Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 108154: the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 108213: ron and doug leave the same point at the same time traveling in cars going in oppisite directions. ron travels at 40 miles per hour and doug travels at 60 miles per hour. in how many hours will the be 450 miles apart?
Click here to see answer by checkley71(8403) |
Question 108549: Check you please check my answer.
5)Suppose that the function P=13+45lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.
a)Use this model to approximate the percentage of spam in the year 2003.
P=13+ln((2003) ), P=13+in(3.76394022+148), P=13(342.11), P=447.43
Thank You
Click here to see answer by stanbon(75887) |
Question 108584: Suppose that the function P=13+45x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change.
I have tried this 2000(.95)=13+45ln(2000) This did not work out
Then I tried 2000(.95)=1345ln(2000)(.95)This did not work either.
Thank you
Click here to see answer by ankor@dixie-net.com(22740) |
Question 108716: This equation has 2 parts to it.
Two friends are 60 miles apart. They ride their bicycles to meet each other. Sally starts from the college and heads east riding at a rate of 21 miles per hour. At the same time, Teresa starts from the river and heads west, riding at a rate of 15 miles per hour.
a: How far does each cyclist ride in t hours?
b: When the two cyclists meet, what must be true about the distances they have ridden? Write and solve an equation to find when they meet
Click here to see answer by stanbon(75887) |
Question 108719: A rabbit is 30 feet from its burrow. It can run 25 feet per second. A coyote that can run 50 feet per second spots the rabbit and starts running towards it. How can i write an expression and an equation to solve for the time it will take the rabbit to reach its burrow and the time for the coyote to get to the burrow?
Click here to see answer by stanbon(75887) |
Question 108830: A passenger train can travel 325 mi in the same time a freight train can take to travel 200 miles. If the speed of the passenger train is 25 mi/h faster then the speed of the freight train, find the speed of each.
Click here to see answer by stanbon(75887) |
Question 108864: AT 9:00 A.M. A TRUCK LEAVES THE TRUCK YARD AND
TRAVELS WEST AT A RATE OF 35 MI/HR.
TWO HOURS LATER, A SECOND TRUCK LEAVES ALONG THE SAME ROUTE
TRAVELING AT 70 MI/HR.
WHEN WILL THE SECOND TRUCK CATCH UP TO THE FIRST TRUCK?
THANKS
JMS
Click here to see answer by checkley71(8403) |
Question 108888: Ariana took 2 hour longer to drive 360 miles on the first day of her trip then she took to drive 250 miles on the second day. If her speed was the same on both days, what was the driving time each day?
360-250/2=110/2=55
is that right?
Click here to see answer by edjones(8007)  |
Question 108854: Ariana took 2 hour longer to drive 360 miles on the first day of her trip then she took to drive 250 miles on the second day. If her speed was the same on both days, what was the driving time each day?
Click here to see answer by Crashy(2) |
Question 109031: In 1990 the percentage of children living with two parents was 72.5 and in 2002 it was 68.7
(a.) Assuming that the decrease was linear, write and equation relating the percentage y and the year x, with 1980 corresponding to x=0.
(b.) Graph the equation for the years 1990-2010.
(c.) Estimate the precentage of children living in two parent families in 2010.
****My delima, I cannot figure out how to write an equation (letter a) for this problem. My next question is to solve letter b and graph the equation for the other the years will I have to create a different equation for each given year?
THanks so much for all you guys do your help is wonderful and greatly appreciated!!!!
Click here to see answer by stanbon(75887) |
Question 109097: A pair of skydivers jump out of an airplane 5.5 km above the ground. The equation H= 5500-5t2 is an approximate model for the diver's altitude in metres at t seconds after jumping out of a plane.
a.) After 10 seconds, how far have the divers fallen?
b.) They open their chutes at an altitude of 1000 metres. How long did they free-fall?
c.) If a parachute does not open at 1000 metres, how much time is left to use the emergency chute?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 109347: I just need to make sure this one is right...Here is the question:
In Detroit, the temperature in 69 F and is rising at a rate of 2 degrees F. In Atlanta, the temperature is 85 F and is falling at a rate of 3 degree F per hour. If the temperatures continue to change at the same reates, how long will it be before the temperatures are the same.
Write an equeaion---69+2(h) = 84 -3(h)
solve the equation...69+2h=84-3h
69+5h=84
5h=15
h=3
it would take 3 hours before the temperatures are the same
can you please just let me know if this is correct..thanks a bunch!!!!!!!!!
Carly
Click here to see answer by checkley71(8403) |
Question 109350: ok...A page of a school yearbook is 8 1/2 inches by 11 inches. The left and right margins are 1 inch and 2 1/2 inches, respectively.. The space between pictures is 1/4 inch.. How wide can each picture be to fit 3 across the width of the page.
a. Write verbal model for this problem
LM + RM + 2(space b/w pics)+ 3(width of pics) = page width
I must be doing something really stupid, because I can't come up with the correct answer...
1+2 1/2+2(1/4) +3(w)=8 1/2
1+5/2 +2/4...
4/4+10/4+2/4...
16/4+3w=17/2
4+3w=17/2
3w=17/2-4
3w=34/4-4/4
3w=30/4
30/4 *1/3
30/12
This is not the right answer.....help!!!!!!!!!!!!!!!!!!!
what am i doing wrong here??
Click here to see answer by stanbon(75887) |
Question 109350: ok...A page of a school yearbook is 8 1/2 inches by 11 inches. The left and right margins are 1 inch and 2 1/2 inches, respectively.. The space between pictures is 1/4 inch.. How wide can each picture be to fit 3 across the width of the page.
a. Write verbal model for this problem
LM + RM + 2(space b/w pics)+ 3(width of pics) = page width
I must be doing something really stupid, because I can't come up with the correct answer...
1+2 1/2+2(1/4) +3(w)=8 1/2
1+5/2 +2/4...
4/4+10/4+2/4...
16/4+3w=17/2
4+3w=17/2
3w=17/2-4
3w=34/4-4/4
3w=30/4
30/4 *1/3
30/12
This is not the right answer.....help!!!!!!!!!!!!!!!!!!!
what am i doing wrong here??
Click here to see answer by checkley71(8403) |
Question 109324: Two friends are 60 miles apart. They decide to ride their bikes to meet each other. Sally starts from the college and heads east, riding at a rate of 21 mph. At the same time, Teresa starts from the river and heads west, riding at a rate of 15 mph.
a. draw a diagram showing the college and the river 60 miles apart and the two cyclists riding toward each other (I can do that)!
b. How far does each cyclist ride in t hours? (i need help with this one)!
c. When the two cyclists meet, what must be true about the distances they have ridden? Write and solve an equation to find when they meet.(oh boy--i need help here too)!!!
I just am not sure what to do here..I am thinking d=r.t
rate distance time
sally 21 mph 60 miles t
teresa 15mps 60 miles t
60=21t for sally
60=15t for teresa
I am lost now.....I just don't know what to do, even if I was correct so far....
Click here to see answer by stanbon(75887) |
Question 109391: This is not in a textbook it's in a Math Student workbook made up by my university.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Jennie drives to her son's house in 5 hours when there is heavy traffic. When there is no traffic, the same trip takes 4 hours. She can drive an average of 12 m.p.h. faster when there is no traffic than when thereis heavy traffic.
What is her average speed when there is no traffic?
What is the distance from her house to her son's house?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 109406: You and your friend are each driving 379 miles from LA to San Fran. Your friend leaves first, driving 52 mph. She is 32 miles from LA when you leave, driving 60 mph. How far do each of you drive before you are side by side?
Click here to see answer by stanbon(75887) |
Question 109424: . Sheryl left by plane to visit her mother in Hartford, 42 km away. Fifteen minutes later, her mother left to meet her at the airport. She drove the 20 km to the airport at 40 km per hr, arriving just as the plane taxied in. What was the speed of the plane?
Click here to see answer by stanbon(75887) |
Question 110045: A Sailer on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate waws 10 miles per hour less, and the trip took 1 hour longer. How far is his home from the park?
I dont know how to set it up or when you know you got your final answer. The book used a chart, but how do you know where to put the info
Click here to see answer by edjones(8007) |
Question 110045: A Sailer on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate waws 10 miles per hour less, and the trip took 1 hour longer. How far is his home from the park?
I dont know how to set it up or when you know you got your final answer. The book used a chart, but how do you know where to put the info
Click here to see answer by josmiceli(19441)  |
Question 110056: Hi please help me im clueless .... thank you soo muchh
First is this you have to do it with a chart
inside wil say ratextime=distance and the equation inside with the variables.
ok here is the problem
It takes plane 40min longer to fly from Boston to Los Angeles at 52 mi/h than it does to return at 600mi/h. how far apart are the cities.?
THE SECOND IS THIS
It took Cindy 2h to bike from Abbott to Benson at a constant speed. The return trip took only 1.5h because she increased her speed by 6km/h. How far apart are Abbott and Benson?
thank you sooo muchh
i appreciate it i have a test on this tomorrow
Click here to see answer by stanbon(75887) |
Question 110022: Flying to Maui with a tailwind a plane averaged 158km/h. On the return trip the plane only averaged 112km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
I don't feel they have given me enough information to solve this problem or am I missing something?
Click here to see answer by ptaylor(2198)  |
Question 110229: A day on Jupiter is much shorter than a day on Earth because Jupiter rotates on its axis about 2 2/5 times as fast as Earth rotates on its axis. During our month of June, how many days will Jupiter have?
Click here to see answer by edjones(8007) |
Question 110216: Word problems are so confusing....please help.
During rush hour, bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bill's rate on the side roads is 8 mi/h faster that his rate on the freeway, find his rate on the side roads.
Thank you.
Click here to see answer by josmiceli(19441) |
Question 110216: Word problems are so confusing....please help.
During rush hour, bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bill's rate on the side roads is 8 mi/h faster that his rate on the freeway, find his rate on the side roads.
Thank you.
Click here to see answer by scott8148(6628)  |
Question 110215: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip.
I'm confused>>>>>
Please help me.
Click here to see answer by josmiceli(19441) |
Question 110248: Marie rode her bicycle from her home to the bicycle shop 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 bicylce shop if her total travel was 1 hour?
Click here to see answer by solver91311(24713)  |
Question 110307: Susie left her home at 11 am traveling along Route 1 at 30 miles per hour. At I pm, her brother Richard left home and started after her on the same road at 45 miles per hour. At what time did Richard catch up to Susie. I know the formula t=d/r but how do you plug in everything since there are more steps. Thank You!
Click here to see answer by solver91311(24713) |
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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
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