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 63435: If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
Click here to see answer by uma(370)

Question 63428: John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?

Click here to see answer by checkley71(8405)

Question 63570This question is from textbook Glencoe Mathematics

: An express train travels 80 kilometers per hour from Ironton to Wildwood. A local train,traveling at 48 kilometers per hour, takes 2 hours longer for the same trip. How far apart are Ironton and Wildwood?This question is from textbook Glencoe Mathematics

Click here to see answer by josmiceli(3003)

Question 63570This question is from textbook Glencoe Mathematics

Click here to see answer by stanbon(26249)

Question 63628This question is from textbook An Incremental Development

: Help would be appreciated
Mindy left at 8am and arrived at 1pm. Kelly left at 8am and arrived at 2pm. How many miles wasthe trip if kelly traveled 10 miles per hour SLOWER than mindy?
Thank you!This question is from textbook An Incremental Development

Click here to see answer by joyofmath(189)

Question 63623: suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y-and x-axis respectively. Round to the tenth's place.
Click here to see answer by joyofmath(189)

Question 63665: if a plane is travelling 3100 km at 790km/h and then encounters a tailwind that boosts its speed tp 990km/h for the next 2800km. what was the total time for the trip?what was teh average speed of the plane for this trip?
Click here to see answer by ptaylor(1578)

Question 63833: A cyclist bikes x distance at 10 mph and returns over the same path at 8 mph. What is the cyclists average rate for the round trip in miles per hour.
Click here to see answer by stanbon(26249)

Question 63861: A car accelerates from 13m/s to 25 m/s in 6.0 s. What wasits acceleration? How far did it travel in this time?
Click here to see answer by 303795(562)

Question 63919This question is from textbook algebra and trigonmetry struture method

: with a tail wind, a helicopter traveled 300mi in an hour and 40 min. the return trip aganst the same wind took 20 min longer. find the wind speed and also the air speed of the helicopter.This question is from textbook algebra and trigonmetry struture method

Click here to see answer by funmath(2873)

Question 63847This question is from textbook An Incremental Development

: help....
KAren left her house heading east and her sister left two hours later heading west at a rate of 5 mph faster than Karen. Six hours after Karen left, she and her sister were 600 miles apart. How fast was Karen moving?
This question is from textbook An Incremental Development

Click here to see answer by venugopalramana(3286)

Question 64037: Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16mi/h faster than Charlene. They meet in 5 hours. Find Carlene's speed.
Any help is appreciated.
Click here to see answer by josmiceli(3003)

Question 64140This question is from textbook Beginning Algebra

: A plane flies 720 miles against a steady headwind and then returns to the same point with the wind. If the entire trip takes 10 hours what is the planes speed in still air?
I have attempted to solve this by using the formula:
720/(x+30)=720/(x-30) and needless to say do not get the correct answer. The 10 hours is throwing me off. I think the answer is 144mph but cannot get the formula to produce the result. What am I missing? Thanks. This question is from textbook Beginning Algebra

Click here to see answer by josmiceli(3003)

Question 64250This question is from textbook Algebra 1
: At 7:00 A.M. Brooke leaves home to go on a buisness 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 delayed30 minutes with a flat tire, when will he catch up with Brooke?This question is from textbook Algebra 1

Click here to see answer by stanbon(26249)

Question 64232This question is from textbook An Incremental Development

: Linda headed east at 20 miles per hour on her bicycle at 9am. Three hours later Shana headed west from the same place walking at 6 miles per hour. What time was it when they were 164 miles apart?
Thank you!This question is from textbook An Incremental Development

Click here to see answer by ankor@dixie-net.com(6685)

Question 64261This question is from textbook Algebra 1
: A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph takes 104 hours less to make the same trip. How far apart are the two cities?This question is from textbook Algebra 1

Click here to see answer by checkley71(8405)

Question 64259This question is from textbook Algebra 1
: A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph takes 104 hours less to make the same trip. How far apart are the two cities?This question is from textbook Algebra 1

Click here to see answer by ptaylor(1578)

Question 64490: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by stanbon(26249)

Question 64508This question is from textbook An Incremental Development

: Jolene and Samantha began a trip from the same place at the same time. If Jolene's speed was 40mph and Samantha's speed was 50mph, how many hours will it take for Samantha to get 25 miles ahead?This question is from textbook An Incremental Development

Click here to see answer by ankor@dixie-net.com(6685)

Question 64507This question is from textbook An Incremental Development

Click here to see answer by checkley71(8405)

Question 64718This question is from textbook algebra 1
: An airline starts off on a trip with all engines running. It is going at a rate of 900 km per hour, after x hours it shuts down one engine and reduces its speed to 700 km per hour. The trip is a total of 3 hours long
How lonng should the pilot fly before shutting down one engine in order to go a total distance of 2352 in 3 hours.This question is from textbook algebra 1

Click here to see answer by checkley71(8405)

Question 64717: An airline starts off on a trip with all engines running. It is going at a rate of 900 km per hour, after x hours it shuts down one engine and reduces its speed to 700 km per hour. The trip is a total of 3 hours long
How lonng should the pilot fly before shutting down one engine in order to go a total distance of 2352 in 3 hours.
Click here to see answer by josmiceli(3003)

Question 64716: An airline starts off on a trip with all engines running. It is going at a rate of 900 km per hour, after x hours it shuts down one engine and reduces its speed to 700 km per hour. The trip is a total of 3 hours long
How lonng should the pilot fly before shutting down one engine in order to go a total distance of 2352 in 3 hours.
Click here to see answer by stanbon(26249)

Question 64818: Roberto invested some money at 7%, and then investes $5000 more than twice this amount at 11%. His total annual income from the two investments was $3450. How much was invested at 11%?
Click here to see answer by checkley71(8405)

Question 64815: In the morning, May drove to an appointment at 50 mph. Her average speed on the return trip on the afternoon was 40 mph. The return trip took 1/8 hour longer. How far did she travel to the appointment?
Click here to see answer by ankor@dixie-net.com(6685)

Question 64842This question is from textbook An Incremental Development

: The first part of the 660-mile journey was by car at 30 MPH. The second part was by bus at 60 MPH. If the total time was 14 hours, what was the distance traveled by bus?
This question is from textbook An Incremental Development

Click here to see answer by ptaylor(1578)

Question 64901This question is from textbook

: If tim leaves at 10 am traveling down a road at 16 mph. And then at 10:30 his sister leaves traveling down the same road at 36 mph. how long will it take the sister to catch up?This question is from textbook

Click here to see answer by stanbon(26249)

Question 64909This question is from textbook Algebra 1
: At the same time Kris leaves Washington D.C.,for Detroit,Michigan,Amy leaves Detroit for Washington D.C. The distance between the cites is 510 miles.Amy's average speed is 5 miles per hour faster than Kris's. How fast is Kris's average speed if they pass each other in 6 hours?This question is from textbook Algebra 1

Click here to see answer by checkley71(8405)

Question 64929: Any help on this would be GREAT...
On a trip, Dave drives 267 miles, adds 8 gallons of gas to his tank, and drives another 310 miles before running out of gas. If Dave's car averages 18.2 miles per gallon, how many gallons did Dave already have in his tank before starting this trip?
Click here to see answer by 303795(562)

Question 64946: A boy started on a trip across a lake by a motorboat. After he had travelled 15 km, the motor failed and he had to use a banca for the remaining 6 km to his destination. His average speed by motor was 4 kph faster than his average speed while rowing a banca. If the entire trip took five and a half hours, what was his average speed while rowing ?
dear tuitor ,
ihave been trying this problem too many times but cant. This what i get
d = rt
motorboat d= 15 km r= r+4 t = t
banca d= 6 km r= r t= 5.5 - t
Click here to see answer by ptaylor(1578)

Question 65162: How do you solve if t = 2.2 ?
Click here to see answer by stanbon(26249)

Question 65161: In time-distance relationships in the equation what is the real world meaning for -10 and 3?
Click here to see answer by stanbon(26249)

Question 65322: an airplane flies 1449 miles against the wind and 1539 miles with the wind in a total time of 5hours. the speed of the airplane in still air is 600mph. what is the speed of the wind ?
Click here to see answer by checkley71(8405)

Question 65311: The speed of an airplane in still air is 214mph. The plane travels 819mi against the wind and 1505 mi with the wind in a total time of 12 hrs. what is the speed of the wind?
Click here to see answer by checkley71(8405)

Question 65460: Students are having a gum spitting contest, and one student observes the gum follow a parabolic curve according to the equation -16x^2 +48x+4. What is the highest point the gum wad reaches and after how much time?
After how many seconds will the gum wad hit the ground?
Click here to see answer by stanbon(26249)

Question 65498This question is from textbook Essential Algebra
: Abigail Nightwind has planned a bike trip with some friends from her village. They will bike for 8 hours, then hike for 4 hours. If they can bike on the average 10mph fater than they can hike and if they will cover a total of 122 miles, how fast can Abigail and her friends bike?This question is from textbook Essential Algebra

Click here to see answer by funmath(2873)

Question 65510This question is from textbook Essential Algebra
:
Mr and Mrs Morales agree to meet at 3:00pm at Los Alamos, a town between their present locations. They both leave their present location at 10:45am. Mr Morales drives at an average speed of 50 kph to arrive on time.
a) If Mrs Morales must drive 34 kilometers further than Mr Morales, what must her average speed be to arrive on time?
b) How far will Mr and Mrs Morales have driven when they meet in Los Alamos?This question is from textbook Essential Algebra

Click here to see answer by checkley71(8405)

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