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

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Question 34653: I tried this problem, but just can't solve it!
To avoid hitting any rocks below, a cliff diver jumps up and out. The equation h= -16t(the t is squared) + 4t + 26 decribes her height, h, in feet t seconds after jumping. Find the time at which she returns to a height of 26 feet.
I tried:
26 = -16t(squared) + 4t =26, but can't figure out how to solve

Click here to see answer by stanbon(26250) About Me 

Question 34853: A power boat has a 4 hour supply of gasoline. How far can this boat travel from the marina if the rate out against the current is 40 km/h and the rate back in with the current is 60 km/h?
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Question 34872: A space probe that is 2.85x10^9 miles away from Earth sends radio signals back to NASA. If the radio signals travel at the speed of light (186,000 miles per second), how long will the signals take to reach NASA? PLEASE HELP! Thank you so much!
Click here to see answer by stanbon(26250) About Me 

Question 34865: With the wind, an airplane travels 2200 miles in 4 hours. Against the wind, it takes 5 hours to travel 2350 miles. Find the rate of the plane in still air.
Click here to see answer by Paul(988) About Me 

Question 34956: can you please help me solve this problem?thanx
Dana flew his chopper 100 miles against the wind. He returns with the wind in one hour less time. If the wind speed is 12mph, how fast would Dana travel on a calm day?

Click here to see answer by Paul(988) About Me 

Question 34979This question is from textbook Algebra and Trigonometry Structure and Method
: A boat traveled 36 km downstream in 2h. the return trip upstream took 3 h. find the rate of the current.
i got d=rt
downstream 72=(x+y)5
upstream 72=(x-y)5
then i solved for x and got 180 but when i tried for y everything cancels itself out, help please...
This question is from textbook Algebra and Trigonometry Structure and Method

Click here to see answer by Paul(988) About Me 

Question 35047This question is from textbook
: two planes leave simultaneously from the same airport, one flying due east and the other due south. The eastbound plane is flying 100 miles per hour faster than the southboun plane. After 2 hours the planes are 1500 miles apart - Find the speed of each plane -
use d=rt
my try
[d=r+100(2)]-[d=r(2)]=1500
please help!!!!
This question is from textbook

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Question 35430: The diameter of the planet Uranius is 10 times larger than mercuries. If the sum of both planets is 54,867 km.What is the diameter of each one.
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Question 35449: I answered these word problems, checked and thought I got them right, but my instructor tells me they are wrong. The answer I got for this one is x=73,
x=73, and x=50

Here's the problem:
A certain building in New York City is in the shape of an isosoles triangle. If the shortest side of the building is 50 feet shorter than the two longer sides, and the perimeter around the building is 196 feet, determine the legnth of the three sides of the building.


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Question 35514: I can't figure out these questions.
It is approximately 480 miles from Los Angeles, CA, to San Francisco, CA. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
Write a linear function that expresses the distance treveled, d, as a function of time, t.

How far have you traveled after 4 hours?
Write a linear function that expresses the distance to b e traveled to reach San Francisco, s as a function of time, t.

Click here to see answer by Nate(3495) About Me 

Question 35536: For the function,
Give the y values for x = -2, -1, 0, 1, 2, 3.
Answer:
Show work in this space.
Using these points, draw a curve.
Show graph here.

Click here to see answer by rapaljer(3610) About Me 

Question 36026: It takes a freight train 2 hrs longer to travel 300 miles than it takes an express train to travel 280 miles. The rate of the express train is 20 miles per hour greater than the rate of the freight train. Find the times and rates of both trains.

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Question 36026: It takes a freight train 2 hrs longer to travel 300 miles than it takes an express train to travel 280 miles. The rate of the express train is 20 miles per hour greater than the rate of the freight train. Find the times and rates of both trains.

Click here to see answer by stanbon(26250) About Me 

Question 36033: 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.
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Question 36034: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Click here to see answer by Paul(988) About Me 

Question 36096: A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
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Question 36090: A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
Click here to see answer by checkley71(8405) About Me 

Question 36184: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
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Question 36185: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
5x^2 + 8x + 7 = 0

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Question 36232: A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
Click here to see answer by Prithwis(166) About Me 

Question 36346: Points A and B are 100 kilometers apart on a highway . One car starts from A and another from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in one hour. What are the speeds of the two cars.
Click here to see answer by landofmiddlegirth(1) About Me 

Question 36505: A tower is 275 feet high. From it's top, the angle of depression to a rock on the ground is 25degrees. Find the distance from the base of the building of the the tower to the rock.
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Question 36548: A plane flies 170 miles with a tailwind, turns around and flies 130 miles against a headwind before stopping to refill. the wind speed is 10 mph and the total for the trip is 4 hours. Find the plane's air speed (without the wind).
This is what i did:

and got
x=75
Is that correct?

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Question 36560: a)
2) Suppose you throw a baseball straight up at a velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ˝g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:



b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.



c) How long will it take to hit the ground?
Answer:
Show work in this space.



d) What is the maximum height of the ball?
Answer:
Show work in this space.

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Question 36584: The circumference of a circular pond is 840m.Betty walks at a speed of 6m/min and Natalie walks at a speed of 9m/min.If two of start from the same place but walk in opposite directions,how many minutes later will they meet?
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Question 36623: Please help me, I don't know how to set this up:
Smith traveld 45 miles. Jones traveled 70 miles. Jones averaged 5 miles per hour more than Smith and his trip took 1/2 hour longer than Smith's. How fast was each one traveling?

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Question 36773: can you please help me!!!!!!! solve this one using Rational expression!!!! Debbie traveled by boat 5 miles upstream to fish in her favorite spot. because of the 6-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? (please round your answer to one decimal place)
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Question 36775: can you please help me!!!!! solve this one with rational expression!!!! John takes 3 hours longer than andrew to peel 400 pounds of apples. if together they can peel 400 pounds of apples in 9 hours, then how long would it take john to peal the apples working alone? (please round your answer to three deciaml places)
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Question 36801: i am homeschooled i do not have a text book curriculum. With a certain tail wind a jet aircraft arrives at its destination, 1,890 miles away, in three hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. find the wind speed and the planes airspeed.
Click here to see answer by stanbon(26250) About Me 

Question 36772: can you please help me!!!!!!! solve this one using Rational expression!!!! Debbie traveled by boat 5 miles upstream to fish in her favorite spot. because of the 6-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? (please round your answer to one decimal place)
Click here to see answer by stanbon(26250) About Me 

Question 36800: I am a homeschool student and i do not have text book curriculum my problem is this: Dick can run the 440 yard dash in 55 seconds and Jack can run it in 88 seconds how great a handicapp must dick give jack for the boys to finish the race at the same time
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Question 36814: Farmer Ferguson needs 0.03 acre of land to grow 1 bushel of corn and 0.06 acre to grow 1 bushel of wheat.
He has at the most 480 acres of land for planting and wants to use at least half of that acreage. If he decides to grow twice as much corn as wheat, find a.the maximum and b.the minimum number of bushels of corn he can grow.
This is from 906 math? Homeschool Math on worksheet?
Is this really a 9th grade math level?

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Question 36973: I am a home schooled student and i do not have a text book curriculum.
The excursion boat on a river takes 2 1/2 hours to make the trip to a point 12 miles upstream and to return. If the rate at whick the boat travels in still water is 5 times the rate of the river current, what is the rate of the current?

Click here to see answer by Paul(988) About Me 

Question 37083This question is from textbook Alegra I
: Please help! I am at a total loss on this one.
At noon Joyce drove to the lake at 30 miles per hour, but she made the long walk back home at 4 miles per hour. How long did she walk if she was gone for 17 hours? How far did she walk? Begin by drawing a diagram fo distances traveled and writing the distance equation.
This question is from textbook Alegra I

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Question 37145: HELP!!! I have worked this problem and can't get it.
Problem:
Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles with the wind, and in the same amount of time runs 4 miles against the wind. What is the rate of the wind?

Click here to see answer by fractalier(1804) About Me 
Question 37145: HELP!!! I have worked this problem and can't get it.
Problem:
Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles with the wind, and in the same amount of time runs 4 miles against the wind. What is the rate of the wind?

Click here to see answer by mbarugel(146) About Me 
Question 37145: HELP!!! I have worked this problem and can't get it.
Problem:
Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles with the wind, and in the same amount of time runs 4 miles against the wind. What is the rate of the wind?

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Question 36099: The energy of an atomic bomb comes from converting the materia in energy according to Einstens formula E=MC2. The constant C is the speed of light aproximately 300,000 meters per second. Find the energy in a mass M of one kilogram (approx. 2 pounds) the energy is expressed in joules units.
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Question 37168: Juliet runs out of gas in Barnhaven, South Carolina. She walks 9 mi west and then 5 mi south looking for a gas station. How far is she from her starting point? Round to the nearest tenth.


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Question 37168: Juliet runs out of gas in Barnhaven, South Carolina. She walks 9 mi west and then 5 mi south looking for a gas station. How far is she from her starting point? Round to the nearest tenth.


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Question 37087: Question:
The distance between Alanta, GA, and Charleston, WVA is 500 miles. A truck leaves Atlanta traveling toward Charleston at a rate of 47MPH. At the same time, a bus leaves Charleston traveling toward Atlanta at an average rate of 53 mph. Assuming they are traveling on the same route, how long will it take unitl they meet?
My teacher says that this probable has to be set up with a variable statement, equation, and answer. I've been stuck on it for about 2 days. I'm really not sure how to set this problem up.
Thanks,
Kristi

Click here to see answer by fractalier(1804) About Me 

Question 37237This question is from textbook Beginning Algebra
: 26. Science and medicine. A plane flies 720 mi against a steady 30-mi/headwind and then returns to the same point with the wind. If the entire trip takes 10h, what is the plane’s speed in still air?
I think the problem should be stated like this but I'm not sure. I just can't seem to get it to work.
(720/x-20)+(720/x+20)=12
This question is from textbook Beginning Algebra

Click here to see answer by checkley71(8405) About Me 
Question 37237This question is from textbook Beginning Algebra
: 26. Science and medicine. A plane flies 720 mi against a steady 30-mi/headwind and then returns to the same point with the wind. If the entire trip takes 10h, what is the plane’s speed in still air?
I think the problem should be stated like this but I'm not sure. I just can't seem to get it to work.
(720/x-20)+(720/x+20)=12
This question is from textbook Beginning Algebra

Click here to see answer by Paul(988) About Me 

Question 37247This question is from textbook Beginning Algebra
: Actually, this is a problem involving slope as well.
Driving down a mountain, Tom finds that he has descended 1800 ft. in elevation by the time he is 3.25 mi. horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundreds.
I just cannot figure out the formula, if I knew it I could solve the problem.
This question is from textbook Beginning Algebra

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Question 37376: Please help me solve this problem:
If Car A were traveling at 40 miles per hour and Car B was traveling 150 feet behind Car A at 45 miles per hour, how many seconds will it take before Car B runs into Car A?

Click here to see answer by wuwei96815(245) About Me 

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