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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 204655: A truck leaves a hotel at 45 mph to go to the airport which is exactly 1 hour away. When it is half way there,a taxi starts from a hotel starting at 50 mph for the airport. How far is the taxi from the airport when the truck reaches the airport?
Click here to see answer by Alan3354(69443)

Question 204638: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 9ft less than the length of the ladder. How high up the side of the building is the top of the ladder if the distance is 2ft less than the length of the ladder?
Click here to see answer by alicealc(293)

Question 204851: how fast (how many mph) does A need to drive to travel 2385 miles in 48 hours
Click here to see answer by rfer(16322)

Question 204814: Two cyclists start biking from a trails start 3 hours apart. the second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist caches up with the first from the time the second cyclist started biking?
Click here to see answer by ankor@dixie-net.com(22740)

Question 204972: if you travel 250 miles in 2 hours and 25 minutes how fast are you going in mph?
please show calculation
Click here to see answer by rfer(16322)

Question 205033: A woman at a point on the shore of a circular lake with radius 2 miles wants to arrive on the exact opposite side of the lake in the shortest possible time. She can walk 4mph and row a boat 2mph. How should she proceed?
Click here to see answer by ankor@dixie-net.com(22740)

Question 205040: After being shot into the air, the height of a rocket is h=80t-16t^2 where h is the height above the ground, in feet, after t seconds. After how many seconds will the rocket be at a height of 96 feet?
Click here to see answer by Alan3354(69443)

Question 205065: Boating on the lake The Clarke family went sailing on a lake. their boat averaged 6 kilometer per hour. the Rourke family took their outboard runabout for a trip on the lake for the same amount of time. their boat averaged 14 kilometers per hour. the Rourke traveled 20 kilometers farther than the Clarke family. how many hours did each family spend on their boat trip?
unsure how to even start on this never understand word problems.
Click here to see answer by stanbon(75887)

Question 205111: I am an online college student. The name of my book is Blitzer College Algebra 5th edition. This is a student's solution manual. The author is Prentice Hall/Pearson.
Please help with this problem. I did get part of the solution, but I am not sure how to get the last two parts. This is the problem and what I have so far.
The path of a falling object is given by the function s=-16t+vot+so where vo represents the initial velocity in ft/sec and so represents the initial height.The variable t is time in seconds, and s is the height of the object in feet.
a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top os a 40-foot building, write the height equation using this information.
answer: s=-16t^2+32t+40
b) How high is the rock after 0.5 seconds?
answer: 52 feet solution: s=-16(0.5)^2+32(0.5)+40
s=-16(0.25)+32(0.5)+40
s=-4+32(0.5)=40
s=-4+16+40
s=12+40
s=52 feet
These next two questions pertain to the same problem, but I am not sure how to get the equations that need to find my answers.
c) After how many seconds will the rock reach maximum height?
d) What is the maximum height?
Your help will be greatly appreciated. Thank you, Rae
Click here to see answer by Alan3354(69443)

Question 205118: Machine X produces W widgets in five minutes. Machine X and Y, working at the same time, produce W widgets in two minutes. How long will it take Machine Y, working alone to produce W widgets?
Click here to see answer by stanbon(75887)

Question 205117: If a train travels M miles in H hours and 45 minutes, what is the average speed in miles per hour?
Click here to see answer by stanbon(75887)

Question 205131: How far will the bird travel by the time car 1 and car 2 meet? car1 is traveling at 60 mph from the east and car2 is traveling 40 mph from the west. The cars are 100 miles away? and they all start at the same time, the bird starts above car1 going at 80 mph.
Click here to see answer by Alan3354(69443)

Question 205013: A certain plane flying with the wind travels 540 km in 2 hours. Later, flying against the same wind, the plane travels 690 km in 3 hours. Find the speed of the plane in still air and the speed of the boat.
A boat takes 3 hours to go 24 km upstream. It can go 36 km downstream in the same time. Find the speed of the current and the speed of the boat.
Click here to see answer by ankor@dixie-net.com(22740)

Question 205157: A Train Leaves Los Angeles at 2:00 PM. A second train leaves the same station in the same direction at 4:00 PM. The second train travels 24mph faster than the first. If the second train overtakes the first at 7:00pm, what is the speed of each of the two trains?
Please Help! Thank you.
Click here to see answer by checkley77(12844)

Question 205189: How far can a car going 45mph travel in 40 min. Please show your. My book says 30 miles but I can't figure out how they did it. Is it d=r/t Please help, thank you Sophie age 12.
Click here to see answer by rfer(16322)

Question 205239: John runs in a race against Matthew. Matthew runs twice as fast as John for the first two kilometers. But during the remainder of the race, he runs half as fast as John. If the race ends in a tie , and if John runs at a constant rate, how far do they each run?
Click here to see answer by stanbon(75887)

Question 205271: A bus takes 12 hours to travel the same distance that an airplane takes 1.5 hours. the average speed of the airplane is 120 miles per hour, 5 times faster than the bus. what is the average speed of the bus? Thanks
Click here to see answer by Alan3354(69443)

Question 205133: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from te crossing?

Click here to see answer by ankor@dixie-net.com(22740)

Question 205134: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
Click here to see answer by ankor@dixie-net.com(22740)

Question 205339: URGENT QUESTION NEEDED WITHIN @ DAYS TIME(thank you)the question is_
if y=(kx^2)/sqaure root (P) find the % change in y if x inxreases by 10% and p decreases by 15%
thanks you soo much
Click here to see answer by nerdybill(7384)

Question 205338: URGENT QUESTION NEEDED WITH @ DAYS TIME (Tank you soo much)the question is_
a ball is thrown vertically upwards and its heights at anytime T is given by
h=25T-5T^2+1
(h=is in metres, T is in seconds)
Find; a) height after 2sec
b)at what time will it reach its maximum height
c)what is the maximum height
d)how long is the ball above 20m
Click here to see answer by Alan3354(69443)

Question 205399: how long will it take to drive 325 miles at 55 miles per hour?

Click here to see answer by checkley77(12844)

Question 205369: A plane flies x mph. How far can it fo in y hours?
Click here to see answer by checkley77(12844)

Question 205423: BILLS UPSTREAM CANOE TRIP TOOK 2.7 HOURS LONGER THAN THE RETURN TRIP. IF HE AVERAGED 2 MPH ON THE UPSTREAM TRIP AND 5MPH ON THE RETURN TRIP, THEN HOW LONG WAS THE UPSTREAM TRIP?
Click here to see answer by tedian.caseres(1)

Question 205456: Two cars, A and B, having average speeds of 30 and 40 mph, respectively are 280 miles apart they start moving towards each other at 3pm, At what time will they meet?
Click here to see answer by checkley77(12844)

Question 205628: At the moment when its altitude is 300 m, a plane is flying with a horizontal speed of 200km per hour and an unknown vertical speed. What is the minimum average vertical speed,in km/hr, required to avoid a 500 m tall mountain situated at a horizontal distance of 1km away from the plane?
(A)30 (B)40 (C)100 (D) 200 (E) None of these

Click here to see answer by ankor@dixie-net.com(22740)

Question 205607: Cindy and Dave left the dock to canoe downstream. Fifteen minutes later Tammy left by otorboat with the supplies. Since the motorboat traveled twice as fast as the anoe, it caught up with the canoe 3km from the dock. What was the speed of the motorboat?
Click here to see answer by ankor@dixie-net.com(22740)

Question 205665: a rectangular box with a square base is shown below. if the volume of the box is 256 cubic feet and the height of the box is one half the length of the side of the base, find the height of the box.
Click here to see answer by ankor@dixie-net.com(22740)

Question 205654: if the vertex angle of an isosceles triangle is 40 degrees then find the measure of the other two angles. for steps 1 and 2 of the five step solution ,draw the triangle and label the angles with the appropriate measures or variables. then finish the last 3 steps as usual.
here is the five step solution
1.)use variables to represent your unknowns:
2.)draw a diagram
3.)draw a table
4.)set up and solve your equation

the table has three boxes going down and 4 going across
thank u i tried my best to figure this out but couldnt
!!!
Click here to see answer by Theo(13342)

Question 205680: How fast would you have to drive to catch a car driving at twenty miles and hours with a distance of 0.4 miles between them.
Click here to see answer by Alan3354(69443)

Question 205680: How fast would you have to drive to catch a car driving at twenty miles and hours with a distance of 0.4 miles between them.
Click here to see answer by stanbon(75887)

Question 205730: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hour leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started?
Click here to see answer by rfer(16322)

Question 205740: Hi all, thanks for all your help so far; ive almost gotten through my vectors stuff, but I need help with the following question:
A particle with mass m = 2.5 is moving along a straight trajectory. The distance covered by a particle is described by the function S(t) = t^3 + 2t^2 where t>0 is the time.
a) Kinetic Energy E of a particle is given by E = mv^2/2, where v is the particle speed. Find a function that describes the kinetic energy of this particle.
I know its a little long, I cant seem to make sense of it thouh, so any help will be awesome.
Thnaks, -Nick.
Click here to see answer by nerdybill(7384)

Question 205787: In Slippery Creek, Janna can row 50 km downstream in 5 hours or she can row 25 km upstream in the same amount of time. Find the rate she rows in still water.
Click here to see answer by ankor@dixie-net.com(22740)

Question 204527: Firneed help urgent!
1. Two planes leave NAIA at 4 p.m., one traveling east at 850 kph and the other, west at 750 kph. At what time will they be 4000 km apart?
2. An airplane which travels 180 miles per hour leaves the airport 8.5 hours after a ship has sailed. If it overtakes the ship in one hour and 30 minutes, find the rate of the ship.
3. Rolly and Romy are 15 km apart and are walking towards each other. If rolly is walking at rate of kph and romy at a rate of 3 kph, in how many hours will they meet?
4. Albert sets out on a hike. After walking for a while at 6 kph, he discovers that he has forgotten his lunch. A passing bus takes him back home at 30 kph. How far did he walk if he was gone for one hour?
Click here to see answer by Targetweek(62)

Question 205685: A car travels from one town to another town at a speed of 18mph. If it had gone 18mph faster,
it could've made the trip in a half hour less time. How far a part are the towns?
Click here to see answer by ankor@dixie-net.com(22740)

Question 205860: Two cars, A and B, are traveling along the same road at an average speed of 48 kph and 40 kph respectively. When A is 16 km from town C along the road, B is 12 km from C. A passed B "x" km from c. Find x and interpret the result.
Click here to see answer by vleith(2983)

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, 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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