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

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Question 230635: Two families meet at a park for a picnic. At the end of the day, one family travels east at an average speed of 42 miles per hour, and the other family travels west at an average speed of 50 miles per hour. Both families have approximately 160 miles to travel.
(a) Find the time it takes each family to get home.
(b) Find the time that will have elapsed when they are 100 miles apart.
(c) Find the distance the eastbound family has to travel after the westbound family has arrived home.
Click here to see answer by ankor@dixie-net.com(15624)

Question 231035: A student normally needs 15 seconds for a 100 m sprint
One day favorable wind conditions help her to increase her speed by 2 km/h
What is her time now?
Click here to see answer by edjones(7569)

Question 231005: Please show me the eqution set up for this problem. I know it is d=rt but I don't know how to write it out. On one web site I read it said I could not add the rates. Now im really confused been looking for hours for help. Tried to figure it like this
300+150=1000
450x=1000
divide both sides by 450
x=2.22
but when i try to check my problem 450(2.22)=999 not 1000?
Please help!
The problem: Two planes leave the same airport at the same time, flying in opposite directions. The rate of the faster plane is 300 miles per hour. The rate of the slower plane is 150 miles per hour. After how many hours will the planes be 1000 miles apart?
Click here to see answer by edjones(7569)

Question 231029: A person is traveling to Chicago. She is going 40 mph on the way to Chicago and 80 mph on the way back. What is the average traveling time.
Click here to see answer by Alan3354(30959)

Question 231171: Two trains travel on tracks that run parallel to each other. Their starting points are 3740 miles apart. The first train, the Silver Streak, travels from northwest to southeast at 90 mph. The second train, the Red Blaze, travels from southeast to northwest at 80 mph. They start their journeys at the same time-midnight EST-and move toward each other. Assume that they travel at steady speeds without stops and without interruption. At what time will the trains meet? How far will the Silver Streak have traveled when they meet? How far will the Red Blaze have traveled when they meet?
Click here to see answer by rfer(12644)

Question 231123: how long does it take to drive 271.0 miles
Click here to see answer by checkley77(12569)

Question 231243: Jill is 11 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks 2.5 km/h.They meet in 2 hours. How fast is Joe walking?
Click here to see answer by bamaboy(14)

Question 231255: If two trucks leave a warehouse at the same time. One travels south at 61 miles per hour. The other travels north at 45 miles per hour how many hours will the trucks be at 795 miles apart?
Click here to see answer by rfer(12644)

Question 231242: a plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?
Click here to see answer by checkley77(12569)

Question 231237: Word Problem Five - On a 570 mile trip, Andy averaged 5 mph faster for the last
240 miles than he did for the first 330 miles. The entire trip took 10 hours.
How fast did he travel for the first 330 miles? (Show a complete algebraic
solution for the problem and check the answer.
I drew a picture first.. then i thought that the mph for the first 330 miles is x? and for the second 240 miles was x+5? Im so confused on how to calculate the 10 hours part in...:(

Click here to see answer by checkley77(12569)

Question 231435: calculate the average speed if a car travels 208 km in 3 hours and 9 minutes
Click here to see answer by Alan3354(30959)

Question 231453: Amy drove the 200 miles to New Orleans at an average speed 10 miles per hour faster than her usual average speed. If she completed the trip in 1 hour less than usual, what is her usual driving speed in miles per hour.
I know the answer is 40 miles per hour, but how did they come up with this? I think there is numbers missing in this problem.
Thank you,
Katie
Click here to see answer by Theo(3458)

Question 231508: If a truck is traveling 88 mph and you are standing in the back of it and trow a baseball the opposite way of vehicle travel at 88 mph, how fast is the baseball traveling if you were using radar at a fixed point on the ground?
Click here to see answer by Alan3354(30959)

Question 231106: " The car travel toward each other from points 500 kilometers apart. The two cars meet in 4 hours. What is the average speed of each car if one travels 15 kilometers per hour faster than the other? "
Click here to see answer by ankor@dixie-net.com(15624)

Question 231550: a car is traveling at a rate of 60ft/sec.What is the miles per hour?
Click here to see answer by solver91311(16868)

Question 231562: a car can drive 100 miles in 1.5 hours how long will it take the car to drive 150 miles at the same rate.

Click here to see answer by rfer(12644)

Question 231608: two trains that are 495 mi apart travel towards each other. They pass each other 5 hrs later. If one trains is traveling half as fast as the other, what are their speed?
5x+5y=495
x=1/2-y
5(1/2-y)+5y=495
then lost
Thanks
Erika
Click here to see answer by rfer(12644)

Question 231680: a bicyle takes 1.5 hours to travel 22.5 km . What was the average speed
Click here to see answer by solver91311(16868)

Question 231661: Superman slams head-on into a locomotive speeding along at 62 km/h, bringing it smoothly to rest in an amazing 1/1000 s and saving Lois Lane, who was a mere 11 cm down the tracks from the point where Superman struck the train. How far away from her did the "Man of Steel" finally stop the engine? (Thank goodness he arrived in time!)
I'm lost...please help! THANKS.
Click here to see answer by Alan3354(30959)

Question 231822: there are two bikers. biker one starts to travel at six miles per hour. three hours later biker two travels at ten miles per hour. how long does it take for biker two to catch up to biker one? Explain
Click here to see answer by rfer(12644)

Question 231857: An airplane travels 400 miles against the wind in 5 hours, and makes the return trip with the same wind in 2hours. Find the speed of the wind.
Click here to see answer by stanbon(57219)

Question 231951: A Delta 727 traveled 560 mph with the wind and 480 mph against the wind. Find the speed of the plane in still air and the speed of the wind. PLEASE HELP!
Click here to see answer by Alan3354(30959)

Question 231990: A car and a truck leave the same place at the same time. the car is traveling twice as fast as the truck. In three hours time, the car is ahead of the truck by 72 miles. at what rate of speed is each vehicle driving?
Click here to see answer by drj(1380)

Question 232020: A train running at 25 mi/h increases its speed 11%. How fast does it then go
Click here to see answer by Robb(9)

Question 232020: A train running at 25 mi/h increases its speed 11%. How fast does it then go
Click here to see answer by rfer(12644)

Question 231976: Bob drives 200 miles to attend a football game. His speed on the return trip was an average of 10mph less than his speed to the game. If the return trip took 1 hour longer, how fast did he drive in both directions?
I come up with 200/(x-10) - 200/x = 1... I don't even know if this is right with the D=RT formula ???
Click here to see answer by ankor@dixie-net.com(15624)

Question 231660: please help me with this problem: It has no variable so im confuzzled.
How far does a car travel while dropping in speed from 20.0 m/s to 15.0 m/s in 3.5 s?

Click here to see answer by ankor@dixie-net.com(15624)

Question 245: Two planes leave O'Hare Airport in Chicago at the same time. One flies directly east at 540 mph. The other flies directly west at 720 mph. How long will it take them to be 1890 miles apart?
Click here to see answer by mooney(1)

Question 231859: If a car travels at 70mph and then 50mph for a total of 320miles in 5 hours, how many hours did it travel at each speed?
Click here to see answer by ankor@dixie-net.com(15624)

Question 232072: what is the setup for this distance problem:
At 10 am a plane leaves Boston MA, for Seattle, WA, a distance of 3000 miles. One hour later a plane leaves Seattle for Boston. Both planes are traveling at a speed of 500 mph. How many hours after the plane leaves Seattle will the planes pass each other?
Click here to see answer by Alan3354(30959)

Question 232162: suppose you hike up a hill at 4 km/h. You hike back down at 6 km/h. Your hiking trip took 3 hours. How much time did it take you to hike up the hill?
Click here to see answer by checkley77(12569)

Question 232236: if juanita ranned 50 meters in 8 seconds what is her average
Click here to see answer by solver91311(16868)

Question 232372: Joe and Janna leave home at the same time, traveling in opposite directions. Joe drives 45 miles per hour and Janna drives 40 miles per hour. In how many hours will they be 510 miles apart?
Click here to see answer by ptaylor(2048)

Question 232346: Juan traavels 22mi/hr to work and 32mi/hr back home. It takes him a total of 2 hrs and 15 minutes for the total drive. I need to find an equation on how much time it takes Juan to go to work and come back home. I also need an equation for both. Thank you
Click here to see answer by ptaylor(2048)

Question 232383: The reaction time of a car is 1 second
At a speed of 96 km/h the driver suddenly notices a red traffic light.
What distance does the car cover untill the driver starts braking?
Thank you very much
Click here to see answer by rapaljer(4667)

Question 232410: Three motorists A, B and C often travel on a certain highway, and each motorist always travels at a constant speed. A is the fastest of the three and C the slowest.
One day, when the three travel in the same direction, B overtakes C, five minutes later, A overtakes C and in another 3 minutes, A overtakes B. On another occasion when they again travel in the same direction, A overtakes B first, then, nine minutes later, A overtakes C. When will B overtake C?
Click here to see answer by josmiceli(9649)

Question 232577: Two planes are 6,000 miles apart, and their speeds differ by 200 mph. They travel towards each other and meet in 5 hours. Find the speed of the slower plane?
It's due tomorrow ! :c help plz! thank you!
Click here to see answer by nerdybill(6948)

Question 232527: 2 boys heading toward each other that are 20 miles apart going 10 miles per hour. when will they meet?

Click here to see answer by rfer(12644)

Question 232633: The moving sidewalk moves 1.8ft/sec. Walking on the moving sidewalk, Roslyn travels 105ft forward in the same time it takes to travel 51ft in the opposite direction. How fas does Roslyn walk on a nonmoving sidewalk?

Click here to see answer by stanbon(57219)

Question 232482: Two airplanes begin 1000 miles apart and fly along lines that intersect at a right angle. One plane flies an average of 100 MPH faster than the other. If the planes meet after 2 hours, how fast do the airplanes fly?
Click here to see answer by ankor@dixie-net.com(15624)

Question 232505: 2 cars leave intersection, one travel east; other north. When the car traveling east had gone 15 miles the diatance between the cars was 5 miles more than the distance traveled by the car heading north, how far had the north bound car traveled.
Click here to see answer by ankor@dixie-net.com(15624)

Question 232736: A bus service runs between two cities. Going one way, the average speed of the bus is 66 mph, and going the other way, it is 3 mph slower, so the ride takes 20 minutes longer. What is the distance between the two cities?
I have come up with this but I am not positive if its right:
Distance 66(x)and 63(x+20)
Rate 66 and 63
Time is x and x+20?
Click here to see answer by rfer(12644)

Question 232827: Thank you in advance for your help
On a road trip from Boston to Miami, Nancy stopped in Baltimore which is 390 miles from Boston. If Baltimore is .26 of the trip to Miami, how far is it from Boston to Miami?

Click here to see answer by mando271(42)

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