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Word Problems: Travel and Distance

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Question 175901This question is from textbook algebra 1
: Gerry and Tony live 11km apart. Gerry leaves his home at 2 p.m. and bikes toward Tony's home at 25 km/hr. At the same time, Tony leaves his home and bikes toward Gerry's home at 30 km/hr as soon as they reach each other's homes they turn around and start back along the same route. They stop when they meet each other on the ride back to their own homes. How far are they are from Gerry's home when they stop?This question is from textbook algebra 1

Click here to see answer by josmiceli(3003)

Question 175912: A plain travels 560 miles to San Francisco and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 14 hours. Find the speed of the plain in still air and the speed of the wind.
Click here to see answer by josmiceli(3003)

Question 175949: A boat travels at the rate of 8 kph in still water. If it can travel a given distance upstream in 5 hours and the same distance downstream in 3 hours, what is the rate of the current?
Click here to see answer by vleith(1977)

Question 175968: Joe drove to work on Monday at 45 mph and arrived 1 minute early. On Tuesday he drove at 40 mph and arrived 1 minute late.
a) How far does Joe live from work?
b) What speed does he normally travel?
c) How fast should he go to arrive 5 minutes early?
Click here to see answer by checkley75(3666)

Question 176184: An agency charges $150 a week plus $0.15 per mile to rent a car. How many miles can i travel for $550?
Click here to see answer by Mathtut(3670)

Question 176306: Two cars pass exit 20 on the turnpike at 8:00 a.m. One car is traveling north and the other is traveling south at a speed that is 4 km/h faster than the northbound car. At 8:45 a.m. the cars are 117 km apart. Find the speed of the southbound car.
Click here to see answer by MathTherapy(336)

Question 176343: A jet plane traveling at a rate of 550 mph overtakes another plane that had a 3 hour head start and is traveling at a rate of 250 mph. How far from the starting point does the jet overtake the other plane?
Click here to see answer by ptaylor(1578)

Question 176342: Two cyclist start from the same point and ride in opposite directions. One cyclist rides 5 mph faster than the other. In 5 hour the cyclists are 175 mile apart. Find the rate of the slower cyclist.
Click here to see answer by ptaylor(1578)

Question 176394: Consumer laon is made at 10% over 3.5 years. If $2,125 interest is paid what is the principal? What is the total amount paid?
Click here to see answer by jojo14344(1483)

Question 176394: Consumer laon is made at 10% over 3.5 years. If $2,125 interest is paid what is the principal? What is the total amount paid?
Click here to see answer by MathTherapy(336)

Question 176409This question is from textbook college algebras

: The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds? thank you for your help with this.
As of right now I have 144/y=3^2/5^2 am I on the right track?This question is from textbook college algebras

Click here to see answer by jim_thompson5910(13785)

Question 176494: In a tall office building, one elevator leaves the third floor and ascends at a speed of 2 floors per second. Another elevator leaves the 59th floor at exactly the same moment and descends at a speed of 2 floors per second. If the two elevators do not stop, how long will it take them to pass each other? At what floor will the elvators pass each other?
I can solve this problem by subtracting 3 from 59 to get a distance of 56 floors. Since they are traveling at the same rate divide this by 2 and get 23 floors. So they would pass at the 26th floor. 23 floors at 2 floors per second would be 11.5 seconds.
My problem is that I can do all this logically but my teacher wants an equation with variables! Not sure how to do that. Thanks for any help!
Click here to see answer by stanbon(26252)

Question 176536: It take Felicia 25 minutes to walk one mile. At this rate, how long would it take her to walk 7 miles?
I multiplied 25 x 7 = 175 minutes. But am confused trying to use the formula.
D=RT
D=7 miles, R=25 min/mile, T=T
7=25T
7/25 = T
T= .28 minutes
What am I not understanding? Thanks for your help!
Click here to see answer by Alan3354(6056)

Question 176527: A truck driver drove for 2 days. On the second day he drove for 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 1020 miles and spent 21 hours on the road driviing during the 2 days, what was his average speed on the first day, in miles per hour?
Click here to see answer by ankor@dixie-net.com(6689)

Question 176669: A car travels around a 1 mile oval track at 30mph. The same car does a second lap, how fast does the car need to travel to aveage 60mph for both laps?
Click here to see answer by Fombitz(2113)

Question 176675: car travels around a 1 mile oval track at 30mph. The same car does a second lap, how fast does the car need to travel to aveage 60mph for both laps in 2 minutes?

Click here to see answer by Edwin McCravy(2920)

Question 176706: A biker travels 1 mile in 2 minutes, 30 seconds. At this rate, how many miles will the biker travel in 1 hour
Click here to see answer by Mathtut(3670)

Question 176862: I need help solving this problem. I am not quite sure how to set it up.
The campers left headquarters hiking to a cabin at a rate of 2 mph. They rode back to headquarters at a rate of 18 mph. If the entire round trip took 10 hours, what is the distance from the cabin to headquarters?

Click here to see answer by gonzo(654)

Question 176860: A person traveling 4 hours by plane and 25 by ship covers 1580. If the speed of the plane had been one half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same lengh of time. Find the speed of the plane and the ship.
Click here to see answer by gonzo(654)

Question 176889: how do i set up a problem like this, i remeber my teacher showing me how to draw some kind of chart, but i don't remeber it.
A plane leaves Chicago and heads for Columbus, which is 300 miles away. The plane, flying with the wind, takes 40 minutes. The plane returns to chicago, traveling against the wind, in 45 minutes. Find the rate of the wind and the rate of the plane with no wind
thanks
Click here to see answer by josmiceli(3003)

Question 176867This question is from textbook
: Carlos can travel 40 mi on his motorbike in the same time it takes Paul to travel 15 mi on his bicycle. If Paul rides his bike 20 mi/h slower than Carlos rides his motorbike, find the speed for each bike.This question is from textbook

Click here to see answer by ankor@dixie-net.com(6689)

Question 176913: Henry drove 800 miles in X hours on Monday.
A. Write a rational expression for his average speed.
B. On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
I haven't a clue how to set this up or do it.Can someone help me?Thanks in advance.
Click here to see answer by stanbon(26252)

Question 176905: First thank you all.
I have a word problem: Two steamers leave a port on a river at the same time, traveling in opposite directions. Each is traveling 22mph. How long will it take for them to be 110 mi. apart?
Click here to see answer by checkley75(3666)

Question 176977: A boat on the Hudson River travels the same distance in 1/2 hour downstream as it can going upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current?
Please help! There are no examples like this one in the book.
Thanks!
Click here to see answer by stanbon(26252)

Question 166871: What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
Click here to see answer by stanbon(26252)

Question 176994: The path of a falling object is given by the function s=-16t^+v0t+s0 where the v0 represents the initial velocity in ft/sec ans s0represents the initial height. The variable t is time in seconds, and s is the height of the object in feet. if a rock is thrown upward with the initial velocity of 32 feet per secound from the top of a 40 foot building a) write the height equation b)how high is the rock after 5.0 seconds,after how many seconds will the rock reach maximum height and what is the height?
I have been stuck on this problem for days I do not know where it is from it is a problem given by our teacher and I have no clue where it is from and that is the truth.
Click here to see answer by jim_thompson5910(13785)

Question 177011: Please help.
A 6 passenger plane cruises at 180mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind,then what is the wind speed?
Click here to see answer by scott8148(3382)

Question 177100This question is from textbook Blitzer College Algebra
: If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-story building,write the height equation using this information.
How high is the rock after 0.5 seconds? How many seconds will the rock reach maximum height? What is the maximum height?This question is from textbook Blitzer College Algebra

Click here to see answer by jim_thompson5910(13785)

Question 177107: without solving the equation or factoring determine the solution to the equation x^2+4x-5=0
Click here to see answer by jojo14344(1483)

Question 177117: A well known university,1/4 of the undergraduate students commute,and 1/3 of the graduate students commute.One-tenth of the undergraduate students drive more than 40 miles daily,and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students,then what frction of the commuters drive more than 40 miles daily.
Click here to see answer by ankor@dixie-net.com(6689)

Question 177010: Please help.
A boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount as it takes to go 9 miles upstream,then what is the speed of the current?
Click here to see answer by ankor@dixie-net.com(6689)

Question 177188: Cameron and Brittany both live eighteen miles from school. If Cameron drives to school at 45mph and Brittany drives to school at 54mph, how many more minutes will it take Cameron to get to school?
Click here to see answer by stanbon(26252)

Question 177212: By taking an airplane one can go from D to H in one hour. The same trip takes five hours by bus. If the air fare is $150 and the bus fare is $50, which would be the cheaper mode of transportation for someone who could earn $10 an hour during this time? For someone who could earn $100 an hour? For someone who could earn $50 an hour? Be sure to give the logic behind your choice.
Click here to see answer by solver91311(5072)

Question 177408: Felix drove 800 miles in x hours on Monday.
a)Write a rational expression for his average speed.

b)On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.

Click here to see answer by Mathtut(3670)

Question 177414: Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5.
Click here to see answer by Mathtut(3670)

Question 177422: It took Emily 25 min to ride her bike to the repair shop and 1h 15 min to walk back home. If she can ride her bike 8km/h faster than she can walk, how far is the repair shop from her house.
Click here to see answer by stanbon(26252)

Question 177452: two planes are 1680 miles apart and traveling toward each other. one place is traveling 80 miles per hour faster than the other plane. the planes meet in 1.75 hours. find the speed of each plane.
Thanks for helping me on this! :)
Click here to see answer by nerdybill(2446)

Question 177527This question is from textbook

: bret started on a 70mile bicycle ride at 20milesper hour. After a time he became a little tired and slowed down to 12miles per hour for the rest of the trip. The entire trip of 70 miles took 4.5 hours. How far had bret ridden when he reduced his speed to 12 miles per hour?
This question is from textbook

Click here to see answer by gonzo(654)

Question 177594This question is from textbook College Algebra
: Junior drove his rig on the Interstate 10 from San Antonio to El Paso. At the halfway point he noticed that he had been averaging 80mph, while his company requires his average speed to be 60mph. What must be his speed for the last half of the trip so that he will average 60mph for the entire trip.
The book also gives this hint: The distance from San Antonio to El Paso is irrelevant. Use D or simply make up a distance.This question is from textbook College Algebra

Click here to see answer by stanbon(26252)

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