles upstream in the same amount of time it takes her to kayak 10 miles downstream. What is the speek of the kayak if traveling in calm water?
Click here to see answer by checkley77(7032)

Question 157806: two missiles speed directly at each other. One is travelling 9000 mph, the other is travelling at 21000 mph. The missiles start 1317 miles apart. How far apart are they 1 minute before they collide?
Click here to see answer by Alan3354(6053)

Question 157945: Mattie drove 150 miles in the same amount of time that it took a turboprpellar plane to travel 600 miles. The spped of the plane was 150 mph faster than the speed of the car mattie drove. Find the speed of the plane.
This came from a take home exam from my Math Structures 1 teacher
Click here to see answer by checkley77(7032)

Question 157914: Two cars leave from the same place at the same time and drive in opposite directions. One car travels an average of 6 mph faster than the other. After 2 hours, the cars are 310 miles apart. Find the speed of each car.
Click here to see answer by checkley77(7032)

Question 158163: A commerical jet liner hits an air pocket and drops 244 feet. After climbing 197 feet, it drops another 190 feet. What is its overall vertical change?.
Click here to see answer by jim_thompson5910(13785)

Question 158128This question is from textbook Algebra and trigonometry
: A woman driving a car 14 ft long is passing a truck 30 ft long. The truck is traveling at 50 mi/h. How fast must the woman drive her car so that she can pass the truck completely in 6 s, from the position shown in figure (A) to the position shown in figure (B)?
(A)
---CARI --->
---------I
---------IT-R-U-C-K -->
---------I
(B)
-------------I
-------------ICAR -->
-------------I
T-R-U-C-KI --->This question is from textbook Algebra and trigonometry

Click here to see answer by Edwin McCravy(2920)

Question 158306: Danielle drove from school to home averaging 20 mph. On the way back to school she averaged 30 mph. If the total driving time was 1.5 hours, how long did it take her to drive each way.
(i'm in 8th grade, and it just doesn't make sense to me) But I think this is what I am supposed to do, but I don't understand why it works.. if it does.

Click here to see answer by stanbon(26252)

Question 158345: A car travels 100 mph for the first half of a 400 mile race. How fast must the car go to average 200 mph?
Click here to see answer by atique.ah(23)

Question 158338: A man takes 1 hour to row 2km upstream and return. The river has a current of 2kph. Find the speed of the man in still water?
Click here to see answer by ptaylor(1578)

Question 158515: A bullet if fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3300ft/sec and the speed of sound is 1100ft/sec, how far away is the target?
Click here to see answer by jojo14344(1483)

Question 158561: This is a problem from a college algebra project, and we are stuck.
A motorist drove 150 miles on country roads before driving 50 miles on mountain roads. The rate of speed on the country roads was three times the rate on mountain roads. The time spent travelling the 200 miles was 5 hours. Find the rate of the motorist on country roads.
Click here to see answer by scott8148(3382)

Question 158574: Road Gradient Driving down the smoky mountains in Tenn. Sam finds that she decends 2000 feet in elevation during the time that she has moved 4 miles horizontally away from a high point on the straight road. Find the slope (gradient) of the road (1 mile+5280 feet)
Please help I am stumped on how the equation should be wriiten in order to have it solved! Thanks so much
Click here to see answer by gonzo(654)

Question 158653: Josie ran 6 miles to a friend's house at 6 mph, but returned home along the same route at 3 mph.
What was her average speed for the whole trip?
it would help a lot of you showed the work please. Thanks!
Click here to see answer by ankor@dixie-net.com(6689)

Question 158691: A train is travelling at an average speed of 40 kilometres per hour. How long wil it take to travel 30 kilometres?
Click here to see answer by anjamini(3)

Question 158691: A train is travelling at an average speed of 40 kilometres per hour. How long wil it take to travel 30 kilometres?
Click here to see answer by jojo14344(1483)

Question 158676: Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35 mph faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up. Find Jose's average speed.
Click here to see answer by ankor@dixie-net.com(6689)

Question 158849: 2 planes travel 880 miles towards each other they pass each other half half way after 2 hours. One plane is going 126 mile faster than the other. How fast are both of them going??
Click here to see answer by stanbon(26252)

Question 158836This question is from textbook geometry CPM
: Don't really know what kind of problem this is. I used the examples from Question 157162 and Question 156861 on your website and of course came up with 2 different answers. I tried to get this done early for extra credit and can't get a consistent answer. Now my work is due tomorrow and I can't figure out the right answer. On a softball field, one person walks from home plate to 3rd base at 6' per sec. and one person jogs from home plate to 1st base at 10' per sec. How many seconds will it take them to be 270' apart? I submitted 16.875 sec. to my teacher and he said it was wrong because it has to with triangles and sqrt.This question is from textbook geometry CPM

Click here to see answer by ptaylor(1578)

Question 158729: gary drove to Sarnia. Part of the trip was along major highways and the rest was along country roads. the speed linit is 100km/h on the hgihgways and 80km/h on the other roads. he spent a total of 12 hours driving 1050 km. write a system of equations that would allow you to find how much time did he spend on each type of road.
Click here to see answer by ankor@dixie-net.com(6689)

Question 158862: 1. two cars enter a Florida Turnpike at 8:00am, each heading for Wildwood. one car average speed is 10 miles per hour more than the other. The faster car arrives at Wildwood at 11:00am, 1/2 hours before the other car. What is the average speed of each car? How far did each travel.
2. Am object is propelled upward with an initial velocity of 20 meters per second. The distance, in meter, of the object from the ground after t seconds is s=-4.9t+20t.
a. when will the object be 15 meters above the ground?
b. when will it strike the ground?
c. will the object reach a height of 100 meters?
Click here to see answer by ankor@dixie-net.com(6689)

Question 159030: I need help using factoring and polynomial equations to solve this work problem. "Two ships leave port, one eastbound and the other southbound. After some time the two ships are 17 miles apart. The southbound ship has traveled 7 miles further than the eastbound ship. How far have the two ships traveled?"
I've created a triangle with side C=17; side A=x; and side B=(x+7), but I'm stuck there. I can't determine how to make this into an equation.
Thanks for your help,
Brianna Green
Click here to see answer by nerdybill(2446)

Question 159038: A steamboat went 8 miles upstream in 1 hour. The return trip took only 30 minutes. Assume that the speed of the current and the direction are constant during both parts of the trip. Find the speed of the boat and still water and the speed of the current.
Click here to see answer by ptaylor(1578)

Question 159072: During the first part of a canoe trip, covered 81 miles at a certain speed. He then traveled 18 mile at a speed that was 5 slower. If the total time for the canoe trip was 5 hr, what was his speed on each part of the trip?
Click here to see answer by josmiceli(3003)

Question 159042: If a hiker is planning on hiking from point A, expecting to finish at point B, what is the expected travel time, if the total distance between points A and B is 4,236.04, remember that the hiker only plans to hike for 16 hours per day?
Click here to see answer by checkley77(7032)

Question 159078: During the first part of a canoe trip, covered 81 miles at a certain speed. He then traveled 18 mile at a speed that was 5 slower. If the total time for the canoe trip was 5 hr, what was his speed on each part of the trip?

Click here to see answer by KnightOwlTutor(292)

Question 159082: During the first part of a canoe trip, covered 75 miles at a certain speed. He then traveled 18 mile at a speed that was 5 slower. If the total time for the canoe trip was 3 hr, what was his speed on each part of the trip?
Click here to see answer by josmiceli(3003)

Question 159112This question is from textbook Beginning Algebra
: K&B River Tours offers a river trip that takes passengers from the K&B dock to a small island that is 24 mi away. The passengers spend 1 hr at the island and then return to the K&B dock. If the speed of the boat is 10 mph in calm water and the rate of the current is 2 mph, how long does the trip last?This question is from textbook Beginning Algebra

Click here to see answer by stanbon(26252)

Question 159110This question is from textbook Beginning Algebra
: Palmer's average running speed is 3 kilometers per hour faster than his walking speed. If palmer can run around a 30 kilometer course in 2 h, how many hours would it take for Palmer to walk the same course?This question is from textbook Beginning Algebra

Click here to see answer by checkley77(7032)

Question 159120: Joe left Southlake on his bicycle riding at an average rate of 8 miles per hour...five hours before his father left by automobile. The father overtook JOe in exactly one hour. At what average rate was Joe's father traveling?
(Need to define a variable, write an equation, and solve)
TRIED:
variable: x=father's mph
equation: x=8mph(6hrs)
solve: x=48 mph
Click here to see answer by ankor@dixie-net.com(6689)

Question 159281: I am truly confused by word problems. Please help. This is the question.
A twin-engined aircraft can fly 500 miles from city A to city B in 4 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?
I tried setting this up in a graph and got completely lost. I know this is probably a simple problem but I have worked on it for over an hour now and have gotten myself completely confused. Distance problems confound me. I appreciate your help.
Click here to see answer by Alan3354(6053)

Question 159352: A plane crashes 330 miles from shore. The survivors climb in a raft and drift toward shore at 4 mph. A coast guard ship was sent to find them at the same moment they began to drift. The ship travels at 80 mph.
a) How long until the ship meets the raft?
b) How far from the shore are they?
Click here to see answer by Alan3354(6053)

Question 159398: If a cor travels 55 miles per hour for three houirs how far does it travel
Click here to see answer by edjones(3291)

Question 159417: Jim drove his truc 500 kilometeres in the same time that Ed drove his truck 450 kilometers. Jim drove 5 kilometeres an hour faster than Ed. Find the speed of each man.
Click here to see answer by jojo14344(1483)

Question 159504: A tour-bus goes 90 miles to its destination. The rate returning is twice as fast as going. The time for a round trip is 3 hours. How fast does the tour-bus go on each part of the trip?
Click here to see answer by jojo14344(1483)

Question 159526: A plane traveling against a wind can travel at 500 miles in the same time it can travel 1120 miles with the same wind. If the speed of the plane with no wind is 240 mph, what is the speed of the wind?
Click here to see answer by ptaylor(1578)

Question 159534: 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 12km/h. For the rest of the trip,they hiked on a scenic trail. If their average walking speed was 5km/h how far did they walk?
Click here to see answer by jojo14344(1483)

Question 159489: May rides her bike the same distance that Leah walks. if it takes May 1 h and Leah 3 h to travel that distance, how fast does each travel?
this question is from: prentince hall mathematics algebra 1
Click here to see answer by ptaylor(1578)

Question 159561: Junior's boat will go 15 mph in still water. If he can go 12 miles downstream in the same amount of time it takes to go 9 miles upsteam, then what is the speed of the current?
Click here to see answer by ankor@dixie-net.com(6689)

Question 159684: At 10:00 A.M., a car leaves a house at a rate of 60 mi/h. At the same time, another car leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart?
Click here to see answer by checkley77(7032)

Question 159793: a man at A walks to a neigborhoring town, B, at the rate of 5mph and returns at a alower rate of 4mph. if it took him 3 hours and 9 minutes for the entire trip, how far is town from A.
Click here to see answer by checkley77(7032)

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