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

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Question 249345: Please help me solve this problem: A search plane has a cruising speed of 250 miles per hour and carries enough fuel for at most 5 hours of flying. If there is a wind that averages 30 miles per hour and the direction of search is with the wind one way and agianst it the other, how far can the search plane travel?
Click here to see answer by dabanfield(803)

Question 249361: The height of an object thrown in the air is given by h = -1.6t2 + 8t + 2, where h is in feet and t is the time in seconds the object has been in motion. At what time (to the nearest tenth) is the object 10 feet in the air?
Click here to see answer by richwmiller(9135)

Question 249385: Two cyclists start from the same place at the same time. They travel in opposite directions. One averages 10 mph and the other 12 mph. After how long will they be 66 miles apart.
I know the answer is three hours due to drawing a picture... but I'd like to know how to use an equation. Thank you.
Click here to see answer by richwmiller(9135)

Question 249358: a driver averaged 52 miles per hour and took 9 hours to travel between two cities. What is the distance between the two cities?
Click here to see answer by checkley77(12569)

Question 249387: Trains A and B are traveling int he same direction on parallel tracks. Train A is traveling at 80 mph and train B is traveling at 90 mph. Train A passes a station at 2:20 a.m. If train B passes the same station at 2:50 a.m., at what time will train B catch up to train A?
Click here to see answer by checkley77(12569)

Question 249429: A man drives from home to work at a speed of 50mi/h. The return trip from work to home is traveled at the more leisurely pace of 30 mi/h. What is the man's average speed for the round trip?
(I know the answer is not 40mi/h though)
Click here to see answer by oberobic(2304)

Question 249444: Mrs. Smith drove at a rate of 45 mph from her home to her sisters house. she spent 1.5 hrs having lunch with her sister. She then drove back home at a rate of 55 mph. The entire trip, including lunch, took 4 hrs. How far does Mrs. Smith live from her sister?

Click here to see answer by oberobic(2304)

Question 249435: Two runners start running laps at the same time, from the same starting position. George runs a lap in 50s;Sally runs a lap in 30s. When will the runners next be side by side?
Click here to see answer by checkley77(12569)

Question 249416: HELP!!! the velocity v of a projectile is a linear function of the time t that it is in the air. a ball is thrown downward from the top of a building. its velocity is 42 feet per second and 74 feet per second after 2 seconds. write v as a linear fraction of t, what is the initial velocity of the projectile an what is the velocity what t=3.5 seconds?
Click here to see answer by Alan3354(30958)

Question 249420: A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstreams on the opposite bank, he first rows his boat to point P on the opposite bank and then walks the remaining distance x to B. He can row at a speed of 2 mi/h and walk at the speed of 5 mi/h. Where should he land so that he reaches B as soon as possible?
Click here to see answer by ankor@dixie-net.com(15623)

Question 249530: the speed of train A is 12 mph slower than the speed of train B. Train A travles 220 miles in the same time it takes train B to travel 280 miles. Find the speed of each train.
Click here to see answer by stanbon(57219)

Question 249621: Noah and Ben are running in the Walker Street Fun Run. Noah runs at 7
mph, Ben at 5 mph. If they start at the same time, how long (in minutes)
will it be before they are 1/3 miles apart?
Click here to see answer by Alan3354(30958)

Question 249601: Two buses leave Dallas at the same time and travel in opposite directions. One bus averages 58 mph, and the other bus averages 52 mph. When will they be 363 miles apart?
Don't you need the time they left to figure out the answer?
Click here to see answer by Alan3354(30958)

Question 249628: A 2-qt bottle of soda sells for $1.29. What should be the price of a 2L bottle of the same soda to yield the same value?
Click here to see answer by Edwin McCravy(8879)

Question 249625: A car travels at 40km/hr for 30 min. and 60 km/hr for 15 min. How far does it travel in this time?
Click here to see answer by checkley77(12569)

Question 249687: How long would it take me to travel between the Earth and the Moon if I were traveling at 55 miles per hour (typical highway speed)?
Click here to see answer by richwmiller(9135)

Question 249302: A carpenter and his partner can put up a patio cover in 3 3/7 hours. If the partner needs 8 hours to complete the patio alone, how long would it take the carpenter working alone?
Click here to see answer by ankor@dixie-net.com(15623)

Question 249746: A boat leaves its dock and travels for 5 miles in the direction perpendicular to the shore, then
makes a 48o turn and travels another 3 miles. How far is the boat from the dock?
Click here to see answer by ankor@dixie-net.com(15623)

Question 249846: During the first part of a canoe trip, Tim covered 60 km at a certain speed. He then traveled 24 km at a speed that was 4 km/h slower. If the total time for the trip was 8 hr, what was the speed on each part of the trip?
Click here to see answer by stanbon(57219)

Question 249865: Two teams of scientists leave a university at the same time.The first team travels east at 25 mph and the the second teams travels west at 30 mph Their radios have a radio have a range of 110 miles. How much time will pass before the scientists lose radio contact?
Click here to see answer by rfer(12644)

Question 249884: How far will a car traveling 90.0 Km/hr go in a time of 75.0 minutes?
Click here to see answer by rfer(12644)

Question 249884: How far will a car traveling 90.0 Km/hr go in a time of 75.0 minutes?
Click here to see answer by edjones(7569)

Question 249888: A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less time. Find the speed going
Click here to see answer by ankor@dixie-net.com(15623)

Question 249957: A boat can travel 9mph in still water. It travels 7 miles downstream in the same time that it travels only 3 miles upstream. Find the rate of the current.
Click here to see answer by oberobic(2304)

Question 250094: How far will a car traveling 35 MPH travel before stopping?
Click here to see answer by Edwin McCravy(8879)

Question 250245: If a car travels 75 kilometers per hour, then how far would it go in 20 minutes?
PS. I need the answer by Wednsday December 16 2009!!!!!!!!!!!!!
Click here to see answer by stanbon(57219)

Question 250209: How far can a plane travel if it flies at a rate of 190 miles per hour for 5 hours?
Click here to see answer by checkley77(12569)

Question 250181: An ultra light aircraft flies to a nearby town that is 20 miles away in 2/5 hour with a tail wind. It can fly back home again when fighting a head wind in 1/2 hour. Find the air speed of the ultra light aircraft and the wind speed.
Click here to see answer by checkley77(12569)

Question 249891: Tom traveled 240 miles east. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 20 mph due to an accident. If the total time of travel was 8 hours, how many miles was he at the reduced speed?
Click here to see answer by ankor@dixie-net.com(15623)

Question 250358: There are sparrows and pigeons on a fence. When five sparrows leave, there remain two pigeons for every sparrow. Then twenty-five pigeons leave, and there are now three sparrows for every pigeon. Find the original number of sparrows.
Click here to see answer by richwmiller(9135)

Question 250355: An Amtrak train leaves Penn Station, NYC, traveling south at 60mph. Three hours later, a Metroliner leaves the same station traveling south at 80mph. How long will it take the Metroliner to catch up to the Amtrak train.
Click here to see answer by checkley77(12569)

Question 250394: A plane makes the trip from Acton to Banville at 800km/h. The return, at 1000 km/h takes 1/2 h less than the initial flight. Find the distance between the towns.
Click here to see answer by richwmiller(9135)

Question 250351: Two cars leave Newark at the same time traveling in opposite directions. After 3 hours, the two cars are 330 miles apart. If one car average 60mph, what is the distance traveled by each car?
Click here to see answer by checkley77(12569)

Question 250338: John flies from georgia to california. it takes him 5.6 hours to travel 2100 miles against the head wind. at thesame time debby flies form california to georgia. her plane travels with the same average airspeed but her flight only take 4.8 hours. find the windspeed and write a system and solve to find airspeed
Click here to see answer by checkley77(12569)

Question 250414: how far can a plane travel if it flies 800km/hr for a hour
Click here to see answer by edjones(7569)

Question 250435: A plane travels east at 210mph. Thirty minutes later, a second plane leaves the same airport traveling west at 160mph. Write and solve an equation to determine when the planes will be 660 miles apart.
Click here to see answer by rfer(12644)

Question 250540: Shannon and Suzanne average 68 miles per hour on a 390 mile automobile drive. They start driving at 8:40 am. Rounded to the nearest minute, when do they complete their drive?
A.2:14 pm B.2:24 pm C.2:40 pm D.2:41 pm E.3:14 pm

Click here to see answer by richwmiller(9135)

Question 250493: Lois rides her bike to visit a friend. She travels at 10 mi/h. While she's there, it starts to rain. her friend drives her home in a car traveling 25 mi/h. It takes Lois 1.5 h longer to go to her friend's house than int does to return home. How many hours did it take to ride to her friend's house?
Click here to see answer by richwmiller(9135)

Question 250523: A driver who drive at a speed of r mph for T hr will travel a distance d mi given by D=RT mi. How far will a driver travel at a speed of 56 mph for 5 hr?
I am kind of lost
D=56x5???
Click here to see answer by richwmiller(9135)

Question 250621: An airplane travels 2050 miles in the same time that a car travels 260 miles. If the rate of the plane is 358 miles per hour faster than the rate of the car, find the rate of each?
Click here to see answer by Fombitz(13828)

Question 250641: a family is planning a 100 mile trip.if they travel at an average of 50 mph, what would be their travel time?
Click here to see answer by Fombitz(13828)

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