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

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Question 346375: during a multi day camping trip, terry watkins rowed 17 hrs downstream. It took 26.5 hrs rowing upstream to travel the same distance. If the speed of the current is 6.8 km per hour less than his rowing speed in still water, find his rowing speed and the speed and the speed of the current
Click here to see answer by scott8148(6628) About Me 

Question 346847: maria drove 176,000 yards in 2 hours. how many miles per hour did she drive on average?

Click here to see answer by rfer(16322) About Me 

Question 346415: Fernandos's motorboat can travel 30mi/h in still water. if the boat can travel 9 miles downstram in the same time it takes to travel 1 mile upstream what is the rate of the river's current?
Click here to see answer by scott8148(6628) About Me 

Question 346734: On Saturday, a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Saturday?
Click here to see answer by nyc_function(2741) About Me 

Question 346851: How long does it take an automobile traveling in the left lane at 84.2 km/h to overtake another car that is traveling in the right lane at 37.1 km/h, when the cars' front bumpers are initially 121 m apart?
THANK YOU SO MUCH!!

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

Question 346904: If Andy bikes at a steady rate of 15 miles per hour, how many miles will he bike in four minutes? Ive recently tried to do 15 divided by 60 = 25, and I didn't know what to do after this.
Thank you for reading this question, it is appreaciated.

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

Question 346927: If I was jogging a distance of 4 miles at a rate of 3.2 miles a hour how long will it take?

Click here to see answer by ewatrrr(24785) About Me 

Question 346953: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec how far away is the target?
Click here to see answer by haileytucki(390) About Me 
Question 346953: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec how far away is the target?
Click here to see answer by mananth(16946) About Me 

Question 346965: A salesperson purchased an automobile that was advertised as averaging 25 mi/gal in the city and 40 mi/gal on the highway. A recent sales trip that covered 1800 miles required 51 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Click here to see answer by haileytucki(390) About Me 

Question 346954: I am having trouble in answering all questions in my assignment.Please help me it is due tomorrow.We are noe in calculus.A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Question2
a. Find a fully simplified expression for v'(t)
b. Sketch a graph od v'(t) over the domain [0,10)
c. Explain what the derivative expression and sketch represents in terms of the braking situation?
d. Evaluate v'(0) and v'(2) explain the relevance of these values to the model.
Question 3
a. Find an expression for the distance traveled,s(t) after t seconds.
b. Sketch a grapgh of s(t) over the domain [0,10).
c. Discuss the limitation of this function as a model for the distance covered after braking.
d. Poor Blinky was 30m down the highway whe the brakes were applied. He was dazzled by the lights of the truck and froze to the spot.Show why our favorite koala was in a spot of bother.
e. How fast was the truck going when it struck Blinky?
f. What was the minimum distance Blinky could have been standing to avoid contact?

Click here to see answer by stanbon(75887) About Me 

Question 347002: if i drove 1 mile in 45seconds, what is the mph
Click here to see answer by ptaylor(2198) About Me 

Question 347047: Mike & Bill row their boat (constant speed) 55mi downstream for 2.5hrs, helped by the current. Rowing at the same rate, the trip back against the current takes 5.5hrs. Find the rate of the current.
Click here to see answer by ptaylor(2198) About Me 

Question 347088: Two bicycle riders start at the same point and travel in opposite directions. One travels 5 kilometers per hour faster than the other. In 3 hours they are 117 kilometers apart: How fast is each traveling? Thanks !!
Click here to see answer by stanbon(75887) About Me 

Question 347061: Please help me with my calculus question.It is due tomorrow.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
1.calculate how long it took the truck to come to a stop. Express your answer as both an exact value and accurate to 2 decimal places.
2. At what time after braking was the truck's velocity 15m/s.Express your answer as both an exact value and accurate to 2 decimal places.

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

Question 347037: Hi everyone.I really need your help answering all of these questions in my assignment.It is my only chance to pass my subject.
It is due tomorrow.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
1. calculate how long it took the truck to come to a stop. Express your answer as both an exact value and accurate to 2 decimal places.
2. At what time after braking was the truck's velocity 15m/s.Express your answer as both an exact value and accurate to 2 decimal places.

Click here to see answer by Fombitz(32388) About Me 

Question 347063: hello everyone.I need your help with my Calculus assignment. It is due tomorrow.Please help me.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Questions:
a. Find an expression for the distance traveled,s(t) after t seconds.
b. Sketch a grapgh of s(t) over the domain [0,10).
c. Discuss the limitation of this function as a model for the distance covered after braking.
d. Poor Blinky was 30m down the highway whe the brakes were applied. He was dazzled by the lights of the truck and froze to the spot.Show why our favorite koala was in a spot of bother.
e. How fast was the truck going when it struck Blinky?
f. What was the minimum distance Blinky could have been standing to avoid contact?

Click here to see answer by Fombitz(32388) About Me 

Question 347104: if a plane can travel 480mph with the wind and 380 against the wind, what is the plane's speed in still air?
Click here to see answer by Alan3354(69443) About Me 

Question 347169: Kaitlin runs miles in minutes. At the same rate, how many miles would she run in minutes?

Click here to see answer by stanbon(75887) About Me 

Question 347173: Ryan drove 936 miles in 13 hours.
At the same rate, how many miles would he drive in 8 hours?

Click here to see answer by ewatrrr(24785) About Me 

Question 347060: Please help me with my calculus question.It is due tomorrow.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Question:Modify the function for breaking velocity of the breaking truck, v=-5+30e^-t/2 to ensure the truck stops just short of blinky bill. Justify your answer.We want the truck to get as close as possible without touching poor blinky bill.

Click here to see answer by Fombitz(32388) About Me 

Question 347235: Two cars leave Denver at the same time traveling in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 miles apart in 5 hours. How fast is each car traveling?
Click here to see answer by solver91311(24713) About Me 
Question 347235: Two cars leave Denver at the same time traveling in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 miles apart in 5 hours. How fast is each car traveling?
Click here to see answer by brianna...P(1) About Me 

Question 347239: A car traveled 200 mi. on 12 1/2 gal. of gas. How many miles per gallon did it get? how do you figure these out that's all I want to know mainly.
Click here to see answer by stanbon(75887) About Me 

Question 347251: hello everyone.I need your help with my Calculus assignment. It is due today.Please help me.The right equation is,v=-5+30e^-t/2
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=-5+30e^-t/2
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Questions:
a. Find an expression for the distance traveled,s(t) after t seconds.
b. Sketch a grapgh of s(t) over the domain [0,10).
c. Discuss the limitation of this function as a model for the distance covered after braking.
d. Poor Blinky was 30m down the highway whe the brakes were applied. He was dazzled by the lights of the truck and froze to the spot.Show why our favorite koala was in a spot of bother.
e. How fast was the truck going when it struck Blinky?
f. What was the minimum distance Blinky could have been standing to avoid contact?

Click here to see answer by Fombitz(32388) About Me 

Question 347417: how far will you travel if you run for 10 minutes at 2meter/sec
Click here to see answer by fractalier(6550) About Me 

Question 347413: Two cyclists, 108 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?
Click here to see answer by mananth(16946) About Me 
Question 347413: Two cyclists, 108 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?
Click here to see answer by josmiceli(19441) About Me 

Question 347407: A boat travels 12 miles up the Mississippi River and 12 miles back down river in a total of eight hours. The rate of the boat in still water is four miles per hour. Find the speed of the current.
Click here to see answer by mananth(16946) About Me 
Question 347407: A boat travels 12 miles up the Mississippi River and 12 miles back down river in a total of eight hours. The rate of the boat in still water is four miles per hour. Find the speed of the current.
Click here to see answer by josmiceli(19441) About Me 

Question 347212: it takes a freight train 3 hours more to travel 200 miles than it takes an express train to travel 120 miles. the express train is 20 mph faster than the freight train. find the rate of both trains
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 347606: if you are traveling at 65 mph to a location that is 20 miles away, how long (round to the nearest minute) will it take to reach your destination, assuming you maintain a constant speed?
a. 30 minutes
b. 22 minutes
c. 18 minutes
d. 14 minutes
e 9 minutes

Click here to see answer by Fombitz(32388) About Me 
Question 347606: if you are traveling at 65 mph to a location that is 20 miles away, how long (round to the nearest minute) will it take to reach your destination, assuming you maintain a constant speed?
a. 30 minutes
b. 22 minutes
c. 18 minutes
d. 14 minutes
e 9 minutes

Click here to see answer by mananth(16946) About Me 

Question 347605: A rocket reaches apogee (highest point) and fall to earth. The time it took to fall was exactly 5 seconds. How high did the rocket go?
Click here to see answer by mananth(16946) About Me 

Question 347465: A man walks from one town to another in 5 hours. Had he walked of a kilometer faster, he would have reached his destination 36 minutes earlier. Find the distance between the two towns and the rate at which he walked.
Click here to see answer by nyc_function(2741) About Me 

Question 347630: Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 2 mi/hr and the other due west at 4 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.98 miles?
Round the answer to the nearest minute.

Click here to see answer by checkley77(12844) About Me 

Question 347693: Hillary is driving North on Route 15 with her cruise control set on 55 mph. Her car is 15 feet long. If it takes 0.2 seconds to pass the same type of car in the opposite direction, how fast is the other car traveling?
(r1+r2)t=d

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

Question 347744: Flying against the wind, an airplane travels 2960 km in 4 hours. Flying with the wind, the same plane travels 10,080 km in 9 hours. What is the rate of the plane in still air and what is the rate of the wind
Click here to see answer by Alan3354(69443) About Me 

Question 347743: Car 1 leaves Miami and travels at a speed of 47mph. Car 2 leaves 2 hours later and travels at 58mph. How long will it take for car 2 to catch up to car 1.
Click here to see answer by nerdybill(7384) About Me 

Question 347702: A tight end can run the 100 yard dash in 12 seconds. A defensive back can do it in 10 seconds. The tight end catches a pass at his own 20 yard line with the defensive back at the 15 yard line. If no players are nearby, at what yard line will the defensive back catch up to the tight end?
Click here to see answer by scott8148(6628) About Me 

Question 347739: In his motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing spot, a distance of 36 mi in 2 hours. Returning, he finds that the trip downstream, still at top speed, takes only 1.5 hours. Find the speed of Bill's boat and the speed of the current. Let x = the speed of the boat and y= the speed of the current.
Click here to see answer by scott8148(6628) About Me 

Question 347770: Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip, against the current, takes 4 hours. Find the average speed of the boat for the entire trip, and the speed of the current?
I got 14 mph for the speed of the boat and 2mph for the current, but the answer is 13 5/7 mph for the speed of the boat. This is what I got:
x-y*4= 48
x+y*3= 48 and then solved by elimination

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

Question 347767: An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Click here to see answer by mananth(16946) About Me 

Question 347782: An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Click here to see answer by mananth(16946) About Me 

Question 347975: a man is walking at an average speed of 4 miles per hour alongside a railroad track. a freight train, going in the same direction at an average speed of 30 miles per hour, requires 5 seconds to pass the man. how long is the freight train (in feet)?
Click here to see answer by Alan3354(69443) About Me 

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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17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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, 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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