Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 1194743: A certain kilometer post on a road running N 67°E is 2 kms. N 30°W of a police observation tower. Ten minutes after a car passes this kilometer post, it is seen to bear N 33°E of the tower. If the speed limit is 50 kph, was the car over speeding or not? How fast was he driving?
Click here to see answer by math_tutor2020(3835)  |
Question 1194742: Suppose a driver with car leaves home at 8AM and first travels 30 km/hr for two hours, then stops one hour for coffee. He then travels at 80 km/hr for the next five hours, to arrive at the destination. (we imagine a magical car that does not need to accelerate or decelerate)
1. How many hours was this trip, from start to finish?
2. At what time did the driver arrive at the destination?
3. How many km did the driver cover?
4. what was the average rate of speed (including the rest time!), in km/hr for the entire trip?
Click here to see answer by MathTherapy(10809)  |
Question 1195040: A carrier 20 miles northwest of a dock is now returning to the dock at 12mph. A plane leaves its deck at 150 mph to reconnoiter north for a distance of 150 miles. If it is to arrive at the dock at the earliest possible time, in what direction must the pilot fly back? How many minutes later will it arrive?
Click here to see answer by ikleyn(53763)  |
Question 1195111: An aircraft carrier is 3000 miles southeast of an enemy oil base. Its planes have a radius of action of 1000 miles. If the carrier sails N10OE, how far at least will it travel so that the oil base comes within the range of the radius of action of the planes?
Click here to see answer by Alan3354(69443)  |
Question 1195111: An aircraft carrier is 3000 miles southeast of an enemy oil base. Its planes have a radius of action of 1000 miles. If the carrier sails N10OE, how far at least will it travel so that the oil base comes within the range of the radius of action of the planes?
Click here to see answer by ikleyn(53763) |
Question 1195110: An aircraft carrier is 3000 miles southeast of an enemy oil base. Its planes have a radius of action of 1000 miles. If the carrier sails N10OE, how far at least will it travel so that the oil base comes within the range of the radius of action of the planes?
Click here to see answer by Alan3354(69443) |
Question 1195110: An aircraft carrier is 3000 miles southeast of an enemy oil base. Its planes have a radius of action of 1000 miles. If the carrier sails N10OE, how far at least will it travel so that the oil base comes within the range of the radius of action of the planes?
Click here to see answer by ikleyn(53763) |
Question 1195139: Ruel can bike 5 kph faster than Greg. At noon, each boy leaves his
house and travels towards each other. If the distance between their
houses is 15 kilometers and they meet in 30 minutes, what is each
boy's rate?
Click here to see answer by ikleyn(53763) |
Question 1195109: At 10 : 00 a.m. a fuel plane traveling at 160mph left a carrier and headed north to meet another plane in 45 minutes. If the carrier traveled at 15 mph to the dock which bears S 350W . How fast and in what direction should the fuel plane fly in order to rejoin the carrier as it arrives at the dock, at 12:00 noon?
Click here to see answer by Alan3354(69443) |
Question 1195267: The velocity v, in meters per second, of a falling object on Earth after t seconds, ignoring the effect of air resistance, is modeled by the equation v = 9.8t. There is a different linear relationship between time and velocity on Mars, as shown in the table below.
Time || Velocity on Mars
(second) || (meters per second)
0 || 0
4 || 14.8
8 || 29.6
If an object dropped toward the surface of Earth has a velocity of 58.8 meters per second after t seconds, what would be the velocity of the same object dropped toward the surface of Mars after t seconds, ignoring the effect of air resistance?
Click here to see answer by Alan3354(69443) |
Question 1195324: An alloy is made by melting and combining two or more metals. A metalsmith has two alloys, each containing different amounts of silver, that will be melted and combined to form another alloy. Every 10 grams of alloy contains 2 grams of silver, and every 10 gums of alloy contains 7 grams of silver. To obtain 100 grams of an alloy that contains 50 grams of silver, how many grams of alloy A should be combined with alloy?
Click here to see answer by ikleyn(53763) |
Question 1195719: a loaded moving truck is travelling with an average speed that is 20 km/hr faster than a freight train. in the time it takes the train to travel 120 km, the truck travels 200 km. find the speed of the truck
Click here to see answer by ikleyn(53763) |
Question 1195771: Good evening, can you please help me solve this problem?
{When solving an equation with variables in denominators, we must determine the values that cause these denominators to equal 0, so that we can reject these values if they appear as proposed solutions. Find all values for which at least one denominator is equal to 0. Write answers using the symbo ≠ . Do not solve.
5/x+4 -3/x=3
x≠ }
Click here to see answer by Solver92311(821)  |
Question 1195849: Find a power function for both of the following relationships.
The time traveled, t is inversely proportional to the rate, r, traveled, and the constant of proportionality is 3.0
Find the function if q is inversely proportional to the cube of p.
Click here to see answer by ikleyn(53763) |
Question 1195925: Two billiard balls with similar mass have velocities of 3.0 m/s (ball 1) and -2.0 m/s (ball 2) when they meet in an elastic head‑on collision. What is the final velocity of the first ball (ball 1) after collision?
Click here to see answer by ikleyn(53763) |
Question 1195924: Johari pitches a baseball of mass 0.20 kg. The ball arrives at home plate with a speed of 20 m/s and is batted straight back to Johari with a return speed of 15 m/s. What is the magnitude of change in the ball’s momentum?
Click here to see answer by ikleyn(53763) |
Question 1195922: A 1 m meter stick of negligible mass has center of rotation at point O at one end of the stick and two force acted on the other end of the stick. Given F1 = 16 N with 30° and F2 = 8 N with -40°, what is the magnitude of the net torque on the meter stick about the axis of rotation O?
Click here to see answer by ikleyn(53763) |
Question 1195930: In an automobile race, a driver was 240 miles from the finish line after 3 hours. Another driver, who was in a later race, traveled at the same speed as the first driver. After 2.5 hours the second driver was 300 miles from the finish. Find the speed of each driver.
Click here to see answer by ikleyn(53763) |
Question 1195942: Darren drives to school in rush hour traffic and averages 22mph. He returns home in mid-afternoon when there is less traffic and averages 44mph. What is the distance between his home and school if the total traveling time is 1hr 30min?
Click here to see answer by ikleyn(53763) |
Question 1195942: Darren drives to school in rush hour traffic and averages 22mph. He returns home in mid-afternoon when there is less traffic and averages 44mph. What is the distance between his home and school if the total traveling time is 1hr 30min?
Click here to see answer by greenestamps(13334)  |
Question 1195982: To TV stations offer deals for putting ads on. Station 1’s rate is $20 intail charge, plus $1 per day and stations 2’s rate is $8 intail charge, plus $2 per day. On what day will both options equal each other in value. Create a system of equations and use the equal value theorem to solve
Click here to see answer by math_tutor2020(3835) |
Question 1195981: Sam is selling tickets Sam is selling tickets for airplay. There are two types of tickets, children and adults. The children’s tickets cost six dollars and I don’t think it cost $10. Sam starts by 730 adult tickets before selling any children tickets. If Sam wants her children to get sells to match adult ticket sells while still selling both constantly, how many people will she have to sell tickets to? Create a system of equations and use equal value theorem to solve
Click here to see answer by math_tutor2020(3835) |
Question 1195980: Hey community pool is open for 15 weeks each year. There are two payment options: you can pay three dollars per visit or you can buy a season pass for $84 for unlimited access. On what day will both options equal each other in value. Create a system of equations and use the equal value theorem to solve
Click here to see answer by math_tutor2020(3835) |
Question 1195979: John starts driving at a constant rate of 55 mph. Two hours later Lauren starts driving at a constant rate of 62 mph. At what time and how many miles will they meet? Create a system of equations and use the equal value theorem to solve
Click here to see answer by math_tutor2020(3835) |
Question 1195984: A house contractor needs shingles to build a new roof. He wants to hire the company that will give him the lowest price. The first option charges a base rate of $80 +2 dollars per shingle and the second option charge is a base rate of $60 +3 dollars per shingle. On what point will both options equal each other in value. Create a system of equations and use the equal value theorem to solve
Click here to see answer by josgarithmetic(39799) |
Question 1195983: Sam is selling tickets for a play. There are two types of tickets, children and adults. The children’s tickets cost six dollars and I don’t think it cost $10. Sam starts by selling 30 adult tickets before selling any children tickets. If Sam wants her children to get sells to match adult ticket sells while still selling both constantly, how many people will she have to sell tickets to? Create a system of equations and use equal value theorem to solve
Click here to see answer by josgarithmetic(39799) |
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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, 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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, 37621..37665, 37666..37710
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