Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 1061984: Two buses are scheduled to arrive at the terminal at the same time. One bus is south of the terminal, driving north at 37 miles per hour. At the same time, another bus is north of the terminal and is driving south at 45 miles per hour. They are currently 54 miles apart. How long will it be before the buses arrive at the terminal?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1062277: An airplane is at a location 800 miles west of city X. Another airplane is at a distance of 1,200 miles in a direction S 30° W from city X. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude.
Click here to see answer by Boreal(15235)  |
Question 1062292: a car leaves an intersection traveling at an average speed of 56 miles per hour. ten minutes later a second car leave the same intersection and travels on a road making an angle of 112 with the first car, at an average speed of 54 miles per house. assuming the roads are straight, how far apart are the cars 30 minutes after the first car has left?
Click here to see answer by josgarithmetic(39630) |
Question 1062292: a car leaves an intersection traveling at an average speed of 56 miles per hour. ten minutes later a second car leave the same intersection and travels on a road making an angle of 112 with the first car, at an average speed of 54 miles per house. assuming the roads are straight, how far apart are the cars 30 minutes after the first car has left?
Click here to see answer by ikleyn(52879)  |
Question 1061578: Rachel takes three to commute to her job the commute takes her on average , 1hour and 20 minutes. If she walks for about 15 minutes and rides the trains for about 53 minutes. What's her average waiting time at each of the three train stations?
Click here to see answer by Alan3354(69443)  |
Question 1062442: An airplane started at rest on one end of a 1.5 mile runway. The plane accelerated so that it reached take-off speed of 150 mph a quarter-mile before reaching the other end of the runway. What was the plane's acceleration?
Click here to see answer by Alan3354(69443)  |
Question 1062445: Bev takes a train home at 4:00, arriving at the station at 6:00. Every day, driving at the same rate, her husband meets her at the station. One day, she takes the train an hour early and arrives at 5:00. Her husband leaves home to meet her at the usual time, so Bev begins to walk home. He meets her on the way and they arrive home 20 min earlier than usual. How many minutes did Bev walk?
Here is how I solved the problem: I think the time of 2 hours spent traveling between the Work and Train Station is irrelevant to the problem. The key to the problem is the second situation, when her husband picks her up on a way from work, when he found her walking home, because she arrived early. So TIME they meet is critical to find. But how do we do that? I think the distance husband spends driving until he finds her walking and the distance she is walking equals the usual distance that picks her up all the time (that would be the distance between home and train station). So, if he arrives home with her at the usual time at t=x hours, the time it will take him to arrive home with her 20 min earlier is t=(x-0.333) hours. But how do I find the time husband meets wife walking home from work to find the times she spent walking towards her husband. I figured, they walk TOWARDS EACH OTHER, so I was going to use the same reasoning than when any two people walk towards each other or travel on the same line, while walking towards each other. That's why I set the first equation to d(H)+d(B)=usual distance spent driving to the train station from home, where d(H) is distance of husband driving to the train station from home and where d(B) is the distance wife walks home from the train station. But in the first situation and (thus, this first equation), the wife just waits at the train station for the husband to arrive, so she is not walking, because she knows he is coming to pick her up at 6:00. So we can't really use this first equation, because her distance walking would be zero and the equation will thus reduce to express only the distance that husband travels and that is the total distance traveled one way, meaning half the loop (NOT whole loop, or NOT on a first round), so we need to double that distance to make it WHOLE LOOP (FULL LOOP). SO HUSBAND TRAVELS d(H)=whatever that full distance is that he drives to the train station and then home with the wife after picking her up at the train station. So that distance from Home to Train Station is a certain unknown number, but this number is the same than the distance when husband travels to meet wife at the train station when she arrived early and began walking home. So, it's the same distance in both situations. But how do we figure out, when do they meet? What is the t(meet)? And then what is the time that she spends walking home before husband picks her up? So, in this situation, they are both heading TOWARDS EACH OTHER, so we can use the second equation: d(H)+d(A)=total distance between home and train station. So, if I can figure out what the total distance or time is in a first situation (from home to train station) and what husband's time is in second situation, I can subtract the two, and get the time she spent walking home before husband picked her up. I can set up the second equation and just say: Since Bev is walking at y miles/hour and meets husband in (x-0.333 hours), we have Y miles/hour TIMES (x-0.333) hours to find her distance she walks; we also have her husband's speed at z miles/hour and his time traveling till he meets her, which is (x-0.333) hours, so husband's distance is z miles/hour TIMES (x-0.333) hours. When adding the husband's distance and Bev's distance, we get a distance from train station to home. But what is that distance? Can I somehow get it from the first equation, if all I know is that those distances equal?
Thank you very much and Merry Christmas to you!
Click here to see answer by ikleyn(52879)  |
Question 1062627: Describe the changes in the graph corresponding to changes in a,b,c,d.
Function: sin ( )
I believe that serves as an amplitude while is the period. ( ) is the horizontal shift and is the vertical shift.
What are the changes in the graph though? Thanks a lot.
Click here to see answer by josmiceli(19441)  |
Question 1062857: sam is driving a distance of 140 miles from his house to visit Melissa. Sam takes city roads , on which can he travel an average of 35 mph for a total of 1.5 hours . Sam also takes the highway , on which he travels an average of 65 mph for a total of x hours . approximately how long does Sam travels on the highway , to the nearest tenth of an hour ?
Click here to see answer by ikleyn(52879)  |
Question 1063083: a plane took off and flew in the same direction for exactly 60 miles. the plane then turned and flew in a nee direction for exactly 63 miles. at that point the plane was 87 miles from where it started. was the turn the plan took 90 degree turn explain? (Pythagorean Therom)
Click here to see answer by josmiceli(19441)  |
Question 1063141: pq is a tuneel. a dog sits at a distance of 5/11 of oq from p. the train's whistle coming from any end of tunnel would make the dog run. if a train approaches p and the dog runs towards p, the train would hit the dog at p. if the dog runs towards the q instead, it would hit the dog at q. find the ratio of speeds of train and dog
Click here to see answer by ikleyn(52879)  |
Question 1063192: A dragon flies 240km to dragon mountain. The dragon's average speed was 120km/hour. The dragon picked up some heavy magical dragon things, so the dragon's average speed for the 240km flight home was 80km/hour. What was the dragon's average sped in km/hour for the entire round trip?
Click here to see answer by rothauserc(4718)  |
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