Questions on Word Problems: Travel and Distance answered by real tutors!

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Question 448811: At the beginning of a walk Roberto and Juanita are 7.7 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet in 1 hour what are their speeds?
Click here to see answer by ikleyn(53424)

Question 446364: Palmer's average running speed is 3 Kilometers per hour faster than his walking speed. If Palmer can run around a 20-Kilometer course in 2 hours, how many hourse would it take her Palmer to walk the same course?
I NEED TO SEE THE WORK ON HOW YOU GOT THE ANSWER!!
Click here to see answer by josgarithmetic(39702)

Question 445225: two cars leave towns at the same time in oppoistite directions one travels 35 mi/h and the other 40 mi/h in how many hours will they be 15 miles apart?
Click here to see answer by ikleyn(53423)

Question 444160: My probelm is this: A truck enters a highway driving 60mph. A car enters the highway at the same place 12 minutes later and drives 67mph in the same direction. How long before the car passes the truck?
I have My Math Lab on coursecompass.com and it kind of explains the solving process but I seem to get lost at the end.
I know that the problem needs to be set up with d(t)=60(t + 10) and d(c)=67t but after that I get lost. Please help.
Click here to see answer by ikleyn(53423)

Question 437577: Flying against a headwind, a plane covers 900 miles in 2 hours. The return trip with a tailwind only takes an hour and a half. Find the speed of the wind, and the speed of the plane within the air mass.
Click here to see answer by josgarithmetic(39702)

Question 437560: Sarah hikes at 4 kilometers per hour from one end of a trail that is 34 km long. Amanda begins 1 hr laater at the other end. Walks toward sarah at 6 k/m. How long will it take for them to pass each other
Click here to see answer by MathTherapy(10587)

Question 435646: a bomber takes off and flies 500kph a fighter setting out 2 1/2 hrs late flies at 750kpm how long will it take for the fighter to overtake the bomber and how far will the bomber have travelled at this time?

Click here to see answer by ikleyn(53423)

Question 434148: John and Brian leave Williston at the same time. John drives north and Brian drives east. John's average speed is 10 miles per hour slower than Brian's. At the end of one hour they are 50 miles apart. Find Brian's average speed.
Click here to see answer by ikleyn(53423)

Question 433975: A long distance runner started on a course running at an average speed of 6 mph. one-half hour later, a second runner began the same course at an average speed of 7mph. How long after the second runner started did the second runner overtake the first runner?
Click here to see answer by MathTherapy(10587)

Question 431703: One plane traveled 800 miles in the same time a second plane traveled 1,000 miles. The rate of the second plane was 50 mi/h faster than the rate of the first plane. How fast did each plane fly?
Click here to see answer by ikleyn(53423)

Question 419040: The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back again in 3 hours.
What is the speed of the boat in still water?
Click here to see answer by timofer(136)

Question 419037: The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles downstream in the same amount of time it takes to travel 1.5 miles upstream, what is the speed of the current?
Click here to see answer by ikleyn(53423)

Question 423288: An airplane flew for 3 hours with a tail wind of 18 kilometers per hour. The return flight against the wind took 4 hours. Find the rate of the plane in still air.
Click here to see answer by josgarithmetic(39702)

Question 426400: It takes a freight train 3 hours more to travel 280 miles than it takes an express train to travel 200 miles. The rate of the express is 10 miles per hour faster the the rate of the freight train. Fine the rates of both trains.
Click here to see answer by josgarithmetic(39702)

Question 429498: two runners start at a certain point simultaneously, going the the same directions, the speed fo one runner is two thirds of the speed of the other runner. if at the end of 3 hours they are 6 miles apart, what is the speed of each runner?
Click here to see answer by ikleyn(53423)

Question 729542: How far does:
A. A cyclist travels in 3 hours at an average speed of 12 km/h.
B. A ship travel in 5 hours at an average seed of 25 km/h.
Click here to see answer by ikleyn(53423)

Question 1165189: A psychiatrist is testing a new antianxiety drug, which seems to have the potentially harmful side effect of lowering the heart rate. For a sample of 50 medical students whose pulse was measured after 6 weeks of taking the drug, the mean heart rate was 70 beats per minute (bpm). If the mean heart rate for the population is 72 bpm with a standard deviation of 12, can the psychiatrist conclude that the new drug lowers heart rate significantly?
Click here to see answer by CPhill(2138)

Question 730204: Two trains start out on a head on collision course, each travelling at 20 km/h on a straight track towards each other, starting from 8km apart.

At the start of the journey there is a bee, which was asleep on the front of the first train but got startled and started flying at 30km/h away from the train along the track. He kept flying until he saw the second train, got scared and then turned around and headed in the opposite direction at the same speed. This was fine until he saw the first train bearing down on him, so he did a quick 180-degree turn and headed the other way, until he came across the second train again (obviously). He naturally turned around and headed the other way. The bee continued going back and forth until the two trains collided and he was ultimately shuffled off this mortal coil.

So: how many kilometers did the ill-fated bee fly?

Click here to see answer by ikleyn(53423)

Question 730254: Your bus takes 15 minutes to get from your home to school. It travels at an average speed of 32 miles per hour.
Your classmate's bus takes 18 minutes to get to school, traveling at an average speed of 25 miles per hour.
How much farther from school do you live? (Please note that speed is in miles per hour, but time is in minutes.)

Click here to see answer by ikleyn(53423)

Question 731947:
Click here to see answer by ikleyn(53423)

Question 731943: A 340 meter long train is accelerating from rest at 6 meter/second square. With the start of motion, a man standing at the front end of the train, projects a ball upwards at a velocity of 50 meters/second. Do calculaions to decide if the ball will fall back on the train or will miss it.
Click here to see answer by KMST(5330)

Question 731940:
Click here to see answer by ikleyn(53423)

Question 731939:
Click here to see answer by ikleyn(53423)

Question 732175: you drive 104 miles along a scenic highway and then take a 34-mile bike ride. your driving rate is 4 times your cycling rate. suppose you have no more than a total of 4 hours for driving and cycling. Let x represent your cycling rate in miles per hour. Use a rational inequality to determine the possible values of x.
Click here to see answer by josgarithmetic(39702)

Question 903490: Two cyclists leave towns 90mi apart at the same time and travel toward each other. One cyclist travels 8 /mih faster than the other. If they meet in 3 hours, what is the rate of each cyclist?
Click here to see answer by greenestamps(13258)

Question 1165645: An automobile accelerates from rest at 1.7 m/s2 for 15.5 s. The speed is then held constant for 23.4 s, after which there is an acceleration of -3.5 m/s2 until the automobile stops. What is the total distance traveled?
Click here to see answer by CPhill(2138)

Question 733415: "Two cyclists travel on a straight path towards each other each travelling at a constant speed of 10mph. The cyclists start of 10 miles apart. If a fly starts at the front of one cyclists and keeps flying backwards and forward until the two cyclists crash, how far will the fly fly give that the fly travels at 1mph?"
I'm not sure where to start... please could you give a brief explanation of how to work it out if possible.
Thanks if you can help
Click here to see answer by MathTherapy(10587)

Question 733604: a boatman goes 96 km in 8 hours with the flow of a river and returns in 12 hours (against the flow). what Will be the respective speed of the boat and the river (in km/hour)?
Click here to see answer by greenestamps(13258)

Question 1166452: A motorboat accelerates uniformly from a velocity of 6.7 m/s to the west to a velocity of 1.4 m/s to the west. If its acceleration was 3.4 m/s^2 to the east,
how far did it travel during the acceleration? Answer in units of m.
Click here to see answer by ikleyn(53423)

Question 1166451: The volleyball player serves the ball from point A with an initial velocity at th angle to the horizontal. If the ball just clear the net C and land on the base line B.
Determine the value of (a)θ, (b) Vo, and determine the time to reach the highest point with reference from the horizontal surface.

https://imgur.com/a/OZg4z8I
Click here to see answer by CPhill(2138)

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