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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 10258: My math problem is this:
A car goes from point A to point B, at a rate of 40 mph. Then the same car turns around and goes from point B to point A, at a rate of 60 mph. What is the average speen of this car? My teacher said that it was not 50 mph. I am very confused on this and would like a thurough explination. Thank you so much for this. :D I need all the help, and it is very much appreciated. I've spent time trying to figure out the answer to this, and I've come up with an average speed of 55 mph, but I am not sure how I got that, and I don't know how to check if it is right. Please help me and thank you.
Click here to see answer by rapaljer(3610)   |
Question 10606: PLANE FLIES POINT A TO POINT B, 120 MILES IN 12 HOURS, FLYING INTO A HEADWIND. ON THE RETURN TRIP WITH THE SAME WIND AS A TAIL WIND, THE TRIP FROM POINT B TO POINT A TAKES ONLY 2 HOURS. HOW FAST IS THE PLANE FLYING THROUGH THE AIR? HOW FAST IS THE WIND BLOWING?
Click here to see answer by mathmaven53(29) |
Question 10765: Nan and Peg were traveling to NYC to attend a conference. They were unable to buy seats on the same train. nan left at 10 am and her train traveled at 68 mph. Peg left from the same station but at 11:30 am. Her train traveled 60 mph. At what time did the train that Peg was on catch up to the train Nanwas on.
Please show me how you arrived at the answer. Thank you so much for helping me with this problem.
Click here to see answer by prince_abubu(198) |
Question 11425: Two planes left St. Louis for Los Angeles at the same time. After 4 hours they were 700 miles apart. The slower plane traveled at 350 miles/hour. What was the speed of the faster plane?
At first, I used the formula:
350(4)+4x=700
I kept getting a negative answer and the answer is supposedly 525 miles/hour. Any help would be appreciated! I've been working on this problem for a good 45 minutes already so please help!
Click here to see answer by askmemath(368) |
Question 11429: A passenger train and a freight train start at the same point at the same time and travel in opposite directions. The passenger train travels twice as fast as the freight train. In 4 hours they are 396 miles apart. What is the rate of each train
Click here to see answer by askmemath(368) |
Question 11610: Hello, Here is the question I need to solve to begin with
An earthquake emits primary waves moving at 8.0 Km/s and seconday waves moving at 5.0 km/s. How far from the epi-center of the earthquake is the seismic station if the two waves arrive at the station 2.0 min apart.
What I could figure out (I think)
I was converting time to seconds
2 min = 60x2=120 min
and converting km/s to ft/s
8.0km/s x 1000 m =8000m
8000m x 3.281 = 26248 ft/s
5.0km/s x 1000 m = 5000 m
5000m x 3.281 ft = 16405 ft/s
I was also trying calculations with d=rt where d= distance r= stands for rate of speed and t= time.
Thank you so much to any help or direction you can point me in!
Click here to see answer by Earlsdon(4898) |
Question 11711: Your assistance with this would be greatly appreciated. I worked it out or at least I though I did, but my answer isn't on the list.
"Two people leave their house at the same time, A-rides north at 12mph, B-rides west at 5mph. Maintaining speed, how far apart after 2 hours of riding."
I had: D=RT, D=(12)(2)=24 and D=(5)(2)=10, then 24-10=14. But my choice for answers are: 34, 26, 17, 13 miles apart.
Click here to see answer by Earlsdon(4898) |
Question 11755: Hi I have a question from my MATH208 class:
Abdul is shopping for a new truck in a city with an 8% sales tax. There is also an $84 title and license fee to pay. He wants to get a good truck and plans to spend at least $12,000 but no more than $15,000. What is the price range for the truck? Thanks very much!
Click here to see answer by Earlsdon(4898) |
Question 11852: Hi- Thanks in advance for any help with this problem.
Dexter rode his bike from school a to b at 18 miles per hour and then rode from school b to c at 10 miles per hour. This took a total of 8 hours. The distance from b to c is 20 more miles than the distance from a-b. How long did each part of the trip take?
Click here to see answer by rapaljer(3610) |
Question 11858: When a plane flies downwind, the wind pushes the plane so that its speed is the sum of the speed of plane in still air and the speed of wind traveling upwind, the wind pushes against the plane so that its speed is the difference of the speed of the plane in still air and the speed of the win.
Suppose a plane that travels 255mph in still air can travel 300 miles downwind in the same time as it takes to travel 210 miles upwind.
Complete the table and find speed of the wind
Downwind 255 + x ? 300
Upwind 255 - x ? 210
Click here to see answer by rapaljer(3610) |
Question 12159: The round-trip distane between Kaitlin's house and her school is 3.2 miles. Kaitlin rides her bike to school 3 days per week. Write an expression that can be used to find the number of miles kaitlin rides in w weeks.
Can you please show us how to set this problem up and solve it?
Click here to see answer by rapaljer(3610) |
Question 12597: A starts running at Speed 5 km/h at 8 am. after 30 minutes B starts running from the same point in the same direction at Speed 6 km/h. At what time, B will catch A.
Sir I solved it like this. Pl. correct me where I was wrong. The answer is 11 am (3 hrs).
Speed of A= 5 KM/h
Distance travelled in 30 minutes= 2.5 kms.
Relatve speed of B w.r.t. A = (6-5)= 1 km/h.
Distance of 1 Km is covered in 1 hr by B.
therefore gap of 2.5 kms will be covered by B in 1 * 2.5= 150 minutes (2 hrs 30 minutes) whereas the answer is 3 hrs. Pl. correct me.
Click here to see answer by kusha(21) |
Question 12597: A starts running at Speed 5 km/h at 8 am. after 30 minutes B starts running from the same point in the same direction at Speed 6 km/h. At what time, B will catch A.
Sir I solved it like this. Pl. correct me where I was wrong. The answer is 11 am (3 hrs).
Speed of A= 5 KM/h
Distance travelled in 30 minutes= 2.5 kms.
Relatve speed of B w.r.t. A = (6-5)= 1 km/h.
Distance of 1 Km is covered in 1 hr by B.
therefore gap of 2.5 kms will be covered by B in 1 * 2.5= 150 minutes (2 hrs 30 minutes) whereas the answer is 3 hrs. Pl. correct me.
Click here to see answer by rapaljer(3610) |
Question 12570: This is the question: Mr. Smith was told by his doctor that he needed to excercise. On Monday he jogged for 2 hours and then walked 3 hours to cover 30 miles in total. On Tuesday he jogged for 2.5 hours and then walked 4 hours to cover 38.5 miles in total. Find his speed (in miles per hour) when he is jogging.(please help me!)
Click here to see answer by AdolphousC(70) |
Question 13307: 3A train leaves Perryville at 6:00 AM and travels east at a rate of 64 mph, as it reaches Granite City a westbound train departs from Granite City for Perryville, traveling at a rate of 48 mph. How far is it from Perryville to Granite City by train if the westbound train gets to Perryville at 9:30 AM?
Click here to see answer by kusha(21) |
Question 13337: The path of a diver is given by y= -4/9x^2 + 24/9x +12 where y is the height in feet, and x is the hoizontal distance from the end of the diving board in feet. What is the maximum height of the dive?
I tried this on the ti-83 plus and got y= 16 feet, however, looking at the graph, I don't know which x value to use or how to work the problem once I find it. Thank you for your help. I was able to use one of your already worked problems to help me with another one of mine by substituting. This is a very helpful site.
Click here to see answer by bam878s(76) |
Question 13595: HOW MANY HOURS DOES IT TAKE TO GET TO THE MOON IF YOU ARE DRIVING IN A CAR GOING 5 MPH?
230,000 to 240,000 miles from the earth to the moon. FYI: The Apollo space craft, ejected from Earth orbit at 25,000 miles per hour (escape velocity) took 3 days to reach the Moon.
I am a fourth grader and not very good in math. This is for extra credit. I think the equation would be D=RT, but not sure how to plug things in.
Thank you.
jlr
Click here to see answer by longjonsilver(2297)  |
Question 13605: Hi I have a problem and I don't even know where to start.
Jay and Lisa are traveling west in separate cars on the same highway. Jay is traveling at 60 miles per hour and Lisa at 70 miles per hour. Jay passes Exit 54 at 2:30pm. Lisa passes the same exit at 2:36pm. At what time will Lisa catch up to Jay?
Thank you very much for any help!
Click here to see answer by longjonsilver(2297) |
Question 13685: A TORTOISE AND A HAIR LEAVE THE SAME PLACE AT THE SAME TIME. THE HAIR TRAVELS AT 30M/HR. AFTER 30 MIN THE HAIR HAS WENT 14.915 MILES FARTHER THAN THE TORTOISE. WHAT SPEED IS THE TORTOISE TRAVELING?
Click here to see answer by 600891(4) |
Question 14469: Please Help!!! I don't know how to set this up in an equation and come up with an answer.
Two people share the driving on a 300-mile trip. One person drives 3 times as far as the other. Find the distance each person drives.
Click here to see answer by Starz(4) |
Question 14579: two cares leave st.louis. one travels north and one travles south. the care traveling north is moving 10mph faster than the care traveling south. after three hours the cars are 354 miles apart. how fast is each car traveling?
Click here to see answer by glabow(165) |
Question 14579: two cares leave st.louis. one travels north and one travles south. the care traveling north is moving 10mph faster than the care traveling south. after three hours the cars are 354 miles apart. how fast is each car traveling?
Click here to see answer by dolphingurl(4) |
Question 16595: please help me solve the math problem i have . I would be glad if you can send me the answers with explaination so i can study how it is solved. Thanks !
question # 1
Working together, two details of airforce reservists can load a C-130 aircraft with relief supplies for hurricane victims in 6 hours . Working alone, the first detail can load the plane in two hours less time than the second detail can when working alone. How long would it take for the second detail, working alone , to load the plane ? ( neglect t value that would make details time negative).
question # 2
At a juice processing plant , one pipe can fill a storage tank with cranberry juice in two hours. Another pipe can fill the same tank with apple juice in 3 hours. If both pipes are open, how long does it take to fill the tank cran-apple juice ?
question # 3
Twice a number plus 1 is divided 1 less than half the number. The result is 5. What is the number ?
My pleasure if these problems are answered with solution. Glad i have found this website.
respectfully yours
suanie
Click here to see answer by Earlsdon(4898) |
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