Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 27745: This problem has given me alot of trouble.
A man travels from Town X to Town Y at an average rate of 50 mph and returns at an average rate of 40 mph. He takes 1/2 hour longer than he would if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y? I really appeciate your time. thanks.
Click here to see answer by wuwei96815(245)  |
Question 28163: Jackie dives x distance at 50 miles per hour and returns over the same route at 40 miles per hour. What is her average speed for the round trip in miles per hour?
A. 40.3
B. 44.4
C. 45.0
D. 46.2
E. 47.5
I thought that when you figure the average in a problem you add up all the numbers and then divide by the amount of numbers there are. I believe that the answer should be (C). The answer they say is (B). Why?
Click here to see answer by Earlsdon(6287) |
Question 28225: A ship travels from New York to Southampton, England at 33 miles per hour. A plane traveling 605 miles per hour takes 104 hours less time to make the same trip. How far apart are the two cities?
Click here to see answer by Paul(988) |
Question 28346: A rock falls off a building, and its position after t seconds of free fall is 269-16t2 feet above the ground. The building is 269 feet tall.
a. What is the rock’s velocity at t=3 seconds?
b. How long does it take the rock to hit the ground?
Click here to see answer by Paul(988) |
Question 28460: Martha was leaning out of the window on the second floor of her house and speaking to Steve. Suddenly, her glasses slipped from her nose. The glasses hit the ground in 2.2 seconds. Neglecting the effects of air resistance, answer the questions below.
A. What is the height of the window from the ground?
B. What was the impact velocity of the glasses?
Click here to see answer by askmemath(368) |
Question 28533: Can you please help me figure this problem out and show the work so I can understand what your doing when you figure it.
Debbie rides her bicycle to her friends house. Debbie rides her bike at constant speeds of 6mph on level ground. 4mph when going uphill, and 12mph when going downhill. If her total time riding was 1 hour, how far is it to her friends house?
Click here to see answer by venugopalramana(3286) |
Question 28621: At 9 am a freight train starts from L.A. and heads for Chicago at 50 mph. 2 hours later, a passenger train leaves the same station for chicago traveling 60 mph.
A. What time does the passenger train overtake the freight train?
B. How far are they from L.A. when this happens?
Click here to see answer by Paul(988) |
Question 28620: The farmer and his son leave a barn at the same time and walk in opposite directions checking a fence line. The son walks at a speed of 3.5 km/h, and the farmer at 4.0 km/h. How much time will have elapsed when the farmer and his son are 2.5 km apart?
Click here to see answer by Paul(988) |
Question 28656: A bicyclist leaves Bay Shore traveling at an average speed of 12 miles per hour. Three hours later, a car leaves Bay Shore, on the same route, traveling an average speed of 30 miles per hour. How many hours after the carleaves Bay Shore will the car catch up to the cyclist?
1) 8
2) 2
3) 5
4) 4
Click here to see answer by Paul(988) |
Question 28360: Find the distance, in miles, that a car has traveled after 0.5, 1.0, 1.5,...hours until the end of the trip. The car travels for 4 hours with an average speed of 55 mile per hour.
What would be the best way to solve this problem?
Click here to see answer by emmychan(11) |
Question 28847: I'm having some trouble figuring out how to set this problem up. Anything you could do to help me would be great. Thank you
Allison drives 30 miles per hour through the city and 55 miles per hour on the New Jersey Turnpike. She drove 90 miles from Battery Park to the Jersey Shore. How much of the time was city driving if she spent 1.2 hours on the turnpike?
Click here to see answer by Paul(988) |
Question 28899: 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. IF FERNANDO'S RATE ON THE SIDE ROAD IS 9 MILES/HOUR FASTER THAN HIS RATE ON THE FREEWAY, FIND HIS RATE ON THE SIDE ROAD.
Click here to see answer by Paul(988) |
Question 28909: Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles per hour with the wind, and in the same amount of time runs 7 miles against the wind. What is the rate of the wind.
Can you please help me set this up, I can't figure out how to write the equations.
Click here to see answer by Paul(988) |
Question 28932: A 150 mile trip is driven at R miles per hour. The same trip would take 2 hours less if you increase the speed by 20 mph. What is R? I have tried R=150/t
R=150/t-2 (150/t+2=150/t-2).t(t-1)= 150t-150t+2t2-2t= t2-t-150=0 = (t+2)(t+75)and that is as far as I get because I know that that is not right.
Thank you for your help. These always put me in a tail spin. Cheryl Vogel
Click here to see answer by Paul(988) |
Question 28932: A 150 mile trip is driven at R miles per hour. The same trip would take 2 hours less if you increase the speed by 20 mph. What is R? I have tried R=150/t
R=150/t-2 (150/t+2=150/t-2).t(t-1)= 150t-150t+2t2-2t= t2-t-150=0 = (t+2)(t+75)and that is as far as I get because I know that that is not right.
Thank you for your help. These always put me in a tail spin. Cheryl Vogel
Click here to see answer by stanbon(57222) |
Question 28961: A bus travels 387 miles in 5 hours. One hour of the trip was in city traffic. The bus's city speed was just half of its speed on the open highway. The rest of the trip was on the open highway. Find the bus's city speed,highway speed, city distance, and highway distance?
Click here to see answer by stanbon(57222) |
Question 28961: A bus travels 387 miles in 5 hours. One hour of the trip was in city traffic. The bus's city speed was just half of its speed on the open highway. The rest of the trip was on the open highway. Find the bus's city speed,highway speed, city distance, and highway distance?
Click here to see answer by Paul(988) |
Question 28958: It took Cindy 2 hours to bike from Abbott to Benson at a constant speed. The return trip took only 1.5 hours because she increased her speed by 6 mph. How far apart are Abott and Benson? How fast did go to get to Benson? How fast did she return?
Click here to see answer by Paul(988) |
Question 28980: hey this problem made my brain literally bust please help I need a quick response
It takes a plane 30 minutes longer to fly from Boston to Los Angeles at 525 mph then it does to return at 600mph. How far are the cities? How long does it take to go? Return?
Click here to see answer by stanbon(57222) |
Question 28976: Two airplanes start at the same time from cities that are 2448 miles apart. They met in one-in-one half hours. The rate of one plane is 288 mph less than the rate of the other. What is the rate of each? How far will each plane have gone?
Click here to see answer by Paul(988) |
Question 29066: Alexandra lives thirty-three miles from work. During the summer, she rides her bike at seven mph to the metro station. She then takes the metro to work, which travels at thirty-nine mph. If she spends twenty-one minutes (which is .35 hour) less on the bike than on the metro, what is the distance from her house to the metro? (Work with the time in hours and round the final answer to a whole number.)
Click here to see answer by Paul(988) |
Question 29073: a boat travels 12 miles downstream in 1.5 hours. on the return trip the boat travles the same distance upstream in 2 hours. find the rate of the boat in still water and the rate of the current
Click here to see answer by Paul(988) |
Question 29068: Miklea drove 500 miles on her three wheeler. She rotated a spare tire with the other tires so that all four tires got the same amount of wear. How many miles did each tire accumulate? (Show your work)
Click here to see answer by checkley72(6) |
Question 29091: Two jets leave Dever at 9:00am one flying east at a speed 50 mph greater than the other,which is flying west. At 11:00 am the planes are 2500 miles apart. Find each of their speeds and distances.
Click here to see answer by Nate(3500) |
Question 29239: A train leaves a city heading west and travels at 50 miles per hour. Three hours later, a second train leaves from the same place and travels in the same direction at 65 miles per hour. How long will it take for the second train to overtake the first train?
Click here to see answer by sdmmadam@yahoo.com(530) |
Question 29256: A freight train leaves Kansas and travels due west. A passenger train departs at exactly the same time on a parallel track and travels due east at a speed that is twice the speed of the freight train. After 7 hours the trains are 945 miles apart. How fast is each train traveling?
Click here to see answer by Paul(988) |
Question 29256: A freight train leaves Kansas and travels due west. A passenger train departs at exactly the same time on a parallel track and travels due east at a speed that is twice the speed of the freight train. After 7 hours the trains are 945 miles apart. How fast is each train traveling?
Click here to see answer by venugopalramana(3286) |
Question 29372: Hello, I have an alegebra problem. The answer I came up with is 12.70 average speed, but I don't think I am correct. Could you please help me?
A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on the level road if the entire trip was 305 miles
Click here to see answer by Paul(988) |
Question 29428: Hello,
I have this word problem that i could use some help on.
Jeff starts driving at 60 miles per hour from th same point that Lauren starts
driving 50 miles per hour. They drive in opposite directions and Lauren has
a half-hour head start. How long will Jeff drive before they are 300 miles
apart.
Thanks so much
Click here to see answer by Paul(988) |
Question 29463: I am not sure how to set this up. An express and a local train leave Seattle at 3pm and head for Arlington 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of the train.
I have tried this several ways.... trying to use elimination, or substitution. I just can't get it. Help!
50 = x + y
50 = 2y + x Is this even close? Thanks for your help!
Click here to see answer by longjonsilver(2297)  |
Question 29463: I am not sure how to set this up. An express and a local train leave Seattle at 3pm and head for Arlington 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of the train.
I have tried this several ways.... trying to use elimination, or substitution. I just can't get it. Help!
50 = x + y
50 = 2y + x Is this even close? Thanks for your help!
Click here to see answer by venugopalramana(3286) |
Question 29459: Just need some help setting this one up please, I believe it should be a quadratic equation but not quite sure. ok here it is: A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is -16t^2+112t. After how many seconds will the ball be 160 feet from the ground? I was thinking it should be set up as -16t^2+112t-160=0 Thanks for your help!!
Click here to see answer by longjonsilver(2297) |
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