Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 70898: Hi, I have been working on this problem all day, and still can't figure it out. I would appreciate any help, I have a test tomorrow, and there will probably be one like it.
A metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, and Amtrak train leaves on the same track, traveling at an average speed of 50 miles per hour faster than the Metra train. At 3 PM the Amtrak train is 10 miles behind the commuter train. How fast is each going?
Thank you,
Jodi
Click here to see answer by checkley75(3666)  |
Question 70982: Problem#22
Adriana took 2h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, wha was the driving time each day?
Problem#26
A plane flies 720 mi against a steady 30-mi/h 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?
Problem#34
Kevin earned $165 interest for 1year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by hailu(13) |
Question 71139: The Diameter of the Earth is approximately 7,920 miles. Given that the circumference of a circle is ? times it's diameter, which statement best describes the length of a trip from Washington to Madagascar that is approximately 8,600 iles long?
0 1/4 of the circumference of the Earth
0 3/10ths of the circumference of the Earth
0 1/3 of the circumference of the Earth.
0 1/2 of the circumference of the Earth
my answer is 1/3rd of the Earth, however I would like verification of this.
Click here to see answer by Earlsdon(6294) |
Question 71149: A, B are two light source 100m apart. A is twice as strong as B. P is a point between A, B. Intensity of illumination varies inversely as the square of the distance from the light source. Find the length of AP so that the point P is the darkest
thank you
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 71240: Hi, I could use some help with this problem. I had thought there was a similar one in here, but I couldn't find it again.
Thank you!
An object is thrown down from the top of a building 1280 ft tall with an initial velocity of 32 ft per second. The distance s(in feet) of the object from the ground after t seconds is s=1280-32t-16t^2
a. When will the object strike the ground?
b. What is the height of the object after 4 seconds?
Thank you.
Click here to see answer by bucky(2189) |
Question 71389: A family drove to a beach resort at an average speed of 55 MPH and later returned over a road at an average speed of 65 MPH. Find the distance to the resort if the total driving time was 12 hours.
Click here to see answer by bucky(2189) |
Question 71530: a motorboat leaves the harbour and travels at an average speed of 9mph toward a small island. Two hours later a cabin cruiser leaves the same harbour and travels at an average speed of 12 mph toward the same island. In how many hours after the cabin cruiser leaves the harbour will it be alongside the motorboat?
Click here to see answer by ptaylor(2198)  |
Question 71560: Science and medicine. A plane flies 720 mi against a steady 30-mi/h headwind
and then returns to the same point with the wind. If the entire trip takes 10 h, what
is the plane’s speed in still air?
Click here to see answer by galactus(183)  |
Question 71938: A pelican flying in the air over water drops a crab from a height of 30 feet. The distance the crab is from the water as it falls can be represented by the function, where t is time, in seconds. To catch the crab as it falls, a gull flies along a path represented by the function. Can the gull catch the crab before the crab hits the water? Justify your answer. (The use of the accompanying grid is optional.)
Click here to see answer by stanbon(75887) |
Question 72168: My instructor made this question up. But we use the Second Edition, Intermediate Algebra testbook, by Bittinger, ellenbogen, Johnson and chapter 6 - sorry if you have answered a question like this already? I saw some similar but not with the "skill water"...
question is.
A boat travels 10 miles per hour in still water. It travels 20 miles down a river in the same time that it travels 5 miles up the same river. What is the speed of the River?
thank you.
Click here to see answer by checkley75(3666) |
Question 72125: Adriana took 2 h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
On this one I came up with the first day 4 hours and 12 min and the second day I came up with 3 hours and 20 min. Is this correct. Thanks
Click here to see answer by checkley75(3666) |
Question 72124: A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the frieght train, find the speed of each.
I came up with 45 mi/h and I am not sure this is not correct, but I need to verify this. Thanks
Click here to see answer by rmromero(383) |
Question 72462: A body is thrown straight from the ground with an initial velocity of 96 feet per second. Neglecting air resistance, its height h, measured in feet, after t seconds, is given by the formula:
h=96t-16t(squared)
A)After how many seconds does the body reach its maximum height?
B)What is the maximum height?
Click here to see answer by funmath(2933) |
Question 72520: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Click here to see answer by checkley75(3666) |
Question 72572: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Answer:
Show work in this space
Click here to see answer by pradhyumna.kumar@gmail.com(62) |
Question 72697: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Click here to see answer by josmiceli(19441)  |
Question 72551: 18. A passenger train can travel 325 mi. in the same time a freight train takes to travel 200mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train find the speed of each.
22. Ariana took 2 h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi. on the second. If her speed was the same on both days, what was the driving time each day?
26. A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane’s speed in still air?
34. Kevin earned $165.00 interest for 1 year on an investment of $1500.00. At the same rate what amount of interest would be earned by an investment of $2500.00?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 72853: Angelina can ride her bicycle at a rate of 15 miles per hour from her house to Darryl's house. From Darryl's house, the two of them ride in his ca to work at 45 miles per hour. If Angelina takes exactly one hour to travel 27 miles from her house to work, how many miles did she ride her bicycle?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 72846: During rush hour, Fernando can drive 35 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
I came up with 65 and was wanting to check to see if this is right. Thanks.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 72846: During rush hour, Fernando can drive 35 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
I came up with 65 and was wanting to check to see if this is right. Thanks.
Click here to see answer by bucky(2189) |
Question 72815: A light plane flies for 2h with a 20km/h tail wind. The return trip against the same wind takes 3h. Write equations to determine the speed of the plane when there is no wind and the distance travelled
Click here to see answer by bucky(2189) |
Question 72971: THE TIME IT TAKES A CAR TO TRAVEL A FIXED DISTANCE VARIES INVERSELY WITH THE RATE AT WHICH IT TRAVELS. IT TAKES THE CAR 4 HOURS TO TRAVEL A FIXED DISTANCE WHEN IT TRAVELS AT A RATE OF 50 MILES PER HOUR. HOW FAST DOES THE CAR HAVE TO TRAVEL TO COVER THE SAME DISTANCE IN 2.5 HOURS?
WHOEVER ANSWERS, THANK YOU GREATLY FOR YOUR HELP!!!!!!!!!!!!!!!!!!!!!!
Click here to see answer by bucky(2189) |
Question 73085: 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.
Anser:
Show your work in this space.
to me this seems kinda simple. I have tried 35 + 64 = 100 but I don't think that is the correct anser. The reason for this is if you put it in a graph and you draw a straight line from the starting point to the ending point, then the answer would be 65. I'm just not sure how this question is ment.
Click here to see answer by rmromero(383) |
Question 73093: At 1:00 p.m., a car leaves a city and travels north at a rate of 55 mi/h. An hour later, a second car leaves the city and travels south at a rate of 60 mi/hr. At what time will the two cars be 285 miles apart?
Click here to see answer by checkley75(3666) |
Question 73150: A bicyclist traveling in a flat, open area could ride at 3 times the speed of the wind if the wind were absent. On this day, he traveled 42 miles against the wind in 4 more hours than it took to go 4 miles with the wind on the return trip. What is the speed of the bike in no wind?
Click here to see answer by psbhowmick(878)  |
Question 73154: One plane departed from NY and, at the same time, another plane departed from Mexico City. They flew towards each other at rates of 650 mph and 550 mph. If NY and Mexico City are 3,000 miles apart, in how many hours did the planes pass each other?
Click here to see answer by diluzion(5) |
Question 73183: Carlos de la LAma and Dave Kater are both going to attend a mathematics convention out of town. They wish to arrive at the conference at the same time, but Dave must leave for the conference later than Carlos because he has a meeting to attend. When Carlos has driven 50 miles he gets a call from Dave on his cellular phone, and Dave tells him that he is leaving now. Carlos indicates that he is drivng at 55 miles per hour. Dave says that he plans to drive at 70 miles per hour along the same route and should catch up with Carlos in about 3.33 hours.
A. Write the equation used by Dave to determine when he would catch up with Carlos.
B. Solve the equation in part A.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 73258: Two planes leave Honolulu International Airport at the same time. One heads towards the Big Island at 195 mph. the other heads in the opposite direction towards Kauai at 220 mph. How far apart are they after 20 minutes?
Click here to see answer by ptaylor(2198) |
Question 73196: During rush hour, Fernando can drive 35 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando’s rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
Click here to see answer by ptaylor(2198) |
Question 73189: Ralph took 2.5 minutes to run from point a to point b. Clyde took 2 minutes to run from point a to point b. The faster runner runs 3 feet per second faster than the slower runner. Find the speeds of Ralph and Clyde. (make sure to keep the units consistent)
Click here to see answer by ptaylor(2198) |
Question 73257: Earthquakes generate two circular waves, p-waves and s-waves, tht travel outwards. the p-waves travels faster, but generally the s-waves do the most damage. suppose the p-waves have a velocity of 3.6 miles per second and the s-waves have a velocity of 1.8 miles per second. How long after the earthquake will p-waves and s-waves be 80 miles apart?
Click here to see answer by ptaylor(2198) |
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27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620
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