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

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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(1513)

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(22740)

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(22740)

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(75887)

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(24713)

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(75887)

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(7384)

Question 177527: 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?

Click here to see answer by gonzo(654)

Question 177594: 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.
Click here to see answer by stanbon(75887)

Question 177797: PLeaseeeeeeee helpppppppppp !!!!!!!
Jean is walking to his grand mothers house. He walked 1km and half of the distance that is left.If he still has to cover 1/3 of the Initial distance and 1km , what distance did he walk to go to his grand mothers house ?
GOD help me !!!!!!!!!!
Click here to see answer by Mathtut(3670)

Question 177841: Six drivers were traveling on the highway at the rates listed below.How many miles per hour was each driver traveling? How do you right each answer from slowest to the fastset?
1. Dan: 110 miles in 2 hours 4.Nan :300 miles in 5 hours
2.Stan: 204 miles in 3 hours 5.Jan :14 miles in 15 minutes
3.Ann: 25 miles in 1/2 hour 6.Fran:22 miles in 20 minutes
Click here to see answer by Mathtut(3670)

Question 177962: How many meters does a wheel with a diameter of 18cm travel after six revolutions?
Click here to see answer by Mathtut(3670)

Question 178059: c=1/2gv
g=_____
Click here to see answer by Mathtut(3670)

Question 178057: Solve
f=wsz, for z
The solution is z=_____
Click here to see answer by Mathtut(3670)

Question 178056: Solve the formula for the indicated variable.
P=c+b+2a, for c
c=
Click here to see answer by Mathtut(3670)

Question 178055: Solve for k.
F=kq
Click here to see answer by Mathtut(3670)

Question 178063: 9x>-9
What is the solution. Type the inequality symbol, followed by the solution.
The greater than symbol should have a line under it, but i didn't know how to type it on the computer.
Thanks,
Click here to see answer by Mathtut(3670)

Question 178095: Meteorologists have determined that the duration of a storm is dependent on the diameter of the storm.
The function f(d)=.07(the square root of d)raised to the third power defines the relationship where d is the diameter of the storm in miles and f(d) is the duration in hours. How long will a storm last if the diameter of the storm is 9 miles? The answer should be written in function notation in decimals.

I'm lost!!!!
Click here to see answer by gonzo(654)

Question 178125: A car travels 40 mph for 20 miles, 36 mph for 24 miles, and 48 mph for 16 miles. what is its average speed?
Click here to see answer by josmiceli(19441)

Question 178064: Chris and Jan drove a total of 618 miles in 12.8 hours. Chris drove the first part of the trip and averaged 35 miles per hour. Jan drove the remainder of the trip and averaged 55 miles per hour. For what length of the time did Chris drive?
Click here to see answer by ankor@dixie-net.com(22740)

Question 178061: A SPEEDBOAT COULD TRAVEL AT 5 TIMES THE SPEED OF A CURRENT. THUS, IT COULD TRAVEL 300 MILES DOWNRIVER IN 2 HOURS MORE THAN IT TOOK TO TRAVEL 150 MILES UPRIVER. WHAT WAS THE SPEED OF THE BOAT IN STILL WATER?
Click here to see answer by ankor@dixie-net.com(22740)

Question 178013: you are hiking a six mile trail at a constant rate in topanga canyon. you begin at 10 am. at noon you are two miles from the end of the trail. write a linear equation that gives the distance d in miles from the end of the trail in terms of time t. let t represent the number of hours since 10 am
Click here to see answer by ptaylor(2198)

Question 178270: My question is how to solve this problem.
Jeff starts driving at 65mph from the same point that Lauren starts driving at 40mph. They drive in opposite directions , and Lauren has a half-hour head start. How long will they be able to talk on their cell phones that have a 480-mile range?
I tried to work it using the D=R*T
65x+40(x+1)=480
65x+40x+40=480
105x+40=480
-40 -40
105x=440
and the answer I got was 4 4/21 but that is not one of the options.
The options are: 4 8/21
4 17/30
4 16/21
4 4/7
Thank You for your help!
Click here to see answer by EMStelley(208)

Question 178340: The speed of an Amtrak passenger train is 12 mph faster than the speed of a Central Railway freight train. The passenger train travels 400 miles in the same time it takes the freight train to travel 320 miles. Find the speed of each train.
Click here to see answer by mial_ibanez22(3)

Question 178438: In 1927, Charles Lindbergh was the first person to fly nonstop across the Atlantic Ocean. Todat, commercial airliners fly from New York to Paris five times as fast, or 400 miles/hour faster than Lindergh's planes.
(A) At what speed did Charles Lindbergh's plane fly?
(B) At what speed do commercial airplanes fly today?
Click here to see answer by josmiceli(19441)

Question 178582: Can someone help me write the equation to solve this word problem? A bus and a train start for the same destination at the same time. The highway runs along the railroad track. The bus averages 31mph, and the train averages 39mph. In how many hours will they be 24 miles apart?
Click here to see answer by solver91311(24713)

Question 178600: The formula d=16t^2 gives the approximate distance in feet (d) traveled by a falling object in t seconds. Approximately how long would it take a baseball dropped from the top of the Gareway Arch in St. Louis to hit the ground if the arch is 630 feet high?
Click here to see answer by stanbon(75887)

Question 178714: Please help.
Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by josmiceli(19441)

Question 178884: I don't know why I just can't "get" distance/rate/time problems! I am really trying but am stuck again! Thanks for any help.
A mountain climber is injured. His partner radios for help, then the two begin to descend from the 12,500 foot mountain at a speed of 2000 feet per hour. The rescue team starts at an altitude of 6,500ft and climbs 1000 feet per hour. How long does it take the resuers to reach the climbers? At what height will they meet?
I came up with 171.43 hours - can't be right!!! Please set me right! Thanks.
Click here to see answer by Alan3354(69443)

Question 178882: a car travels 40 mph for 20 miles, 36 mph for 24 miles, and 48 mph for 16 miles. what is its average speed? ( show work)
Click here to see answer by Alan3354(69443)

Question 178882: a car travels 40 mph for 20 miles, 36 mph for 24 miles, and 48 mph for 16 miles. what is its average speed? ( show work)
Click here to see answer by nerdybill(7384)

Question 178963: The sign says you are leaving Missoula, Butte is 120 miles away, and Bozeman is 200 miles away. There is a rest stop halfway between Butte and Bozeman. How far is the rest stop from Missoula?
Click here to see answer by Mathtut(3670)

Question 178973: If a car travels 55mph how many hours will it travel in 6 hours?
Click here to see answer by Mathtut(3670)

Question 179000: If Tedd can run 5 miles in 56 minutes how many miles would he run in 84 minutes? Can somebody help me set this word problem up? I have tried everything and can't get it right.
I also have another word problem that I am fumbled with.
There are 630 dishes that need washed. Jim can do it in 105 minutes. His friend can do it in 70 minutes. If they do it together how many minutes will it take to rinse 630 dishes?? Please help! Ty in advance. Judy
Click here to see answer by checkley75(3666)

Question 178839: The Cape Cod canal is 11 miles long. A passenger boat goes from New York to Boston, via the canal and ocean, in 15 1/3 hours, while a freighter makes the same trip in 30 hours. On the ocean the passenger boat averages 18mph, while the freighter averages half that rate. Inside the canal the freighter's rate was 2/3 that of the passenger boat. How far from New York is Boston, via the canal and ocean? (Hint: Use a table for the canal to obtain information used in the second table for the ocean.)
Using the Rate, Time, Distance table in my book we came up with x=8 1/4 or x=33/4. When I enter 33/4 into the equation I get 11 over 33 over 4. I am not sure how to work a fraction like this. Please help.
Click here to see answer by ankor@dixie-net.com(22740)

Question 178969: A total of 129 players entered a single-elimination handball tournament. In the first round of play, the top seeded player received a bye and the remaining 128 players played in 64 matches. Thus, 65 players entered the second round of play. How many matches must be played to determine the tournament champion?
Click here to see answer by stanbon(75887)

Question 179128: If a dam on a river bursts and causes the water to flow at a velocity 100 ft/sec, how long (in minutes) will it take for the foodwaters to inundate a town located 10 miles downstream?
Click here to see answer by Mathtut(3670)

Question 179137: John and Tony start from Grays lake at the same time and head for a town 10 miles away. John walks twice as fast as Tony and arrives 3 hours before Tony. Find how fast each walks?
This doesn't seem like it has enough information to be solved, but thats not true as there is a correct answer, I'm just not sure how to create the chart in the proper format to get the right answer.
Click here to see answer by ankor@dixie-net.com(22740)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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