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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 47811This question is from textbook 
: travelling at the full speed against the current of a river a motorboat moves at the rate of 12 kilometers per hour relative to the land.Travelling at a half speed with the current,it moves at 8 kilometers per hour. Find the maximum speed of the boat in still water. This question is from textbook
Click here to see answer by venugopalramana(3286)   |
Question 47900: Please help! I'm not sure how to set this problem up to solve.
Jeanie bicycles 33 km/h with no wind. Against the wind she bikes 75 km in the same time it takes to bike 123 km with the wind. What is the speed of the wind?
Thanks!
Click here to see answer by pizza(14)  |
Question 48238This question is from textbook College Algebra
: John and Mary leave their house at the same time and drive in opposite directions. John drives at 60 mph and travels 35 mi farther than Mary, who drives at 40 mph. Mary's trip takes 15 min longer than John's. For what length of time does each of them drive?
Thank so very very much again!This question is from textbook College Algebra
Click here to see answer by stanbon(26251) |
Question 48323: Travelling at full speed agaist the current of a river, a
motorboat moves at the rate of 12 kilometers per hour relative
to the land. Travelling at half speed with the current, it
moves 8 kilometers per hour. find the maximum speed of the boat
in still water.
Click here to see answer by AnlytcPhil(958) |
Question 48533: IT is approximately 480 miles from Los Angeles, California to San Francisco, Californis. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a)I need to write a linear function that expresses the distance traveled, d, as a function of time,t.
b) How far have you traveled in 4 hours?
c)Write a linear function that expresses the distance to be traveled to reach San Francisco , s ,as a function of time, t.
d) How far will I need to travel to reach San Francisco after I have traveled 3 hours?
Ive been out of school for 21 years and never had to take algenbra and this is very hard for me to understand this question so I can help my daughter in her Algebra class. Please Help!!!!!!!!!
Click here to see answer by cowess(34) |
Question 48575: dear sir, iam having difficulty in answering math assignments.Please help me. I would be very thankful if you can send me the answer including the solution of it so i will be able to understand how you were you able to arrive at the answer.My assignment is stated this way............
A train leaves station x and travels east at 30 km/hour. Two hours later, another train leaves the same station and travels in the same direction on a parallel track at 45km/hour. At what point will the faster train overtakes the slower train?
Click here to see answer by longjonsilver(2297)  |
Question 48475: During rush hour, Adriana can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Adriana's rate on the side roads is 10 mi/h faster than her rate on the freeway, find her rate on the side roads.
Thank You
Click here to see answer by stanbon(26251) |
Question 48790: 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?
Click here to see answer by Paul(988) |
Question 48835: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4 mile per hour current, it took her 40 minutes longer to get there than to return. How fast will her boat go in still water? (Please round answer to one decimal place.)
Click here to see answer by Paul(988) |
Question 48859: Good evening. i would like to ask you to help me with this problem
i cannot work out, please would you help me?
(1) John makes business trip from his house to Portland in 2 hours. Three hours later, he returns home in traffic at 20mph less than his speed going. If John is gone a total of 8 hours, how fast did he travel to Portland.
Click here to see answer by checkley71(8405) |
Question 48963: Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?
Click here to see answer by cowess(34) |
Question 49036: Hello good evening will you please help me with this problem thank you so much
Question# 1. A fire truck traveling at fifty miles an hour takes 5 minutes to reach the emergency scene. How many miles is the fire station from this incident
Thank you I really appreciate the help
Click here to see answer by Nate(3495) |
Question 49167: Hello Good Evening I would like some help on a word problem need to figure out the formula to be used
Question# 1. A Pumper takes nine minutes to reach the scene of a fire located eighteen city blocks away. If one mile equals three city blocks, how fast is the truck traveling.
I really appreciate the help thank you so much
Click here to see answer by josmiceli(3003) |
Question 49167: Hello Good Evening I would like some help on a word problem need to figure out the formula to be used
Question# 1. A Pumper takes nine minutes to reach the scene of a fire located eighteen city blocks away. If one mile equals three city blocks, how fast is the truck traveling.
I really appreciate the help thank you so much
Click here to see answer by hulamc723(15) |
Question 49196: Hello, I am in the processing of helping my son with his homework and we're bo th stuck. Please Help! With this word problem we need to define a variable, write an equation or inequality, and solve the problem.
Problem: Mrs. Denney is renting a car that gets 35 miles per gallon. The rental charge is $19.50 a day plus .18 cents per mile. Her company will reimburse her for $33 of this portion of her travel expenses. If Mrs. Denney rents the car for 1 day, find the maximum number of miles that will be paid for by her company.
Click here to see answer by Earlsdon(4898) |
Question 49216: Hello there: It has been a while since I touched word problems and I am attempting to assist my son. Would appreciate your help. Thanks in advance.
Problem: Jessica and Vickie went to walk their dogs. They parted from the same place and walked the same distance. Jessica made it in 4 minutes. Vickie made it in 6 minutes. How long before they meet at the starting point?
Click here to see answer by AnlytcPhil(958) |
Question 49919: If Alexandra increases her usual driving speed by 15km/hr, it will take her 2 hours less than her normal time to make a trip to her grandparents' house. If she decreases fer usual speed by 15km/hr, it will take her 3 hours more than her normal time to maked the trip. Can you determine how far she lives form her grandparents? Find a possible answer by counstructing a set of consistent values for time, distance and rate to solve.
Click here to see answer by Paul(988) |
Question 50067: The problem is: Michael drove to a friend's house at a rate of 40mi/h. He returned by the same route at a rate of 45mi/h. the driving time for the round trip was 4 h. What was the distance Michael traveled?
I know the answer is about 170 miles because (45+40)/2 is 42.5 times 4 is 170. But how do you set up an algebraic equation to solve?
Click here to see answer by Paul(988) |
Question 50492This question is from textbook
: At first an athlete jogs at 6 miles per hour and the jogs at 5 miles per hour, traveling 7 miles in 1.3 hours. How long did the athlete jog at each speed? Show your work!This question is from textbook
Click here to see answer by Nate(3495) |
Question 50640This question is from textbook College Algebra
: Bobby and Rick are in a 10 lap race on a one-mile track oval track. Bobby, averaging 90 mph, has completed two laps just as Rick is getting his car onto the track. What speed does Rick have to average to be even with Bobby at the end of the tenth lap?
Book Hint: Bobby does 8 miles in the same time as Rick does 20 miles.
Book Answer: 112.5 mphThis question is from textbook College Algebra
Click here to see answer by stanbon(26251) |
Question 50777: A motorist drove 150 miles on country roads before driving on mountain roads. The rate of speed on the country roads was three times the rate on the mountain roads. The total time spent traveling the 200 miles was five hours. Find the rate of the motorist on the country roads.
Click here to see answer by Paul(988) |
Question 50827: The equation h=-16t^2+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180ft.
Click here to see answer by stanbon(26251) |
Question 50898: The distance from New York to Boston is 220 miles. Suppose a train leaves Boston for New York and travels at 65mph. One hour later, a train leaves New York for Boston and travels at 55mph. If we assume the tracks are the same and the trains maintain a constant speed, how far apart are the trains 1 hour before they meet.
Click here to see answer by stanbon(26251) |
Question 51646: you and your friend live 12 miles apart. You leave home at the same time and travel toward each other. You walk at a rate of 4 miles per hour and your friend bicycles at a rage of 11 mph. How long arter you leave home will you meet? How far from home will each of you be? i keep trying this problem and cannot come up with any answer - can you please help me? thank you leah
Click here to see answer by checkley71(8405) |
Question 52114: When Sheila asked Margie to deliver camp supplies across the lake, they agreed to meet on the water. Sheila's boat can travel at 10km/h, while Margies boat can do 12km/h. If the lake is 6.6 km wide and Sheila and Margie leave at the same time, how much time will it be before they meet?
Click here to see answer by Paul(988) |
Question 52207This question is from textbook
: a quake sends out two waves at 8.9km/s and 5.1km/s. a siesmograph records the arrival of the 8.9km/s wave 73 seconds before the 5.1km/s wave. what is the distance from the siesmograph to the center of the quake?This question is from textbook
Click here to see answer by Earlsdon(4898) |
Question 52337: Hi There! I am studying rate questions for the GMAT, and feel pretty comfortable on the basic forms such questions can take. I am completely stuck, however, on rate questions that pose hypothetical questions, like "If the train went 4 mph faster, it would have arrived in 1/2 the time." The question below is taken from an online course, and the answer is also provided. I just don't see how they figured it out.
The Question:
A train traveled 960 miles from Town A to Town B. If the train had traveled from Town A to Town B at an average speed of 12 miles per hour less, it would have taken 4 more hours.
What was the train's average speed during that journey?
The Author's Answer:
We need an average speed to have sufficiency. Let's call the train's average speed s miles per hour and let's call the time that it took the train to travel the 960 miles t hours. The distance formula says that Distance = Rate * Time. So here, st = 960.
We learn that (s – 12)(t + 4) = 960. Including the equation st = 960 from the question, we now have two equations for two variables, and we could solve. In the solution, we can substitute (960/s) for t in the equation (s – 12)(t + 4) = 960. Then (s – 12)((960/s) + 4) = 960. When this equation is solved for s, there will be two solutions, one positive and one negative. (The solution s = 60 corresponds to t = 16; the other case s = 48 which would correspond to t = 20 but would be discarded because its negative.) So there is just one answer to the question, which is that the average speed was 60 miles per hour.
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Whoa! "When this equation is solved for s..?" How about showing how to solve for it? I follow everything up until this point. After that, I'm lost. Two different solutions? What, is this a quadratic equation? Help!
Thank you so much for your help!
Click here to see answer by AnlytcPhil(958) |
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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
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