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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 414003: if you jog 1 mile into a strong wind, does it count as 2?
Click here to see answer by solver91311(24713)

Question 413916: A train passes two bridges of lengths 800 m and 400 m in 100 seconds and 60 seconds respectively The length of the train is?
Click here to see answer by ankor@dixie-net.com(22740)

Question 413829: a boy walked into the countryside at a rate of 5mph and returned over the same route on a bus traveling at 30 mph.the entire trip took 4 1/2 hours.which equation could you use to solve this problem?
Click here to see answer by ankor@dixie-net.com(22740)

Question 413828: a man jogged to his friends house at a rate of 6 mph. the trip took 20 minutes. how long will it take to return home if he can maintain a rate of 8 mph?
Click here to see answer by ankor@dixie-net.com(22740)

Question 414260: Your help is appriciated.
I have worked 12 hours on this problem.
To get to his parent's house, John travels 60mph on land and then uses a motor boat that travels at a speed of 20mph in still water. John goes by land to a dock and then travels on a river against acurrent of 4mph. He reches hs parent's home in 4.5 hours. The return trip takes 3.5 hrs. How far does his parents live from John's house?
The answer given is 138 miles. I am at a loss on how to solve this problem.

Click here to see answer by mananth(16949)

Question 414223: Please help.
a boat can go 30 miles down stream 3/5th the time that it takes to return the same distance upstream. If the rate of the current is 3 miles per hour, what is the rate of the boat in still water?
a. 8mph
b. 10mph
c. 12mph
d. 16mph
Click here to see answer by mananth(16949)

Question 414279: 1. A train, starting at noon, travels north at 40 mph. Another train, starting from the same point at 2pm, travels east at 30 mph. Find to the nearest mile/hr how fast the 2 trains are separating at 3pm.

Click here to see answer by mananth(16949)

Question 414335: Thanks for your help.

Shouldn't the 500 meters be converted to .5km and the 1000 meters be converted to 1km.
Same as converting 26400ft. to miles, to get mph. 26400ft./5280ft. = 5 miles.
My calculation would be (.5km + 1km / 180km/h) x 60 mins. = .5 minutes.
Which equals 30 seconds.
Question 1157: Two trains, one 500 meters long and the other 1000 meters long, are traveling in opposite directions on parallel tracks. The first train is traveling at 100km/h and the other at 80km/h. How long will it take for the trains to pass each other from the moment the locomotives are at the same point?
Answer by khwang(438) (Show Source):
You can put this solution on YOUR website!
The diagram as below.
500 m 100 km/h ->
A<------>B (1st train)
C<------------->D (2nd train)
<- 80 km/h 1000 m
When they pass each other after t hrs,diagram as
A B
<------>
<------------->
C D
After t hrs, B moves 100 t km and C moves 80 t km.
So we have 100 t + 80 t = BC = CD + AB = 1000+ 500
So, 180 t = 1500, t = 25/3 hrs
[Or get t by (1000+ 500)/(100+80) directly.
Answer: it takes 25/3 hrs for the trains to pass each other
from the moment the locomotives are at the same point.
Or get t by (1000 + 500)/ (1000+ 60) directly.

Click here to see answer by Alan3354(69443)

Question 414401: The speed of a plane is 120 miles/hour in a calm. With the wind it can cover a certain distance in 4 hours, but against the wind it can cover only 3/5 of that distance in the same time. Find the velocity of the wind.
Here is what I got.
Let X = velocity of the wind in X miles/1 hour.
Calm:
v = 120 miles/1 hour
Downstream:
X miles in 4 hours, or X miles/4 hours, which is 0.25 X miles in 1 hour
Upstream:
3/5 X miles in 4 hours, or 3/20 X miles in 1 hour
Then,
time downstream = time upstream
distance traveled downstream / (velocity of the plane downstream + velocity of the wind) = distance traveled upstream / (velocity of the plane upstream - velocity of the wind)
0.25X miles / [{(120+X) miles}/1 hour] = 3/5X miles / [{(120-X) miles}/1 hour]
0.25X/(120+X) = 0.6X/(120-X)
0.25X (120-X) = (120+X)0.6X
Now I am stuck because I am getting X squarred. Please help. Thank you very much.
Ivana
Click here to see answer by ankor@dixie-net.com(22740)

Question 414438: Neglecting air resistance, the number of feet s that an onject fall from rest during t seconds is give by the formula s+16tsquared. How long would it take an object to reach the earth if it is dropped from 12,000 feet?
Click here to see answer by stanbon(75887)

Question 414435: Suppose at the kickoff of a football game, the receiver catches the football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? (A football field is 100 yards long and 160 feet wide.)
Click here to see answer by stanbon(75887)

Question 414444: At noon a private plane left Austin for Los Angeles, 2100 km away, flying at 500km/hr. One hour later a jet left Los Angeles for Austin at 700km/hr. At what time will they meet?
Click here to see answer by Alan3354(69443)

Question 414433: Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered. What was the speed of each cyclist.
Click here to see answer by stanbon(75887)

Question 414387: A truck covered the distance between two towns at an average speed of 50mph. It moved 65mph for the first 2/5 of the distance before the truck driver stopped for a 1 and a 1/2 hour break. After that, he continued driving for another 195 miles till he arrived at his destination. At what speed was the truck moving during the last 195 miles of the trip? Give your answer in mph.
Click here to see answer by lwsshak3(11628)

Question 414360: Julie and Tess are running around two separate circular tracks. Julie is running around a track with a radius of 12 yards, while Tess is running a track with a radius of 30 yards. They both decide to sprint. Julie's sprint covers a 45 degree arc, while Tess' sprint covers a 120 degree arc. Find the sum of the lengths of the two sprints to the nearest tenth of a yard.
Click here to see answer by ankor@dixie-net.com(22740)

Question 414489: At 1:00 PM you leave your house for the store at 17 km away. You drive with a constant velocity of 94 km/hr. How long will it take you to reach the store? How far away from the house would you be at 2:30 PM if you kept driving without stopping at the store?
Click here to see answer by stanbon(75887)

Question 414486: A coal train engineer makes a trip of 580 miles in a total of 12 hours. He travels the first part of the trip by car at 40 mph. The second part of the trip is by train at 60 mph. How far does he travel by car? How far by train?

Click here to see answer by lwsshak3(11628)

Question 414498: A plane flies 720 miles against the wind in 3 hours. The return trip with the wind takes only 2 1/2 hours. Find the speed of the wind. Find the speed of the plane in still air. Can you show me how to set this problem and how to work it please?
Click here to see answer by ankor@dixie-net.com(22740)

Question 414330: If I start at a speed of 12mi/h and end at a speed of 32mi/h and I traveled 2 miles, what was my acceleration rate?
Click here to see answer by ankor@dixie-net.com(22740)

Question 414524: a motorboat took 2 hours to make a downstream trip witha 5 mph current. the return trip against the same current too 4 hours. find the speed of the boat in still water.
Click here to see answer by josmiceli(19441)

Question 413427: An object is thrown upward from a height of 50 ft with an initial velocity of 48 ft per sec. The height in feet after t seconds is given by h=-16t^2+48t+50
a. Find the height of the object 3 sec after it is thrown up
b. Find the maximum height of the object and the time it takes the object to reach this height
Click here to see answer by lwsshak3(11628)

Question 414604: train A is 18mph faster than train B. Train A travels 250 miles at the same time as train B travels 160 miles. I need to find the speed of each train.
I dont need an answer, just an equation because i am stuck.
Click here to see answer by mananth(16949)

Question 414612: John paddled for 4hrs with a 4 km/hr current to reach a campsite. The return trip against the same current took 10hrs. Find the speed of John's canoe in still water.
I tried d=(r-4)4 and d=(r+4)10
10r+40 = 4r-16
6r+40 = -16
6r = -56
r=-9.333
Doesn't seem right? a - in still water?
Click here to see answer by stanbon(75887)

Question 414620: If Dave drives at a steady speed of 50 miles per hour, how long will it take him to drive 10 miles?
how do i do this??
Click here to see answer by ewatrrr(24785)

Question 414591: A cyclist completed 5 laps of a circular track in one hour. If his average speed was 20 miles per hour, what is the diameter of
the track
Click here to see answer by ewatrrr(24785)

Question 414615: A bus traveling 40mi/h and a car traveling 50mi/h cover the same distance. The bus travels 1 hr more than the car. How many hours did each travel?
Click here to see answer by ewatrrr(24785)

Question 414621: two men each travel 500 miles after leaving a certain place at the same time. The first man travels 10 miles per hour faster than the second man and hence arrives 2.5 hours earlier at the destination. How fast did each travel?
Click here to see answer by ewatrrr(24785)

Question 414552: A car travels at an average speed of 64 miles per hour. How long does it take to travel 304 miles?
Click here to see answer by ewatrrr(24785)

Question 414434: Bay City and Vernonville are 168 miles apart. A car leaves Bay City traveling towards Vernonville, and another car leaves Vernonville at the same time, traveling towards Bay City. The car leaving Bay Caity averages 10 mph more than the other, and they meet after 1 hour and 36 minutes. What are the average speeds of the cars?
Click here to see answer by ankor@dixie-net.com(22740)

Question 414447: Marie rode her bicycle from her home to the bicycle shope in town and
then walked back home. If she averaged 6 miles per hour riding and 3
miles per hour walking, how far is it from her home to the bicycle shop if
her total travel time was 1 hour?
Click here to see answer by ewatrrr(24785)

Question 414354: The cost of renting a car is $18 per day plus 16 cents per mile. Find the cost of renting a car for a three day trip of 1000 miles.
Click here to see answer by ewatrrr(24785)

Question 414679: During a multi-day camping trip, Terry rowed 17 hours downstream. It took 26.5 hours rowing upstream to travel the same distance. If the speed of the current is 6.8 k/h less than his rowing speed in still water, find his rowing speed and the speed of the current.
t is time, 26.5 and 17
r is rate, r, r-6.8
Distance is the same, so I set the equations equal to each other?
17r = 26.5(r-6.8)
I'm not sure if this is correct, and where I go from here.
Please advise.
Thank you.
Click here to see answer by stanbon(75887)

Question 414764: On a 600-mile trip, the traveler traveled 50 miles per hour for the first 1/3 of the trip and at 40 miles per hour for the rest of the trip. What was the traveled average speed for the entire trip?
The answer is supposed to be 300/7 mph, but I don't know how to get that. Can someone please help?
Click here to see answer by josmiceli(19441)

Question 414829: two trains leave chicago at the same time traveling in opposite directio. one is going 60 miles per hour and the other is going 65 miles per hour. how long before they are 375 miles a part
Click here to see answer by sudhanshu_kmr(1152)

Question 414847: I am traveling 35 mph to the game that is 32 miles from my home, how long will it take me to get there? please give me an equation I can use in the future. Thank you.
Click here to see answer by ankor@dixie-net.com(22740)

Question 414992: suppose you want to combine two types of fruit drink to creat 24 kkilograms of a drink that will be 5% sugar by weight. fruit drink A is 4% sugar by weight, and fruit drink B is 8% sugar by weight
Click here to see answer by stanbon(75887)

Question 415075: a motor boat took 3 hours to make a downstream trip with a 4 mph current. The return trip against the same current took 5 hours. Find the speed of the boat in still water.
Click here to see answer by mananth(16949)

Question 415066: patrick drove 5 hours to attend a meeting. on the return trip, his speed was 10 miles per hour less and took 6 hours. what was his speed each way? how far did he drive to the meeting?
Click here to see answer by mananth(16949)

Question 415118: Which of the following is a factor of x^2 - 7x - 8?
A)(x + 1)
B)(x + 8)
C)(x - 8)
D)(x - 1)
E)(x - 7)
Click here to see answer by sudhanshu_kmr(1152)

Question 415092: If Alexandra increases her usual driving speed by 15 km/h, it will take her 2h less to make a trip to her grandparents' house. If she decreases her usual speed by 15 km/h, it will take her 3 h more than usual to make the trip. How long is the trip?
Click here to see answer by mananth(16949)

Question 415215: A woman can hike 1 mph faster down a trail then she can uphill.
It takes her 3 hours to go downhill and 6 hours uphill.
What is her speed downhill?
Click here to see answer by josmiceli(19441)

Question 415262: an airplane flies 4110 miles with the wind and 330 against the wind in the same lenght of tome if the speed of the wind is 20 mph what is the speed of the airplane still on air?
Click here to see answer by sudhanshu_kmr(1152)

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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, 37621..37665, 37666..37710