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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 66678: 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?
It is either:
8 hours
5 hours
6 hours
7 hours
I can not seem to figure out how to solve this type of problem, can someone please help me out? Thank you so much!
Click here to see answer by ptaylor(1578)   |
Question 66756: 36.Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer than Smith's. How fast was each one traveling?
62. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
The answer is 90 minutes can you help to setup and solve this expression?
Click here to see answer by ptaylor(1578) |
Question 66816: Could you please help me solve this?:
The Ed chairlift has a vertical rise of 900 feet and the Green Machine chairlift has a vertical rise of 1200 feet. Both ski lifts start at the ski lodge and Jason started and ended his day at the ski lodge. Jason skied a total of 15,900 vertical feet and rode only these two chairlifts a total of 16 times. How many times did he ride each chairlift?
Click here to see answer by stanbon(26251)  |
Question 67165This question is from textbook Intermediate Algebra with Applications
: I haven't done too bad with the word problems but this one has stumped me:
The typical cruising speed for a Boeing 747-400 airplane is 30 mph faster than that for a Boeing 737-800. If a Boeing 747-400 can make a trip of 1680 mi in 3 h, how long would it take a Boeing 737-800 to make the same trip? Round to the nearest tenth.
I know the equation to work with is rate x time = distance and have made a table solving for 30r x 3 = 1680. I have gotten r = 18.67 mph which I checked with the equation for the Boeing 747-400. When I try to take 18.67 x t = 1680 I'm getting 89.98 which is completely different from the answer in the book. I need to know how to set up the rest of the problem to solve for the correct answer. This question is from textbook Intermediate Algebra with Applications
Click here to see answer by ankor@dixie-net.com(6688)  |
Question 67165This question is from textbook Intermediate Algebra with Applications
: I haven't done too bad with the word problems but this one has stumped me:
The typical cruising speed for a Boeing 747-400 airplane is 30 mph faster than that for a Boeing 737-800. If a Boeing 747-400 can make a trip of 1680 mi in 3 h, how long would it take a Boeing 737-800 to make the same trip? Round to the nearest tenth.
I know the equation to work with is rate x time = distance and have made a table solving for 30r x 3 = 1680. I have gotten r = 18.67 mph which I checked with the equation for the Boeing 747-400. When I try to take 18.67 x t = 1680 I'm getting 89.98 which is completely different from the answer in the book. I need to know how to set up the rest of the problem to solve for the correct answer. This question is from textbook Intermediate Algebra with Applications
Click here to see answer by astein76(1) |
Question 67327: A train 200 meters long was traveling at a constant rate of 20 meters per second through a tunnel. It took 1 minute and 10 seconds from the time that the front of the train entered the tunnel until the time that the back of the train left the tunnel. What is the length of the tunnel, in meters?
Click here to see answer by stanbon(26251) |
Question 67376This question is from textbook Advanced mathematics
: The still-water speed of the Faerie Queen was 4 times the speed of the current in the Lazy River. The Faerie Queen can travel 100 miles downstream in 1 hour more than she requires to travel 30 miles upstream. What is the still-water speed of the Faerie Queen and how fast does the Lazy River flow?This question is from textbook Advanced mathematics
Click here to see answer by ptaylor(1578) |
Question 67455: The length and width of the floor of a room are each 10 meters. The height is 3 meters. A fly on the ceiling in a corner, sees a crumb on floor in the corner diagonally oppostite. If the crumb does not move, what is the shortest distance the fly can travel to reach the crumb, to the nearsest tenth of a meter?
Click here to see answer by ptaylor(1578) |
Question 67593This question is from textbook 
: A bus leaves a station at 1 P.M., traveling west at an average
rate of 44 mi/h. One hour later a second bus leaves the same station, traveling
east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?This question is from textbook
Click here to see answer by checkley71(8405) |
Question 67593This question is from textbook
: A bus leaves a station at 1 P.M., traveling west at an average
rate of 44 mi/h. One hour later a second bus leaves the same station, traveling
east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?This question is from textbook
Click here to see answer by josmiceli(3003) |
Question 67697This question is from textbook
: At 10:00AM a car left the service station on Route 209 heading south at 86knh. At 10:30 AM another car left the station and headed south at 80kmh. At what time were the cars 55km apart?This question is from textbook
Click here to see answer by ptaylor(1578) |
Question 67695This question is from textbook
: Two cars left daisy's Diner at the same time and traveled in opposite directions. One car traveled 78 minutes. the other car traveled for 144 min at a rate of 5kmh faster than the first car. If the faster car went twice as far as the slower car, how far did each car travel? (express the times in hours)
This question is from textbook
Click here to see answer by ptaylor(1578) |
Question 67731: Steve leaves Nashville to visit his cousin David in Napa 80 miles away. He travels at an average speed of 50 m/hr. Half an hour later, David leaves to visit Steve traveling at an average speed of 60 m/hr. How long after David leaves will they meet?
(I would really appreciate it if you would be able to answer it for me because I had been trying to make up an equation this whole entire day. Thanks in advance.)
Click here to see answer by ankor@dixie-net.com(6688) |
Question 68171This question is from textbook College Algebra
: A speedboat takes 1 hour longer to go 24 miles up a river than to return. If the boat cruises at 10 miles per hour in still water, what is the rate of the current?
If R*T=D, and R is speed + or - current, how can you find the rate without the time, and how can you find the time without the rate?This question is from textbook College Algebra
Click here to see answer by ptaylor(1578) |
Question 68197: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Click here to see answer by venugopalramana(3286)  |
Question 68203: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Click here to see answer by Nate(3495) |
Question 68378: 2 planes take off from the same airport at the same time flying in opposite directions. 1 plane travels at twice the speed of the other plane. After 3hrs, they are 1,620 miles apart. What is the average speed(rate)of each plane?
plane 1 = 2x
plane 2 = x
distance =1,620 miles
time = 3 hrs
r = d/t r = 1,620/3 or r = 1620 - 2x(3)
Click here to see answer by checkley71(8405) |
Question 68498: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Thanks for any help you can provide.
Click here to see answer by stanbon(26251) |
Question 68498: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Thanks for any help you can provide.
Click here to see answer by checkley71(8405) |
Question 68681: Please help me with this: A passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. If the speed of the passenger train is 25 miles per hour faster than the speed of the freight train, find the speed of each train.
I have tried all day to come up with a solution and cannot come up with one.
Click here to see answer by josmiceli(3003) |
Question 68691: A plane flies 720 miles against a steady 30 mile per hour head wind and then returns to the same point with wind. If entire trip takes 10 hours, what is plane`s speed in still air? I do not even know where to begin. Please help me. Thank you in advance.
Click here to see answer by checkley71(8405) |
Question 68690: Arianna took 2hours longer to drive 360 miles on the first day of a trip than she took to drive 270 miles on the second day. If her spped was the same both days what was the driving time each day? Here is what I came up with. Can you help me figure this out? Thank you in advance.
270/t = 360/t+2
270(t+2)=360t
270t + 540 = 360t
540 = 120
t = ?
Click here to see answer by rmromero(383) |
Question 68690: Arianna took 2hours longer to drive 360 miles on the first day of a trip than she took to drive 270 miles on the second day. If her spped was the same both days what was the driving time each day? Here is what I came up with. Can you help me figure this out? Thank you in advance.
270/t = 360/t+2
270(t+2)=360t
270t + 540 = 360t
540 = 120
t = ?
Click here to see answer by stanbon(26251) |
Question 68763: Raymond takes a road trip from Sacramento, CA to South Lake Tahoe, CA. He follows the highway, driving a distance of 100 miles each way. On the drive to South Lake Tahoe he averages 40 mph and on the return trip averages 50 mph. What was his average speed for the entire trip?
Click here to see answer by josmiceli(3003) |
Question 68790: A motor boat traveled 12 miles with the current, turned around, and returned 12 miles against the current to its staring point. The trip with the current took 2 hours and the trip against the current took 3 hours. Find the speed of the boat and the speed of the current.
Click here to see answer by checkley71(8405) |
Question 68816: Suppose that you have entered a 15 - mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 7 miles per hour and during your swim, your average velocity is 2 miles per hour. You finish the race in 2.5 hours. What is the length of the swim? What is the distance of the run?
Click here to see answer by ankor@dixie-net.com(6688) |
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