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

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Question 581263: Two bikes begin traveling towards each other, at a starting distance of 15 miles apart. Bike A is traveling at 10mph, Bike B is traveling at 5 mph. There is a fly that flies from front tire to front tire of the two bikes, going back and forth at a rate of 20 mph. How many miles will the fly travel before he gets squashed between the two bikes?
Click here to see answer by ptaylor(2198) About Me 

Question 581312: Dave and sara live 50 miles apart and travel towards each other on their bikes. Sara leaves on time and dave leaves 2 hours later but tries to make up for it by riding 7 mph faster than sara.Find the speed of both sara and dave on their bikes, if sara is on the bike for 4 hours.
Click here to see answer by josmiceli(19441) About Me 

Question 581323: A cyclist rode the first 16 mile-portion of his workout at a constant speed. For the 12 mile cool down portion of his workout, he reduced his speed by 2 miles per hour. Each portion took the same time. Find his speed during the first portion and the second cool down portion.
Click here to see answer by stanbon(75887) About Me 
Question 581323: A cyclist rode the first 16 mile-portion of his workout at a constant speed. For the 12 mile cool down portion of his workout, he reduced his speed by 2 miles per hour. Each portion took the same time. Find his speed during the first portion and the second cool down portion.
Click here to see answer by richwmiller(17219) About Me 

Question 581331: Me and my friend are traveling In opposite directions and my friend drives 15 mph faster than me after 2 hours we are 190 miles apart what Is both of our speeds?
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Question 581342: how far can a car travel at 90 kilometers per hour in 4.5 hours?
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Question 581347: Marcus drives from one town to another in 6 hours. on the return trip, his speed is increased by 10 mph and the trip takes 5 hours. Find his rate on the return trip. how far apart are the towns?
Click here to see answer by nyc_function(2741) About Me 

Question 581351: During the first part of a trip, a canoeist travels 44 miles at a certain speed. The canoeist travels 15 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 2 hrs. What was the speed on each part of the trip?
Click here to see answer by stanbon(75887) About Me 

Question 581333: send me ans wit xplntn
Three partners invest Rs.2000, Rs.2500 and Rs.1100 in a business and earn a profit of 560. then, he share of person who invested Rs.2500 is
a) Rs.200
b) Rs.250
c) Rs.300
d) Rs.350
A train covers a distance between stations A and B in 45 Minutes. If the speed is reduced by 5 km/hour. It will cover the same distance in 48 Minutes, What is the distance between station A & B in Km? A) 60 B) 64 C) 80 D) 84

Click here to see answer by Alan3354(69443) About Me 

Question 581367: 62. Navigation. In 3 sec, Penny walks 24 ft, to the bow (front) of a tugboat. The boat is cruising at a rate of 5 ft/sec. What is Penny’s rate of travel with respect to land?
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Question 581382: Danielle drives from her home to the store at an average speed of 40mph. She returns home along the same route an an average speed of 60mph an hour. What is her average speed in miles per hour for her entire trip?
Click here to see answer by algebrahouse.com(1659) About Me 

Question 581139: Alexis can clean a gym in 5 hours. Isiah can clean a gym in 6 hours, and ray can do it in 10 hours. They plan to work together to get the job done quickly but Alexis and isiah show up a hour late. Is ray worked for a hour how much longer will it take them to clean the gym if they work together?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 581306: 2 cars travels from same point along parallel lanes of highway for a distance of 10miles. When car 1 travels at a speed of 60 mph to reach end and how much further will car 2 have to travel if it's traveling at 48mph
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Question 581521: How long will it take to travel 2miles going 7mph

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Question 581622: two fihing boat leave the harbor at the same time and having the same float plan.one average 17 knots(nautical miles per hr) while the other average 14.5 knots. how long will it yake for the boats to be 10 nautical miles apart
Click here to see answer by jim_thompson5910(35256) About Me 

Question 581527: The train from C to D breaks down after 1 hour. The train has stopped because of 1/2 hour repairs, then, it continues on at 3/4 of its beginning rate, arriving at B 2 hours late. If the train had covered 75 miles more before the break down, it could be only1 hour late. What is the beginning rate of the train? Explain how you would get the answer.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 581626: The speed of a stream is 5 mph. If a boat travels 94 miles downstream in the same time it takes to travel 47 miles upstream what is the speed of the boat in still water?
Please explain step by step.

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Question 581679: If a car gets 28 mpg, how many gallons does it need of gas to go 350 miles?
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Question 581679: If a car gets 28 mpg, how many gallons does it need of gas to go 350 miles?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 581690: Two trains each make a journey of 330km. One of the trains travels 5km/h faster than the other and takes 30 minutes less time. Find the speeds of the trains.
Solve by forming and solving a suitable quadratic equation.

Click here to see answer by josmiceli(19441) About Me 

Question 581744: Peter cycles 20 miles in 2 1/2 hours.
What is his average speed in miles per hour?
do you convert 2 1/2 hours in a fraction and divide 20/2 = 10 x 5 = 50 miles or is it 20/5=4 then 4x 10?

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

Question 581886: a family traveled 300 miles in 6 hours. what is the rate in miles per hour

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Question 581893: what is the actual length of x
9in, 2in, 6in, 4in, and x
it is two rectangles join together

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Question 581695: I'm having trouble understanding the question the book is asking. Please read the following passage and questions. The professor does not lecture and the text isn't helping - Thank you
A car and a truck are at a gas station. At 2:00 the truck starts traveling along the highway at a constant speed of 54mph. A quarter of an hour later, at 2:15, the car starts traveling along the same highway with a constant speed of 60mph. At what time will the car catch up with the truck?
Solve this problem algebraically using the following steps.
A) Let Δt be the number of hours the car travels between leaving the gas station and catching up with the truck. Is Δt the answer? If not, how can you get the answer once you found Δt?
I think Δt would be the answer as Δt equals the time between the car and truck...correct?
B) Write an expression for the car's distance from the gas station Δt hours after the car starts. Explain your reasoning.
C) Write an expression for the truck's distance from the gas station Δt hours after the car starts. Explain your reasoning.
D) Write your equation and tell why you set the two sides equal.

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Question 581710: The Smiths are moving across the state. Mr. Smith leaves 3.5 hours before Mrs. Smith. If he averages 40 mph and she averages 60 mph, how long will Mrs. Smith have to drive before she overtakes Mr. Smith?
I need a Let statement, an equation and a conclusion and I have to show all my work.

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Question 581952: How fast is a car going if it goes a mile in 27 seconds
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Question 581972: Two women live on the same street, but live 1.5 miles apart. Each morning both women begin running at the same time in the same direction. Because of where she lives, Jane is always 1.5 miles ahead of Sue when they start running. Jane runs at a rate of 6 mph and Sue runs at a rate of 8 mph. How far from SUE'S house are they when Sue catches up? Be sure to label your answer. Round to the nearest whole number if needed.

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

Question 582008: This is a Pre-Calculus problem involving vectors.
A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph.
a. What is the angle of the path of the sailboat?
b. What is the sailboat's speed with respect to the ocean floor?

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Question 582126: the car traveled 350 miles on 15 gallons of gas. the car averaged how many miles per gallon
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Question 581717: Integrate with respect to x : \int_{0}^{1}4xdx
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Question 582265: If a train 1 kilometer long is passing through a tunnel 7 kilometers long at a speed of 80 kilometers per hour how long will it take the train to pass completely through the tunnel?
Click here to see answer by mananth(16946) About Me 

Question 582260: Mr. Stewart rode a distance of 12 miles into the country on a bicycle and returned on foot. His rate on the bicycle was 4 times his rate on foot. The entire trip took 5 hours. How long did he travel?
I am not sure how to set up this problem...

Click here to see answer by mananth(16946) About Me 
Question 582260: Mr. Stewart rode a distance of 12 miles into the country on a bicycle and returned on foot. His rate on the bicycle was 4 times his rate on foot. The entire trip took 5 hours. How long did he travel?
I am not sure how to set up this problem...

Click here to see answer by KMST(5328) About Me 

Question 582245: On a river, a kayaker travels 2 miles upstream and 2 miles downstream in a total of 5 hours. In still water, the kayaker can travel at an average speed of 2 mph. Based on this information, what is the average speed of the current of this river?
Click here to see answer by mananth(16946) About Me 

Question 582213: After about 8 hours of a steady wind, the height (y) of waves in the ocean is linearly related to the duration of time (x) the wind has been blowing. During a storm with 40-knot winds, the wave height after 8 hours was found to be 22 feet, and after 23 hours it was 41 feet.
(a) Write a linear equation that relates the height to time.
(b) How long will the wind have been blowing for the waves to be 60 feet heigh?

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

Question 582282: You drive to your Nana’s at a speed of 20 km/h and then come home at a speed to 30 km/h. What is the average speed for the whole trip?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 582597: On a straight inclined track, a ball rolling uphill takes 1.3 seconds to slow down from a velocity of 135 cm/s to a velocity of 65 cm/s. On the same track, how much time would it take a rolling ball with velocity 85 cm/s to reach a velocity of 0? Explain your reasoning. Do not use algebra.
I know that it took 1.3 sec to decrease it's velocity from 135 cm/s to 65 cm/s by 70 cm/s. If it took 1.3 sec for that, would the velocity decrease from 85 cm/s to 0 cm/s at about 2.5 sec, which I believe I'm incorrect on.

Click here to see answer by scott8148(6628) About Me 

Question 582674: If a airplane was travling 1260 miles for 1 hour and 40 minutes what will be the speed?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 582689: 1/4 of an inch is equivalent to 8 feet am model house is 3 inches tall how tall must the actual house be
Click here to see answer by jim_thompson5910(35256) About Me 

Question 582706: what is 756 rounded to the nearest tenth?
Click here to see answer by eversteen(27) About Me 

Question 582554: It takes Sally three minutes to go one mile with the wind at her back. Then it takes her four minutes on the ride back with the wind against her. What is the rate of the speed of the wind? Please help me. I tried this and got the answer of one over twentyfour.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 582322: If it takes 2hrs and 30mins to encode 300pages. How many minutes will it take to encode 1 page?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 583022: Jim rides his bike for 20 minutes and travels 3 miles. Find his speed
Click here to see answer by Alan3354(69443) About Me 

Question 583025: HOw far will a speed boat going 64 miles per hour travel in 2 1/2 hours?
Click here to see answer by JBarnum(2146) About Me 

Question 583066: a child throws a ball straight up with a velocity of 10 m/s. how long will the ball take to reach it's highest point

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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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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, 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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