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

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Question 173372: on a friday night your limo travels for two hours int the carpool lane at 8kph, faster than the traffic to go to prom.the returning trip takes 3 hours on the same route going 3kph slower than traffic, what was the speed of traffic?
Click here to see answer by josmiceli(9684)

Question 173469: Carlos leaves LA on a cross country car trip at 8 AM, he is going 50 mph; Juanita plans to do the same but leaves at 9 AM and travels 60 mph, develop a diagram or table to determine at what time Juanita will pass Carlos
Click here to see answer by checkley77(12569)

Question 173569: Four Minutes after Monica left to go to school with her mom, her Dad realized that she had left her math homework at home. He decided to bring it to her so she would not get in trouble. Since he was driving at a speed 20 mph more than Monica's mom, he caught up with her after 8 miles from their house. What was Monica's dad's speed?
Click here to see answer by stanbon(57361)

Question 173668: a moving van leaves a house traveling at an average rate of 35 mi/h. the family leaves the house 3/4 hour later following the same route in a car. they travel at an average rate of 50 mi/h.
a.define a variable for the time traveled by the moving van.
b.write an expression for the time traveled by the car.
c. copy and complete the table.
vehicle rate time distance traveled
moving van x x x
car x x x
Click here to see answer by Mathtut(3670)

Question 173670: Asailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current. Plus how would you check your answer.
Click here to see answer by checkley77(12569)

Question 173690: On a 135-mile bycycle excursion, Maria averaged 5 mph faster for the first 60 miles than she did for the last 75 miles. The entire trip took 8 hours. Find the rate for the first 60 miles.
Click here to see answer by Mathtut(3670)

Question 173818: Two towns A nd B are 3 miles apart. They want to build a new school to serve 200 students from A and 100 students from B. How far from A should the school be built if the toital distance traveled by all 300 students is the smallest possible?
Click here to see answer by stanbon(57361)

Question 173946: A fisherman in a canoe paddles 14 miles down a stream in the same amount of time that it takes him to paddle 6 miles upstream. If the speed of the current is 2 mph, what is the speed at which the fisherman can paddle in still water?
Click here to see answer by stanbon(57361)

Question 173940: this is actually a common topic.
2 trains (A and B) apart of each other 90km moving towards each other on the same straight track.
train A with speed 45km/h, and train B with speed 45km/h
a bee is in between the 2 trains flying from train A to train B and back and forth continuosly with speed 60km/h
assume that we do not consider the bee's mass and length, assume it's just a dot
the usual questions will ask what is the total distance traveled by the bee, but i would like to know "how many times can the bee fly back and forth before the 2 trains crash??"
there is also a picture of the situation in the URL below,
http://polymathprogrammer.com/2007/08/13/two-trains-and-a-bumblebee-problem/
a friend once said the answer is "the bee can fly infinite times before the 2 trains crash"
but I doubt that, because the 2 trains will crash within a fix amount of time, and therefore there is only a fix amount of times the bee can fly back and forth
can someone clarify this? thank you.

Click here to see answer by vleith(2825)

Question 173999: define a variable and write an equation for the situation. then solve.
suppose you are driving to visit a friend in another state. you are driving 50 miles per hour. you must drive 600 miles total. if you have already driven 375 miles, how long will it take you to reach your destination?
Click here to see answer by nerdybill(6961)

Question 174073: Doctor White leaves home to drive to a convention. She is traveling at 55miles/hour. She is 10 miles from home when her husband realizes that she has forgotten her briefcase. How fast will he have to drive to catch her in two hours?
Click here to see answer by ankor@dixie-net.com(15656)

Question 174164: Throwing a wrench: An angry construction worker throws his wrench from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)--16t^2-32t + 128.
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the ground?
I would like a confirmation or correction to my solutions below:
a) S= (-16t^2-32t+128)
-16-1^2(-32*1)+128
-16(1^2)+ or 1 32(1) + 128 = 80 ft
b) 0= -16t^2-32+128
-16t^2/-16 = 0
-16t^2/-16 = t^2
-32/-16 = +2
128/-16= -8
0=t^2+2t-8=
(t+4)*t-2 =0
t= -4 or t =2
t = 2 seconds
Click here to see answer by gonzo(654)

Question 174165: 1. At 5:00 a.m., a train leaves a station and travels at a rate of 35 mph. At 7:00 a.m., a second train leaves the same station on the same track and travels in the direction of the first train at a speed of 45 mph. At 8:00 a.m., how many miles seperate the two trains?
solve:
2. 1/3x-2=5
Click here to see answer by josmiceli(9684)

Question 174250: if 300 jellybeans cost x dollars. how many jellybeanscan you purchase for 50 cents at the same rate? ans is 150/x. could you explain How to get the ans. im doing a practice test
Click here to see answer by Mathtut(3670)

Question 174504: Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same route and averaged 30 miles per hour. If Esther spent a total of one hour commuting to an from work, how many miles did Esther drive to work in the morning?
Click here to see answer by solver91311(16897)

Question 174532: Two cars driving on opposite sides of the freeway are 20 miles apart and moving directly towards each other. one car is moving at 55 miles per hour, while the other ismoving at 70 miles per hour. How long will it take the two cars to pass each other?
Click here to see answer by rapaljer(4667)

Question 174514:
Click here to see answer by rapaljer(4667)

Question 174043: If the average radius of the orbit of venus is 0.723AU, then how many years does it take for venus to complete one orbit of the sun? Use the information given here 29.46 years,11.83 sun to jupiter, and 5.2 AU
Click here to see answer by ptaylor(2048)

Question 174710: If Bill rides his bike 3 mi to Fred's house and then walks with Fred the remaining 1 mi to school, it will take him 30 min. But if he rides the entire distance, it will take him only 20 min. Find his biking speed and walking speed.
for this equation, i tried to set the problems up like this:
3 b + 1 w= 30 min
b = 20 min
3(20) + 1 w = 30
60 + 1 w = 30
-60 -60
1 w = -30
I would like to see if this is a correct way to work. If not, then please assist me. I would really appreciate it!!
Click here to see answer by stanbon(57361)

Question 174808: A bus and a cyclist leave a school at 8 AM and head for a stadium 90 miles away. The rate of the bus is three times the rate of the cyclist. The cyclist arrives 4 hours after the bus. What is the equation? Find the rate of the bus.
Click here to see answer by stanbon(57361)

Question 175078: 'Jim rollerbladed the first 1,600 meters in 3 minutes. How long would it take him to rollerblade 10,000 meters?'
I'm not sure if I did any of this correctly, so a step by step would be usefull, thanks.
Click here to see answer by stanbon(57361)

Question 175073: A wife picks up her husband after work at a certain hour every day. (It takes the same amount of time to drive there as it does to drive back.) One day, her husband gets off work an hour early, so he stars walking. His wife leaves at her usual time and finds him along the way. THey arrive back home 30 minutes earlier than usual. How long did her husband spend walking?
Click here to see answer by ankor@dixie-net.com(15656)

Question 175290: how long would it take traveling 30mph for 6 miles in a car
Click here to see answer by Alan3354(30993)

Question 175379: If the distance between two cities is 140 miles, what is the distance in kilometers?
Click here to see answer by EMStelley(187)

Question 175379: If the distance between two cities is 140 miles, what is the distance in kilometers?
Click here to see answer by gonzo(654)

Question 175380: If the speed limit is 105km/hr, what is this in miles per hour?
Click here to see answer by EMStelley(187)

Question 175378: How do I convert 125 km to miles?
Click here to see answer by EMStelley(187)

Question 175381: Please help: If sheely ran 2 one-fourth miles, Lynne ran 3 one-eighth miles. Who ran farther and by how much?
Click here to see answer by josmiceli(9684)

Question 175381: Please help: If sheely ran 2 one-fourth miles, Lynne ran 3 one-eighth miles. Who ran farther and by how much?
Click here to see answer by Mathtut(3670)

Question 175420: an airplane travwl 100km/h then another airplane. In 4 hours the faster airplanes travel the same distance as the slower airplane travel in 6 hours. Find the rate of the faster airplane.
Click here to see answer by rapaljer(4667)

Question 175428: can u help me solve this problem
solve and graph on a numberline
8>=2x+4>=16
thank you
I don't know how to solve this problem on my midterm, because i was sick on that day

Click here to see answer by stanbon(57361)

Question 175451: A passenger train travels 392 mi in the same time that it takes a freight train to
travel 322 mi. If the passenger train travels 20 mi/h faster than the freight train,
find the speed of each train.
Click here to see answer by ankor@dixie-net.com(15656)

Question 175607: Please help with this word problem.
A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. how far is the train from the crossing?
Click here to see answer by Mathtut(3670)

Question 175278: Akram drove from Rochester to Albany, a distance of 219 miles. After the first 1.5 miles of travel, it started to snow and he reduced his speed by 26 miles per hour. It took him another 3 hours to complete the trip. Express, in r terms, the distance that Akram traveled in the first part of the trip. then express the distance that Akram traveled in the second part of the trip. then find the speed at which Akram traveled for each part of the trip. please help. D
Click here to see answer by ankor@dixie-net.com(15656)

Question 175645: two train started at the same time from station which were 360 miles apartand travel \ed toward each other, the rate of the fast train exceed the rate of the slow train by 10mph, at the end of 2 hour, they pass each other, find the rate of each train
Click here to see answer by checkley75(3666)

Question 175839: How long would it take to drive 375 miles at 55 miles per hour?
Click here to see answer by josmiceli(9684)

Question 175672: x^8 -256 / x-2

answer:x^7 + 2x^6 + 4x^5 + 8x^4 + 16x^3 + 32x^2 + 64x + 128
need a full break of how my text book got this answer (in long division format)
Click here to see answer by Mathtut(3670)

Question 175847: I need some help with formulating and solving word equations:
A man walks at a pace of 3 miles per hour. After two hours he stops and rest. Let t be the time after the rest when he continues on his walk. Let d be the total distance traveled since he started. Write an equation linking d and t. Explain...
Can someone please help? It is obvious that he walked a total distance of 6 miles but I befuddled about the total distance since nothing else is there?
Click here to see answer by scott8148(6628)

Question 175901: Gerry and Tony live 11km apart. Gerry leaves his home at 2 p.m. and bikes toward Tony's home at 25 km/hr. At the same time, Tony leaves his home and bikes toward Gerry's home at 30 km/hr as soon as they reach each other's homes they turn around and start back along the same route. They stop when they meet each other on the ride back to their own homes. How far are they are from Gerry's home when they stop?
Click here to see answer by josmiceli(9684)

Question 175912: A plain travels 560 miles to San Francisco and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 14 hours. Find the speed of the plain in still air and the speed of the wind.
Click here to see answer by josmiceli(9684)

Question 175949: A boat travels at the rate of 8 kph in still water. If it can travel a given distance upstream in 5 hours and the same distance downstream in 3 hours, what is the rate of the current?
Click here to see answer by vleith(2825)

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