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Word Problems: Travel and Distance

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Question 119852: The numerator of a fraction is 6 less than its denominator, and the value of the fraction is 3/5.
Click here to see answer by josmiceli(3003)

Question 119951: Solving a science application.
the height h in feet of an object after t seconds is given by the function.
h= -16t^2+30t+7
how long will it take the object to hit the ground? round nearest thousandth
Click here to see answer by jim_thompson5910(13785)

Question 119999This question is from textbook Beginning and Intermediate Algebra
: A river boat tour begins by going 60 miles upstream against a 5 mph current. Then the boat turns around and returns with the current. What still-water speed should the captain use to complete the tour in 5 hours?This question is from textbook Beginning and Intermediate Algebra

Click here to see answer by ankor@dixie-net.com(6688)

Question 120014:
The length of a rectangle is 4 in. greater than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rectangle.
Click here to see answer by checkley71(8405)

Question 119977This question is from textbook

: Sharon drove for part of a 150 km trop at 45 km/h and the rest of the trop at 75km/h. How far did she drive at each speed if the entire trip took her 2h 40 mins.This question is from textbook

Click here to see answer by ankor@dixie-net.com(6688)

Question 120160This question is from textbook Algebra 2 An Incremental Development
: Queen Hatshepsut rode a litter at 2 kilometers per hour for the firt part of the journey to necropolis. She was going to be late, so she changed to a chariot traveling 8 kilometers per hour for the last part of the trip. If it was 28 kilometers to the necropolis and the trip took 8 hours, how far did she ride in the litter and how far did she ride in the chariot?This question is from textbook Algebra 2 An Incremental Development

Click here to see answer by heidi_1_1(5)

Question 120190: a train leaves Havre at 5:30 and heads west at 40/mph. Half an hour later another train leaves Havre heading east at 60/mph what time will it be when the two trains are 200 miles apart
Click here to see answer by checkley71(8405)

Question 120234This question is from textbook College Algebra
: Two cyclists, 91 mi apart, start riding towards each other at the same time. One cycles just as fast as the other. If they meet 3 hr later, at what average speed is each cyclist traveling?This question is from textbook College Algebra

Click here to see answer by josmiceli(3003)

Question 120330This question is from textbook elementary and imtermediate algebra
:
The student teacher ratio for Washington High was reported to be 27.5 to 1. If there are 42 teachers, then how many students are there?This question is from textbook elementary and imtermediate algebra

Click here to see answer by checkley71(8405)

Question 120329This question is from textbook elementary and imtermediate algebra
: Leon drove 270 miles to the lodge in the same time as pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?This question is from textbook elementary and imtermediate algebra

Click here to see answer by checkley71(8405)

Question 120468: a passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. if the speed of the passenger train is 25 mi/h faster than the speed of the freiht train, find the speed of each.
Click here to see answer by ptaylor(1578)

Question 120264: Question:
James paddled his boat upstream for one mile. He continued for
another 15 minutes, then turned around and paddled downstream,
arriving at his starting point in exactly 1 hour.How fast is the
current of the stream?
Click here to see answer by ankor@dixie-net.com(6688)

Question 120931: A person is biking and rode 30 miles in 2 hours with the wind and rode 12 miles in 3 hours against the wind. What is the rate of the wind speed? How would I set up the problem with 2 variables?
Click here to see answer by scott8148(3382)

Question 120984: During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway. Write an equation to represent this problem, and then find Fernando’s rate on the side roads.
Click here to see answer by ankor@dixie-net.com(6688)

Question 121073: During rush hour,adriana can drive 30 miles using the side roads in the same time that it takes to travel 15 miles on the Freeway. If Adriana'a rate on the side roads is 6 mi/hr faster than her rate on the freeway, find her rate on the side roads.
6,8,12,14
Is the correct answer 6?
Click here to see answer by ptaylor(1578)

Question 121090: If Jim road his bike 6 miles per hour one way and Sarah walked 1/3 of a mile per hour the other way, how long would it take them to be 21 miles apart?
Click here to see answer by josmiceli(3003)

Question 121004: A baseball is hit off atee 2ft tall with a velosity of 3ft per sec. use h=-16t+vt+s to determine the time it well take to hit the ground
Click here to see answer by ankor@dixie-net.com(6688)

Question 121124This question is from textbook elementary and imtermediate algebra
: At the kickoff of a football game the receiver catches the football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? ( A football field is 100 yards long and 160 yards wide.)This question is from textbook elementary and imtermediate algebra

Click here to see answer by stanbon(26251)

Question 121178: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At what speed must he travel the rest of the way to make his overall average speed for the trip 40 mph?
Click here to see answer by checkley71(8405)

Question 121239: Traveling against the current, the Scouts paddled 20km in 4 h. The return trip with the current took 1.5 h less. Find (a) the Scout's paddling rate in still water and (b) the rate of the current.
Click here to see answer by ankor@dixie-net.com(6688)

Question 121391This question is from textbook elementary and imtermediate algebra
: At the kickoff of a football game the recveiver catches the football at the left side of goal line and runs for a touchdown diagonally across the field. Haw many yards would he run? ( a football field is 100 yards long and 160 feet wide)This question is from textbook elementary and imtermediate algebra

Click here to see answer by stanbon(26251)

Question 121398: 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 second part of the trip?
Click here to see answer by checkley71(8405)

Question 121583This question is from textbook algebra and trigonometry with analiytic geometry
:
Two children, who are 255 meters apart, start walking toward each other at the same instant at rates of 1.3 m/s and 1.7 m/s, respectively (see the figure).
When will they meet?
After sec.
How far will each have walked?
The girl: m
The boy: mThis question is from textbook algebra and trigonometry with analiytic geometry

Click here to see answer by checkley71(8405)

Question 121581This question is from textbook algebra and trigonometry with analiytic geometry
: At 5 A.M. a snowplow, traveling at a constant speed, begins to clear a highway leading out of town. At 8 A.M. an automobile begins traveling the highway at a speed of 49 mi/hr and reaches the plow 30 minutes later. Find the speed of the snowplow.

PLEASE I NEED HELPP!!!!!!This question is from textbook algebra and trigonometry with analiytic geometry

Click here to see answer by solver91311(5072)

Question 121717: A boy has planned a three-hour bicycle ride. After biking at a rate of 14 mph for awhile, the bike breaks down and he rides back with his father at a rate of thirty-five mph. How far did the boy ride his bicycle if he returns one hour after he left?
Click here to see answer by ankor@dixie-net.com(6688)

Question 121772: I have the answer to the following problem in my book, but I can't figure out the formula to use to get it right. Please help me figure out the correct formula. Thanks so much.:
An airplane flying against the wind travels 300 miles in the same time that it would take the same plane, flying the same speed, to travel 400 miles with the wind. If the wind speed is 20 mph, find the speed of the airplane in still air.
I tried this: 300/N-20 = x, 400/N+20 = x But I could not solve for x with just a number because of the N. This was Distance / Rate = Time. I also tried: 300 = (x)(N-20), 400 = (x)(N+20), but again cannot solve completely with two unknowns. Please help!!!!
Click here to see answer by scott8148(3382)

Question 122024: Two cars start from the same town at the same time and travel in opposite directions. One car averages 50 miles per hour and the other 60 miles per hour. In how many hours will they be 550 miles apart?
Click here to see answer by checkley71(8405)

Question 122248: It takes Tom 2 days to paint a house and it takes Leah 4 days and it takes Lisa 6 days. How long will it take to paint the house together?
Please explain how to set up this solution
Click here to see answer by stanbon(26251)

Question 122265: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
Click here to see answer by checkley71(8405)

Question 122329: Junior drove his rig on Interstate 10 prom San Antonio to El Paso. At the halfway point he noticed that he had been averaging 80 MPH, while his company requires his average speed to be 60 mph. What must his spped for the last half of the trip be so that he will average 60 mph for the entire trip?
Click here to see answer by checkley71(8405)

Question 122540: The problem is Calculate how long will it take for you to come to school if you travel 27.24 miles at 50 miles per hour. I just want to see if my answer is right. I did 27.24 miles x 60 minutes/50 miles getting an answer of 32minutes and 70 seconds.
Am I doing this problem correctly? Thank you.
Click here to see answer by MathLover1(1183)

Question 122561: The speed of sound in water is 1.46*10^3 meters per second. The speed of sound in air is 3.31*10^2 meters per second. How much faster does sound travel in water than in air?
Click here to see answer by rapaljer(3610)

Question 122557: If a farmer can see 12 miles from a firetower, How many square miles can he see?
Is 75.36 right?
Click here to see answer by checkley71(8405)

Question 122620: 1)A jogger starts a course at a steady rate of 8 kph.Five minutes later,a second jogger starts the same course at 10 kph.How long will it take the second jogger to catch the first?
2)A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph.How far downstream should he go if he is to return in 7/4 hourse after leaving?
3)Two planes leave Manila for a southern city,a distance of 900 km.Plane A travels at a ground speed of 90 kph faster than the plane B.Plane A arrives in their destination 2 hours and 15 minutes ahead of Plane B.What is the ground speed of Plane A?
Click here to see answer by ankor@dixie-net.com(6688)

Question 122725This question is from textbook Prentice Hall Algebra 1
: A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less time. Find the speed going.This question is from textbook Prentice Hall Algebra 1

Click here to see answer by checkley71(8405)

Question 122672This question is from textbook algebra and trigonometry with analiytic geometry
: A bullet is fired horizontally at a target, and the sound of its impact is heard 0.9 seconds later. If the speed of the bullet is 3190 ft/sec and the speed of sound is 1100 ft/sec, how far away is the target?
Give your answer correct to the nearest tenth of a foot. This question is from textbook algebra and trigonometry with analiytic geometry

Click here to see answer by ankor@dixie-net.com(6688)

Question 122739: I am having major problems with this word problem:
On a round trip of 252 miles in each direction, the average rate of travel going was 7 mph more than the rate returning. Find the rate for each direction if the entire trip took 21 hours.
Click here to see answer by checkley71(8405)

Question 122849: A car travels 40 mph for 20 miles, 36mph for 24 miles, and 48 mph for 16 miles. What is its average speed?
Click here to see answer by checkley71(8405)

Question 123077: Boudreaux rowed his pirogue from his camp on the bayou to his crab traps. Going down the bayou , he caught a falling tide that increased his normal speed by 2 mph but coming back he decreased his speed by 2mph. GOing with the tide, the trip only took 10 min; going against the tide the trip took 30 minutes. How far is it from Boudreaux's camp to his crab traps.
HINT: With the tide his rate is x+2 mph and against the tide his rate is x-2.
Click here to see answer by rajagopalan(125)

Question 123076: Bobby and Rick are in a 10 lap race on a one mile oval track. Bobby, averaging 90mph has completed two laps just as Rick is getting his car onto the track. What speed must Rick average to be even with Bobby and the end of the tenth lap.
Hint: Bobby does 8 miles in the same time RIck does 10miles.
Click here to see answer by ankor@dixie-net.com(6688)

Question 123279: a family was driving 270 miles from miami to tampa.after 5 hours of driving they saw a sign that said tampa 45 miles.what was the average number of miles per hour they drove for the first five hours?
Click here to see answer by checkley71(8405)

Question 123370: please help me solve:
One person travel h hours at 60 miles per hour. A second person traveled
2h-5hours at 40 miles per hour. Both went same ditance. How many hours did
the second person traveled?
ANSWERS CAN BE: 5hours, 20hours, 25hours , or 10 hours.
my answer is 5 hours, is this right?

Click here to see answer by ankor@dixie-net.com(6688)

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