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

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Question 128584: The wrestling team leaves for Fargo traveling north on a slow bus at 57mph at the same time as the baseball team leaves for Texas traveling south at 74mph. How long until they are 400 miles apart?
How do you work it out? What's the formula that's the thing I don't understand with story problems.
Click here to see answer by checkley71(8403)

Question 128639: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet?
Click here to see answer by Earlsdon(6287)

Question 128636: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet?
Click here to see answer by bucky(2189)

Question 128706: Two men start at the same time from the same place and travel along roads that are at right angles to each other. One man travels 4mi/hr faster than the other, and at the end of two hours they are 40mi apart. Determine their rates of travel.
Click here to see answer by checkley71(8403)

Question 128755: A local bus traveling at a rate of 50 kilometers per hour was passed by an express bus traveling at a rate of 75 kilometers per hour. The express bus left the terminal one hour later than the local bus. How far had the buses traveled?
Click here to see answer by checkley71(8403)

Question 128759: distance traveled by a car
you are driving at a constant speed on a freeway. at 4:30pm you drive by a signb that gives the distance to Montgomery, alabama as 84 miles AT 4:59 you drive by another sign that gives the distance to Montgomery as 56 miles.
(a) write a linear equation that gives our distance from montgomery in terms of time t(let t=0 represent 4:30pm and let t be measured in minutes

(b) use the equation in part a to find the time when you reach montgomery

so I know that it took 28 minutes to go 29 miles thats all i know
Click here to see answer by stanbon(57261)

Question 128773: Kobe completed a certain job in 20 hrs. Together, Kobe and Justin completed the same job in 12 hrs. How long would it take Justin to complete by himself?

Click here to see answer by checkley71(8403)

Question 128894: In a triangle, one angle is 2 times as large as another. The measure of the third angle is 140degrees greater than that of the smallest angle. Find the measure of each angle.
Click here to see answer by edjones(7569)

Question 128945: Robert and jones who live 676 miles apart meet 6.5 hours of driving time. If the average spped differs by 4 what are their average speeds.

Click here to see answer by checkley71(8403)

Question 129113: I appreciate your help with this word problem:
A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hour less time. How far apart are the towns?
Thanks!!!
Click here to see answer by stanbon(57261)

Question 129394: My homework problem:
If increase the average speed of a 189 mile trip by 12mph will make the same trip one hour shorter.What is the original average speed?
I think I have 2 equations:
1) vt=189mph
2) v+12mph = 189mph/ (t-1h)
How do I solve for V? I tried substitution of 1) into 2) but got confused in how to solve for v in the next step. Thanks for your help. Jp
Click here to see answer by Fombitz(13828)

Question 129744: Fat Chance can row his boat 9 miles up Moss Creek in the same time that it takes him to row 15 miles down the creek. If fat can row 2 miles per hour in still water, how fast is the current in Moss Creek?
Click here to see answer by ptaylor(2048)

Question 129765: Ken drove his car from home to Chicago at a rate of 40mph and returned at a rate of 45 mph. If his time going exceeded his time returning by 30 mins find his time going and returning?
Click here to see answer by oscargut(891)

Question 129835: Two towns are 243 miles apart. Bob and Joe each start in on of the towns at 12:00 PM and drive towards each other with uniform motion. Bob drives 45mph, joe drives 65 mph. When do they meet (at what time)? WHERE do they meet?
Click here to see answer by solver91311(16872)

Question 129878: Airplane A travels 2800 km at a certain speed. Airplane B travels 2000 km at a speed 50 km/hr faster than plane A and in 3 hours less time. What is the traveling speed of each plane?
Click here to see answer by ptaylor(2048)

Question 129450: A boat can travel at 10 mph in still water. It travels 75 miles downstream with the current in the same time it travels 25 miles upstream. What is the speed of the current?
Click here to see answer by scott8148(6628)

Question 129478: Could you help me set up this problem? Eleanor started out at 60mph at 9am, two hours before Alexi started out to catch her. If she was still 60 miles ahead at 3pm, how fast was Alexi driving.
Click here to see answer by scott8148(6628)

Question 129985:
A bicyclist and a hiker leave the same place at the same time and travel in the same direction. The bicyclist travels three times as fast as the hiker. At the end of 3 hr they are 24 miles apart. How fast does the hiker travel?
Keep messing this one up.....thanks for the help..
Click here to see answer by checkley71(8403)

Question 129996: Jan swims at a speed of 5.8 mph in still water. The river she's in flows at a speed of 3.7 mph. How long will it take Jan to swim 2.2 mi downstream?
Click here to see answer by checkley71(8403)

Question 129984: A person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship..
Having a problem with this one ......thank you..
Click here to see answer by stanbon(57261)

Question 130123: If the distance traveled is 5x^3 - 6x^2+3x+14 miles and the rate is x+1 per hour, what is the time traveled?
Thank you!
Click here to see answer by jim_thompson5910(28510)

Question 130123: If the distance traveled is 5x^3 - 6x^2+3x+14 miles and the rate is x+1 per hour, what is the time traveled?
Thank you!
Click here to see answer by stanbon(57261)

Question 130147: An astronaut on the moon throws a baseball upward. The height h of the ball, in feet, x seconds after the ball is thrown is given by the equation.
h+-2.7x^2+30x+6.5
After how many seconds is the ball 12 feet above the moon's surface?
Click here to see answer by stanbon(57261)

Question 130199: Two cars leave Salt Lake City, traveling in opposite directions. One car travels at a speed of 80km/h and the other at 96km/h. In how many hours will they be 528km apart?
Click here to see answer by solver91311(16872)

Question 130540: Ona canoe trip down the Spoon River, Jim is able to travel 10 miles downstream with the current in 2.5 hours. On the return trip upstream back to where his truck is parked, it takes Jim 3.5 hours How fast is Jim's canoe traveling, and how fast is the current on the river at that day?
Click here to see answer by checkley71(8403)

Question 130553: A steamboat travels 8 km/h faster than a freighter. The steamboat travels 88 km in the same time the freighter travels 53 km. Find the speed of the steamboat.
Click here to see answer by checkley71(8403)

Question 130565: A patrol plane flies 220 miles per hour in still air. It carries fuel for 4 hours of safe flying. If it takes off on patrol against a wind of 20 miles per hour, how far can it fly and return safely?
Click here to see answer by ptaylor(2048)

Question 130558: The rate of the jet stream is 100 miles per hour. Traveling with the jet stream, an airplane can fly 3600 miles in the same amount of time as it takes to fly 2400 miles against the jet stream. What is the airplane's average rate in calm air?
Click here to see answer by checkley71(8403)

Question 130554: A truck can travel 150 miles in the same time that it takes a car to travel 200 miles. If the truck's rate is 10 miles per hour slower than the car's, find the average rate for each.
Click here to see answer by checkley71(8403)

Question 130703: I need help setting this problem up please... The question reads: "Two trains, an express and a commuter , are 150 miles apart. Both start at the same time and travel toward each other. They meet 3 hours later. The speed of the express is 10 miles faster than the commuter. Find the speed of each train." Thanks for you help!!
Click here to see answer by ptaylor(2048)

Question 130733: With a head wind, a plane traveled 1000 mi in 4 h. Withe the same wind as a tail wind, the return trip took 3 h 20 min. Find the plane's air speed and wind speed.
Click here to see answer by solver91311(16872)

Question 130923: A car and a train leave station A at the same time for station B, 300 miles away. If the speed of the car averages twice the speed of the train and the car arrives 7.5 hours before the train, find the speed of the car and the speed of the train in mph.

Click here to see answer by seng0111(2)

Question 130942: A paddle boat can move at a speed of 12 km/h in still water. The boat is paddled 6 km downstream in a river in the same time it takes to go 3 km upstream. What is the speed of the river?
Click here to see answer by checkley71(8403)

Question 131076: i need help with this problem
Robert rented a truck for one day. There was a rental fee of $16.95, and there also was a charge of 17 cents for each mile. Robert paid $63.02 when he returned the truck. For how many miles did he drive the truck?

Click here to see answer by checkley71(8403)

Question 131078: please help me solve this problem
Ron will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $59.96 for two days plus 15 cents per mile. The second plan costs $55.96 for two days plus 19 cents per mile. How many miles does Ron need to drive for the two plans to cost the same?

Click here to see answer by checkley71(8403)

Question 131082: please help solve this problem
The length of a rectangle is twice its width. If the area of the rectangle is 162m2 , find its perimeter.

Click here to see answer by checkley71(8403)

Question 131083: I need help with this problem
The perimeter of a rectangular garden is 298 feet. If the width of the garden is 66 feet, what is its length?

Click here to see answer by fners(16)

Question 131074: I need help with this problem
A local hamburger shop sold 639 hamburgers and cheeseburgers on Tuesday. They sold 61 fewer cheeseburgers than hamburgers. How many hamburgers did they sell?

Click here to see answer by fners(16)

Question 130883: During the first part of a trip, a canoeist travels 75 miles at a certain speed. The canoeist travels 24 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip?
The speed on the first part of the trip was ____ mph.
The speed on the second part of the trip was ____ mph.

Click here to see answer by ptaylor(2048)

Question 131228: a motorcycle breaks down and the rider has a to walk the rest of the way to work. the motorcycle was traveling at 45mi/h. the distance from home to work is 25 miles, and the total time for the trip was 2 hours. how far did the mototcycle go before it broke down?
I got this far
moto/45/t
walk/6/t
Click here to see answer by stanbon(57261)

Question 131349: In a 6-mile run, Cindy finished 15 minutes ahead of Bill. Cindys speed was 2 miles per hour faster than Bills speed. What was Bills speed?
Click here to see answer by checkley71(8403)

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