Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 401206: A dog was walking along a train track one day, and traveled along that track onto a train bridge. when the dog was 1/4 of the way across the bridge, he heard a train whistle from an oncoming train that was coming in the same direction the dog has already come. the dog bounded away from the train and made it to the end of the bridge at exactly the same time as the train. what the dog didnt know, but what was also true, was that the dog could have bounded toward the train and made it to the "start" of the bridge at exactly the same time as the train. the train was traveling at a speed of 30 miles/hour. how fast was the dog traveling
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 401310: Im having trouble with some word problems i have many for my homework i understand the easy work ones but i thought i put 3 differnt kinds up so that i can finish the rest of my homework by examples of these ones.Can you please help me?
1)A jogger ran 8 miles and then walked 6miles. The jogger's running speed was 5 miles per hour faster then her walking speed. Th total time for jogging and walking was 2 hrs find the joggers walking speed and jogging speed.
i made a table
D R T
run 8mi x+5
walk 6mi x
total 2hrs
i came up the equation 8 6
___ + ____ =2
x+5 x
2)Another one i cant figure out is A car travels for 100miles at a uniform speed. If the speed is increased by 5 miles per hour, the trip would take one hour less time. What is the car's original speed?
Im not sure how to get this one except i know to divide distance by time and the distance is 100 and the time is x-1 and the rate is x+5 i think i dont know how to set this up.
3) Working together amy and bob can complete a job in 12 hours. Working alone it takes amy 4/3 as much time as bob to do the job how long will it take each to do the job working alone?
For this i have a table and some work done but i think its the 4/3 is throwing me off
time hrs job
amy 4/3x 1 divided by 4/3x
bob x i divided by x
total 1 divided by 12
i divided both sides by 12x(4/3x)
and got 12x+12(4/3x) = x(4/3x)
12x+16x=4/3x^2
28x=4/3x^2
4/3x^2-28x=0
now im stuck
IF someone could please help me that would be wonderfull and i thank you soo much
Click here to see answer by stanbon(57222) |
Question 401310: Im having trouble with some word problems i have many for my homework i understand the easy work ones but i thought i put 3 differnt kinds up so that i can finish the rest of my homework by examples of these ones.Can you please help me?
1)A jogger ran 8 miles and then walked 6miles. The jogger's running speed was 5 miles per hour faster then her walking speed. Th total time for jogging and walking was 2 hrs find the joggers walking speed and jogging speed.
i made a table
D R T
run 8mi x+5
walk 6mi x
total 2hrs
i came up the equation 8 6
___ + ____ =2
x+5 x
2)Another one i cant figure out is A car travels for 100miles at a uniform speed. If the speed is increased by 5 miles per hour, the trip would take one hour less time. What is the car's original speed?
Im not sure how to get this one except i know to divide distance by time and the distance is 100 and the time is x-1 and the rate is x+5 i think i dont know how to set this up.
3) Working together amy and bob can complete a job in 12 hours. Working alone it takes amy 4/3 as much time as bob to do the job how long will it take each to do the job working alone?
For this i have a table and some work done but i think its the 4/3 is throwing me off
time hrs job
amy 4/3x 1 divided by 4/3x
bob x i divided by x
total 1 divided by 12
i divided both sides by 12x(4/3x)
and got 12x+12(4/3x) = x(4/3x)
12x+16x=4/3x^2
28x=4/3x^2
4/3x^2-28x=0
now im stuck
IF someone could please help me that would be wonderfull and i thank you soo much
Click here to see answer by lwsshak3(6463) |
Question 401317: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 20 miles per hour slower than the eastbound train. If the two trains are 340 miles apart after 2 hours, what is the rate of the westbound train?
Click here to see answer by lwsshak3(6463) |
Question 401626: a truck enters a hightway driving 60 mph. a car enters at the same place 10 min later and drives in the same direction going 72 mph. from the time the car enters the highway, how long iwll it take the car to pas the truck?
Click here to see answer by rfer(12644) |
Question 401805: A Cessna 175 can average 130 mph. If a trip takes 2 hours one way and the return takes 1 hour and 15 minutes, find the wind speed, assuming it is constant.
This is an algebra equation. I don't even know where to begin. But I know that the wind speed would be x. I'm not quite sure if I need to add or subtract the two time differences. Thank you so much for helping me.
Melissa
Click here to see answer by rfer(12644) |
Question 402028: One runner passes another runner traveling in the same direction on a hiking trail. The faster runner is jogging 2 miles per hour faster than the lower runner.Determine how long it will be before the faster runner is 3/4 mile ahead of the slower runner.
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 402040: Investors sometimes use the rule of 72 to determine the time required to double an investment. If 72 is divided by the annual earned on an investment, the result approximates the number of years needed to double the investment. For example, an investment earning 6% annual interest will double in value approximately every 72/6 = 12 years.
(a) Approximate the number of years required to double an investment earning 9% annual interest.
(b) If an investment of $10,000 earns 12% annual interest, approximate the value of the investment after 18 years.
Click here to see answer by rfer(12644) |
Question 402085: train a and train b are traveling in the same direction on parallel tracks. train a is traveling at 60 miles per hour and train b is traveling at 70 miles per hour. train a passes a station at 6:15 a.m. if train b passes the same station at 6:45 a.m, at what time will train b catch up to train a
Click here to see answer by mananth(12270)  |
Question 402091: Suppose a cannon is placed at the origin and elevated at an angle of 45 degrees. If the cannonball is fired with a muzzle velocity of 0.17 miles per second, it will follow the graph of the following function, where distances are measured in miles.
y=x-2000x^2/9537
What should I put in y1 on my calculator to graph this?
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 402415: A car started out from Memphis toward Little Rock at the rate of 60km/h. A second car left from the same point 2 hours later and drove along the same route at 75km/h. How long did it take the second car to catch the first car. Use the formula d= RxT, and also make a chart.
Click here to see answer by checkley79(3039) |
Question 402443: A golf ball is launched upward with an initial speed of 30 m/sec by a golfer atop the Washington Monument, which is 160 m above the ground. How high above the ground will the ball be after 3 sec?
I'm not sure how to set this up. Should I use: distance = rate × time?
Click here to see answer by richard1234(5390)  |
Question 402938: I have a word problem that says one person leaves at 2pm and is traveling 45 mph from point a to point b and the other person leaves at 2:15pm and is traveling 40 mph from point b to point a. The distance is 160 miles. The question is At what time do they pass each other on the road? I need help setting up a formula for this. I thought it might be 160=45x+40x but the answer to that didn't seem right. I know the formula d=rt, but I don't know exactly how to apply that to this problem.
Click here to see answer by scott8148(6628)  |
|
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, 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, 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, 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, 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
|