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Word Problems: Travel and Distance

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Question 179409: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
Click here to see answer by josmiceli(3003)

Question 179410: The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
Click here to see answer by MissionPossible(18)

Question 179478: 2 cars 1029 miles apartheading toward each other. one is going 45 mph the other is going 53 mph. how many hours before the cars pass each other?
Click here to see answer by nerdybill(2446)

Question 179526: A truck starts at Point A and drives South three miles. Then it turns left at Point B and drives East four miles to Point C. How many miles is the truck at Point C from Point A if it were to drive directly from point A to Point C?
Click here to see answer by stanbon(26252)

Question 179599: A rock is thrown from the top of a building. The distance is feet, between the rock and the ground "t" seconds after it is thrown is given by d=16t^2+64X+128
what is the maximum height that the rock reaches?
Click here to see answer by Earlsdon(4898)

Question 179888: I am really stuck on this problem and could use some help.
At noon a train leaves Los Angeles, headed for Las Vegas, a distance of 260 miles. The train travels at a speed of 60 mph. At 1p.m. a second train leaves Las Vegas headed for Los Angeles, traveling at 40 mph. How long after the train leaves Las Vegas will the two trains pass each other?
This is how I attempted to work it out:
1st train distance= 60(x+1), rate= 60mph, time= x+1
2nd train distance= 40x, rate=40mph, time=x
60(x+1)=40x
60x +60=40x
60 =-20x
-3 =x
The trains could not pass at -3 hours. I can't figure out what I'm doing wrong! Please help. :-)
Click here to see answer by Mathtut(3670)

Question 180053: In a cartoon , a malfunctioning cannon fires a hungry coyote towards the bottom of a cliff with an initial rate of 100 feet per second. If the cliff is 1250 feet tall , how long will it take the coyote to reach the desert floor? (To account for gravity, use the formula d =rt + 16t^2, where d =distance, r = initial rate, and t = time.
Click here to see answer by nerdybill(2446)

Question 180015: Catherine is camping along a river. It takes her 1.5 hours to paddle her canoe 6 miles upstream from her campsite. Catherine turns her canoe around and returns 6 miles downstream to her campsite in exactly 1 hour. What is the rate of the river's current and the rate of Catherine's paddling in still water?
Click here to see answer by ankor@dixie-net.com(6689)

Question 180178: In a cartoon , a malfunctioning cannon fires a hungry coyote towards the bottom of a cliff with an initial rate of 100 feet per second. If the cliff is 1250 feet tall, how long will it take the coyote to reach the desert floor? ( To account for gravity , use the formula d - rt + 16^2, where d = dustance, r = initiall rate, and t = time).
Click here to see answer by stanbon(26252)

Question 180172This question is from textbook Algebra 1
: Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip, against the current, takes 4 hours. Find the average speed of the boat for the entire trip and the speed of the current.
This question is from textbook Algebra 1

Click here to see answer by ptaylor(1578)

Question 180320: When Samuel rides his bike at a speed of 22mph, it takes him 30 minutes to get home. Today he needs to get home in 25 minutes. How fast must he ride his bike to get home in time?
I get real flustered with these word problems. Is there an easy way to make it simple to understand?
Thanks!
Click here to see answer by stanbon(26252)

Question 180354: A train leaves the station at noon traveling at 44 mph. One hour later, another train going 52 mph, travels north on a parallel track. How many hours will the second travel before it overtakes the first train?

please help me...it will be appreciated.
Click here to see answer by ptaylor(1578)

Question 180620: lance armstrong won his fourth straight tour de France bike race in 2002. he is able to travel 32 miles per hour without resting. at this rate, how many feet per second he would be traveling?
Click here to see answer by solver91311(5072)

Question 180680: it takes one man 3 hours to pick up all the trash on a highway. it takes his partner 5 hours. if they work together, how long would it take?
Click here to see answer by Alan3354(6054)

Question 180710: Mr. Johnson rode his bike from his house to a store in Woodland Park at a rate of 10.3 miles per hour. He immediatly turned around and came home at an average rate of 22.5 miles per hour. If the total trip took him approximatley 5.15 hours, how far is it from his house to the store?
Click here to see answer by stanbon(26252)

Question 180758: On a trip of 800 km, Charlie drove at two different speeds. In one province he drove at 100 km/h and in another at 110 km/h. If the entire trip took seven and one-half hours, the distance travelled at the 110 km/h speed is?
Click here to see answer by stanbon(26252)

Question 180733: Variation Problem
Disregarding wind resistance, the distance a body falls from rest varies directly as the square of the time it falls. If a skydiver falls 64ft in 2 seconds, how far will he fall in 10 seconds?
Click here to see answer by Earlsdon(4898)

Question 180667: On a trip of 800 km , Charlie drove at two different speeds. \in one province he drove at 100 km/h and in another at 110 km/h. If the entire trip took seven and one-half hours, the distance travelled at the 110 km/h speed is?
Click here to see answer by ankor@dixie-net.com(6689)

Question 180871: If the sides of a dining room are 21 feet by 18 feet, what is the length of the diagonal?

Click here to see answer by Alan3354(6054)

Question 180882This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA
: I am totally confused on how to begin this problem, if someone could help it would be greatly appreciated.
Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current? This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA

Click here to see answer by nerdybill(2446)

Question 181012: Juan rides his bike from Lawrence to Salisbury beach (30 miles in 3 hours). He divides distance (miles) by time (hours) and sees that his overall average speed is 10mph. He buys 3 Power bars and eats them. How fast (mph) must he return so that his overall average speed for the round trip (60 miles) is 15mph?
Click here to see answer by edjones(3291)

Question 181114: two military squads are 26 miles apart. they plan to rendezvous at some intermediate point. if one squad hikes 2/3 mph faster than the other, and they meet in 3 hrs, what is the rate of the faster squad?
Click here to see answer by ankor@dixie-net.com(6689)

Question 181113: a man jogged to his friend's house at a rate of 6 mph. the trip took 20 minutes. how long will it take him to return home if he can maintain a rate of 8 mph?
Click here to see answer by ankor@dixie-net.com(6689)

Question 181158: an athlete covered a distance of 57 miles by walking for 2 hours and then riding a bicycle for the remainder of the trip. her rate increased by 10 mph on the bike. if the entire trip took 5 1/2 hours, what was her riding rate?
Click here to see answer by stanbon(26252)

Question 181115: an athlete covered a distance of 57 miles by walking for 2 hours and then riding a bicycle for the remainder of the trip. her rate increased by 10 mph on the bike. if the entire trip took 5 1/2 hours, what was her riding rate?
Click here to see answer by ankor@dixie-net.com(6689)

Question 181446: Joseph live 5 miles from the school and Maya lives 2 miles from the school. If Joseph walks from his house in the opposite direction from the school at a speed of 4 miles an hour and Maya walks from her house in the opposite direction from the school at a speed of 6 miles per hour, after how long will they be the same distance from the school? What is the distance?
Click here to see answer by ptaylor(1578)

Question 181544This question is from textbook Fourth Edition Elementary and Intermediate Algebra
: 4. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
This question is from textbook Fourth Edition Elementary and Intermediate Algebra

Click here to see answer by ptaylor(1578)

Question 181395: Pat travels 70 miles on her milk route, and
Bob travels 75 miles on his route. Pat travels 5 miles per
hour slower than Bob, and her route takes her one-half hour
longer than Bob’s. How fast is each one traveling?
Click here to see answer by ankor@dixie-net.com(6689)

Question 181590: What was the cost of gasoline for an individual that travelled 347.72 miles if gasoline was $1.87 per gallon? The driver averaged 30.3 miles per gallon. Round to the nearest cent.
Click here to see answer by solver91311(5072)

Question 181514This question is from textbook Saxon Algebra 1
: Trey is making an investment of (x-11) dollars. The rate of the interest on the investment is (x-11) percent. What is the interest gained after one year. (Hint: interest =principle x rate x time; i = prt)
This question is from textbook Saxon Algebra 1

Click here to see answer by HyperBrain(694)

Question 181628: Helen took the bus on her way to school and ran the rest of the way. She ran 3 mins. longer than she rode. If it took her 15 mins. to arrive in school, how long was her bus ride?
i tried to solve the problem, I want to know if this is right pLease I need your Help::
EQ: x + x + 3 = 15
2x + 3 = 15
2x = 15 - 3
2x/2 = 12/2
x= 6 minutes
Is this right??
Click here to see answer by stanbon(26252)

Question 181624: Helen took the bus on her way to school and ran the rest of the way. She ran 3 mins. longer than she rode. If it took her 15 mins. to arrive in school, how long was her bus ride?
Thank YOU!!
Click here to see answer by josmiceli(3003)

Question 181512: Giao wants to construct a picture frame made of wooden pieces that are 7 centimeters and 3 centimeters in length. He needs 20 pieces, and the total perimeter of the frame needs to be 108 centimeters. If Giao cuts eight 3 centimeter pieces first and is left with 0.8 meter of wood, will he have enough wood to cut the 7 centimeter pieces?
Click here to see answer by ankor@dixie-net.com(6689)

Question 181654: Hi. This problem seems to be missing a variable. Can you help me solve it please.
A passenger train left Miami and travelled towards New York. 14 hours later another train left traveling at 45 km/h in an effort to catch up with the first train. Train 2 caught up 4 hours later. What is the First trains average speed?
I tried setting the distances equal to each other
T1= rt=
T2= 45*18=810
rt1=810
but as I have neither the speed nor the time for train 1, I'm stumped. Help please.
Click here to see answer by eperette(173)

Question 181929: Two Air Force planes, one a jet and the other propeller-driven plane, left an air base at the same time and flew to another base 600 miles away. The jet's average speed was 300 miles per hour greater than that of the propeller-driven plane and its flying time was 2 and 2/3 hours less. Find the average speed of each plane.
Click here to see answer by ankor@dixie-net.com(6689)

Question 181967This question is from textbook
: I really cannot wrap my brain around word problems!!!! I really appreciate any help I can get so here is my question thank you!

One car left Valdosta averaging 55 mph. and another car left Atlanta averaging 70 mph. They traveled toward each other on interstate 75 Atlanta is north of Valdosta by 300 miles. When did they meet if they both left at noon? How far south of atlanta did they meet??
I need this put into a linear equation and just cant seem to be able to do it!This question is from textbook

Click here to see answer by ankor@dixie-net.com(6689)

Question 181970: Please help me solve this problem:
A triangle has a perimeter of 197 centimeters. The sum of the smallest and middle side is 49 more than the longest side. The difference of the longest and shortest side is 22. Find the lengths of the three sides of the triangle.
Click here to see answer by ankor@dixie-net.com(6689)

Question 182034: I have puzzled on this one a while - seems like I have two variables and two equations to solve - having touble setting it up...any suggestions appreciated
A Fed ex truck leaves San Diego to deliver a package to egg ville. One hour out of San Diego on the road it develops mechanical problems. It now slows its speed down to 3/5th of the average speed up to the time of the mechanical trouble. It hobbles along and gets to egg ville 2 hours late. If the mechanical troubles occurred 50 miles beyond where it had, the delay to egg ville would have been reduced by 40 minutes. Find the distance from San Diego to to egg ville.
Click here to see answer by ankor@dixie-net.com(6689)

Question 182118: Please help me solve this. I have no idea!
At the beginning of a walk, Roberto and Juanita are 3.3 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other they meet in 1 hour. What are Roberto and Juanita's speeds?
Thank you so much!
Click here to see answer by ankor@dixie-net.com(6689)

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