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

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Question 251369: two friends live 525 miles apart. They start driving toward each other at the same time. Jan drives at a speed of 45 mph and Gerry drives at a speed of 60mph. How many hours did it take to meet?
Click here to see answer by solver91311(24713) About Me 

Question 251389: Kwan hiked up a hillat 4km/hr and backat 6km/hr. his total hiking time was 3hours. how long did the trip up the hill take him?
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Question 251375: A car leaves at 10:00 going 60 miles per hour another car at 12:00 going 75 Miles Per Hour. When will they meet
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Question 251365: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 44 mph. Train A passes a station at 4:15PM. If train B passes the same station at 4:45PM, at what time will train B catch up to train A?
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Question 251279: Jill is 22.5 kilometers away from Joey. Both begin to walk towards each other at the same time. Jill walks at 1.5 km/hr. They meet in five hours. How fast is Joey walking?
a) 1.5 k/hr b) 2.25 km/hr c) 3 km/hr d) 6 km/hr e) 15 km/hr

Click here to see answer by richwmiller(17219) About Me 

Question 251291: Substitute to find a value of the expression
The area of a triangle with base b and height h is given by A=1/2bh. Find the area when b=18m and h= 26m (m=meter)

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Question 251256: A boat usually goes 20 miles per hour, but now there is a wind of five miles per hour working against it. How long will it take this boat to travel 30 miles?

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

Question 251472: If you walk for 45 minutes at a rate of 4 mph and then run for 30 minutes at
a rate of 10 mph, how many miles have gone at the end of one hour and 15
minutes ?
(A) 3.5 miles (B) 8 miles (C) 9 miles (D) 25 1/3 miles

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

Question 251488: mr.may traveled from home to New York by a car with 15 mph speed. While he was driving, his girlfriend called him to go back home. He suddenly drove back home with 25 mph speed. If this round-trip took 32 minutes. What is the average speed he drove for the round-trip?
Click here to see answer by stanbon(75887) About Me 

Question 251508: two friends live 525 miles apart. They start driving toward each other at the same time. Jan drives at a speed of 45 mph and Gerry drives at a speed of 60mph. How many hours did it take to meet?
Click here to see answer by checkley77(12844) About Me 

Question 251535: There were 429 people at a play. Admission was $8 dollars each for adults and $4.50 each for children. The total receipts were $2641. How man adults and how many children attended?
Where did I go wrong ???
Adult tickets: x
Adult cost per ticket: 8.00
total: 8.00x
childrens tickets: (429-x)
childs cost per ticket: 4.50
total: 4.50(429-x)
8.00x+4.50(429-x)=2641
8.00x+1930.5-4.50x=2641
3.50x+1930.5=2641
3.50x=710.50
x=203
adult tickets: 203
child's tickets: 4.50(428-203)= 1017
total=203+1017=1220
This answer does not appear to total up...can some one tell me where i went wrong please :) thanks!!

Click here to see answer by richwmiller(17219) About Me 

Question 251528: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
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Question 251611: On a farm there are horses and chickens. There are total of 40 heads and 146 legs. How many horses are on the farm?" the horses have 3 legs that is all I got I cant help my kid he has this on a test I need to be able to show him how to solve it the numbes can change but they always have 3 legs
Click here to see answer by stanbon(75887) About Me 

Question 251619: If you travel 562 miles in a 9 hour period, what is your average speed?
This is driving in a semi truck and that is the question it doesn't say anything about being loaded or unloaded it just ask me to figure the speed for the distance and time traveled.

Click here to see answer by richwmiller(17219) About Me 

Question 251687: suppose it takes no more than 25 min for you to get to school. If You have traveled for 13.5 min already, how much longer, at most , might you take to get to school
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Question 251676: Two freight trains, 120 miles apart, start toward each other. Each train is traveling at a rate of 40 miles per hour. A carrier pigeon on the first train flies to the second train, then flies back to the first train, and continues to fly back and forth in this way from one train to the other at a constant rate of
60 mph until the trains meet. How many miles does the pigeon fly?
a) 120 b) 110 c) 100 d) 90 e) none of these

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

Question 251666: Angela jogged at 6 miles/hour for one third of the distance of her morning jog and at 8 miles/hour for two thirds of the distance. What was her average speed for the whole trip?
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Question 251691: A ship leaves a harbor sailing at 28 mph. A plane leaves 6-1/4 hours later. At what rate must it fly to overtake the ship in an hour and 15 minutes?
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Question 251701: i am a ski racer and i found out that im going 9 ft per second how many mph would that be?
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Question 251775: When Elvis swims with the current, he swims 18km in 2 hours. Against the current, he can swim only 14km in the same time. How fast can Elvis swim in still water and what is the rate of the current?
Click here to see answer by checkley77(12844) About Me 
Question 251775: When Elvis swims with the current, he swims 18km in 2 hours. Against the current, he can swim only 14km in the same time. How fast can Elvis swim in still water and what is the rate of the current?
Click here to see answer by richwmiller(17219) About Me 

Question 251741: Jack Bauer was called to CTU for a new mission. He jumped in his car and began traveling at 50 mph on the highway. If jack lives 15 miles from CTU headquarters, how long will it take him to get there?
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Question 251782: Two trucks leave Chicago traveling in opposite directions. One truck traveled at a rate of 70km/hr, the other at 80km/hr. After how many hours were the trucks 900 km apart?
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Question 251783: Two jets are traveling toward each other and are 4000km apart. The rate of one jet is 100km/hr faster than the rate of the other. If the jets pass each other after 2.5 hours, what is the rate of each jet?
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Question 251784: A train left the North Pole and traveled west at 70km/hr. Two hours later, another train left the North Pole and traveled east at 90km/hr. How many hours had the first train traveled when the were 1420 km apart?
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Question 251784: A train left the North Pole and traveled west at 70km/hr. Two hours later, another train left the North Pole and traveled east at 90km/hr. How many hours had the first train traveled when the were 1420 km apart?
Click here to see answer by richwmiller(17219) About Me 

Question 251749: May rides her bike the same distance that Leah walks. May rides here bike 10km/h faster than Leah walks. If it takes May 1 h and Leah 3 hrs how fast does each travel
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Question 251802: Ben paddles his kayak along a course on a different river. Going upstream , it takes him 6 hours to complete the course. Going down stream it takes him 2 hours to complete the same course. What is the rate of the current and how long is the course?
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Question 251847: A car travels at 1/2 miles per hour for 8 minutes, then 1 mph for 4 minutes, then 2 mph for 2 minutes, then 4 miles per hour for 1 minute, and so forth: stopping after traveling 128 miles per hour for 1/32 minutes.How many miles does the car travel?
a) .56 b) .58 c) .6 d) .62 e) none of these

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Question 251841: A and B, traveling at respective rates of a and b kilometers per hour, head directly towards each other across a distance of 120 kilometers. If both start at 10:30 a.m., they will meet at noon. If A starts at 10:00 a.m. and B starts at 11:00 a.m., they will also meet at noon. Find the ordered pair (a,b).
a) (30,30) b) (30,40) c) (40,40) d) (40,30) e) none of these

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Question 251883: The thrust SSC is the worlds fastest land vehicle. Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC. The car gets a head start of one-half hour. If there is unlimited spaces to race, at what distance will the SSC pass the car
Click here to see answer by solver91311(24713) About Me 
Question 251883: The thrust SSC is the worlds fastest land vehicle. Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC. The car gets a head start of one-half hour. If there is unlimited spaces to race, at what distance will the SSC pass the car
Click here to see answer by richwmiller(17219) About Me 

Question 251893: 1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
A. ZY - V
B. Z/V - 3 - Y
C. Z/3 - V - Y
D. 3V- Z - Y
E. V- Z - Y
2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
A. 2 hours
B. 4 ½ hours
C. 5 ¾ hours
D. 6 hours
E. 7 ½ hours
3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes
4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
A. 2x + 5 (x-1) = 9, x = 2
B. p - 3(p-5) = 10, p = 2.5
C. 4 y + 3 y = 28, y = 4
D. 5 w + 6 w - 3w = 64, w = 8
E. t - 2t - 3t = 32, t = 8
5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
A. 4%
B. 5%
C. 6%
D. 7%
E. 8%
6. Which of the following is not a rational number?
A. -4
B. 1/5
C. 0.8333333...
D. 0.45
E.
7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?
A. 55
B. 150
C. 200
D. 400
E. 600
8. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
A. 25 mph
B. 37 mph
C. 41 mph
D. 49 mph
E. 56 mph
9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
A. 2 minutes and 44 seconds
B. 2 minutes and 58 seconds
C. 3 minutes and 10 seconds
D. 3 minutes and 26 seconds
E. 4 minutes and 15 seconds
10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
E. 1.97 days
11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
A. 3 feet
B. 3 ¾ feet
C. 3 ½ feet
D. 3 ¼ feet
E. 2 ½ feet
12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
A. 58%
B. 119%
C. 158%
D. 175%
E. 200%
13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
A. 345
B. 1,035
C. 1,725
D. 3,105
E. 9,315

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Question 251914: In the equation D = r * t, to solve for "r" what should I do.
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Question 251944: Red goes 50 mph, must go 40 miles and starts right away. Yellow goes 40 mph, must go 30 miles and starts right away. Blue goes 75 mph, must go 50 miles, and starts 15 minutes late. Green goes 60 mph, must go 25 miles, and starts 15 minutes late. White goes 30 mph, must go 10 miles, and starts 30 minutes late. What is the order each color gets to the town?
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Question 251944: Red goes 50 mph, must go 40 miles and starts right away. Yellow goes 40 mph, must go 30 miles and starts right away. Blue goes 75 mph, must go 50 miles, and starts 15 minutes late. Green goes 60 mph, must go 25 miles, and starts 15 minutes late. White goes 30 mph, must go 10 miles, and starts 30 minutes late. What is the order each color gets to the town?
Click here to see answer by stanbon(75887) About Me 

Question 250062: At 9:00 A.M., your friends begin hiking at 2 mi/h. You begin from the same place at 9:25 A.M. You hike at 3 mi/h.
a. How long will you hsve hiked when you catch up with your friends?
b. At what time will you catch up with your friends?

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Question 251967: A pilot wants to fly due north a distance of 125 km. The wind is blowing out of the west at a constant 35 km/h. If the plane can travel at 175 km/h, how long will the trip take?
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Question 251971: A car travels 60 miles in the same time that a car traveling 10 miles per hour faster travels 90 miles. What is the rate of each car?
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Question 252074: two airplanes start out 10,000 miles apart. one plane heads east and the other heads west traveling at a rate 100 mph faster than the other plane. after how many hours will they pass each other?
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Question 252099: Thank you tutors for being here to assist those of us who struggle from time to time in our quest to learn this language of mathmatics... God Bless all of your combined efforts!!
I have the answer to this question but I need to see it expressed in algebraic form. Please show the steps necessary in solving the following question...
"If I purchase an item that has been discounted 20% and the discount saves me 45 dollars, how much did I pay for the item?" Thanks, Hank

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Question 252099: Thank you tutors for being here to assist those of us who struggle from time to time in our quest to learn this language of mathmatics... God Bless all of your combined efforts!!
I have the answer to this question but I need to see it expressed in algebraic form. Please show the steps necessary in solving the following question...
"If I purchase an item that has been discounted 20% and the discount saves me 45 dollars, how much did I pay for the item?" Thanks, Hank

Click here to see answer by palanisamy(496) About Me 

Question 252103: Jane took 15 min to drive her boat upstream to water ski. Coming back later, at the same boat speed, took her 5 min. If the current in that part of the river is 10km/hr, what is her boat speed in still water?
Click here to see answer by vksarvepalli(154) About Me 

Question 252110: When Elizabeth visits her friend Andrew, she must first walk uphill, then walk on level ground, then finally walk downhill. She walks home by the same route. She always walks 2km/h when going uphill, 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours, what is the roundtrip distance she walks?
A 3 2/3 B. 4 km C. 9 km D. 18 km E. 22 km

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Question 252121: A bus trip takes 1 1/2 hours. By plane, the same trip is 30 minutes. How many times faster is it to go by plane?
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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, 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, 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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, 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