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

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Question 350028: The speed of the freight train is 23 mph slower than that of a passenger train. The freight train travels 250 miles in the same time it takes the passenger train to travel 450 miles. Find the speed of the passenger train.
Click here to see answer by mananth(12270)

Question 350071: A train leaves Perryville at 6:00 AM and travels east at a rate of 64 mph. As it reaches its destination, Granite City, a westbound train departs from Granite City for Perryville, traveling at a rate of 48 mph. How far is it from Perryville to Granite City by train if the westbound train gets to Perryville at 9:30 AM?
I tried making a chart and I know that one has to complete its trip before the other begins thus making two entire trips. Train 1 travels at 64 mph and Train 2 travels at 48 mph and they both complete the distance in 210 minutes. Distance=Rate*Time so the problem is essentially two problems with their answers added together (correct?) but the issue is what to use in the time box of my chart. Distance is blank and is RT with RT containing a variable. How do I find out what goes in the time box? how do I find the distance traveled by both trains and the time it took each train to complete the trip?
Thanks so much!!! :)
Click here to see answer by mananth(12270)

Question 350117: if a ball is moving at 70 mph, how long does it take to go 43 ft?
Click here to see answer by mananth(12270)

Question 350114: solve (a plane flys 2400 miles one way and takes 4 hours, then fly's back the same way and takes an hour and a half longer. what is the speed of the plane in still air and what is the wind speed?
Click here to see answer by mananth(12270)

Question 350150: a train goes 60 mph how fast will it travel in 20 minutes
Click here to see answer by Fombitz(13828)

Question 350150: a train goes 60 mph how fast will it travel in 20 minutes
Click here to see answer by CharlesG2(828)

Question 350212: A car travels at 60 mph east for 20 min then at 30 mph east for 30 minutes. What is the average speed and average velocity?
Click here to see answer by Fombitz(13828)

Question 350179: a car traveling at 3.0 m/s has a constant acceleration of 4.0 m/s^2 after 2.0 seconds, the velocity is?
Click here to see answer by Fombitz(13828)

Question 350221: A car travels at 60 mph east for 20 min then at 30 mph west for 30 minutes. What is the average speed and average velocity?
Average speed I got, 42 mph. Not sure about average velocity.
Click here to see answer by solver91311(16897)

Question 350197: The automobile traveled 45 mph and at 30 minutes. Whats the distance it traveled

Click here to see answer by jim_thompson5910(28598)

Question 350229: A train travels 360 miles in 3 hours What is the Unit rate?
Click here to see answer by jim_thompson5910(28598)

Question 350289: Sam is going to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
Click here to see answer by Alan3354(30993)

Question 350283: Kesha drove from Buffalo to Syracuse at an average rate of 48 miles per hour. On the return trip along the same road she was able to travel at an average rate of 60 miles per hour. The trip from Buffalo to Syracuse took one-half hour longer than the return trip. How long did the return trip take?
Click here to see answer by stanbon(57387)

Question 350271: two planes leave an airport at the same time. one flies west at 600 mph and the other flies south at 800 mph. how far apart will they be in one hour?
Click here to see answer by checkley77(12569)

Question 350234: an airplane travels 400 miles against the wind in 4 hours, and makes the return trip in 2 hours. What is the rate of the wind
Click here to see answer by checkley77(12569)

Question 350457: A car travels 50 m at a rate of 10m/s,S. It then travels 200m at a rate of 20m/s, N. What is its average speed? Its average velocity??
Click here to see answer by mananth(12270)

Question 350469: how long would it take you to walk 10km if your time was 6.6 seconds in 12 meters?
Click here to see answer by mananth(12270)

Question 350435: Emily leaves home at 2:00 traveling 30 miles per hour. Sarah leaves 20 mins. later traveling at 36 miles per hour. At what time will they meet up.
I think it has something to do with t=r/d but the question does not give distance. I also tried at table 30t+36(t+20)= ____ but I don't know what to put in the blank. Please help me. Thank you for you time.
Click here to see answer by scott8148(6628)

Question 350497: First off, thanks for volunteering your time and expertise to help students; you are so valuable to us!
Two brothers , Bob and Charlie , live 450 miles apart. Starting at the same time they plan to drive until they meet. Bob averages 10 mph faster than Charlie who averages 50 mph. How long will it take them to meet?
Let t = time (in hours)
60(t) + 50(t) = 450
t = 4.09 hours
I have a very bad history with converting a word problem into a math problem, so I am not too confident in my solution.
Click here to see answer by stanbon(57387)

Question 350551: A car traveling at 10 m/s accelerates at 1.5 m/s^2 for 20 s. How far does it go? What speed is obtained?
Click here to see answer by Alan3354(30993)

Question 350550: A car takes off from rest and covers 25 m while accelerating at 2.0 m/s^2. How long does it take? What speed is obtained?
Click here to see answer by Alan3354(30993)

Question 350549: A car traveling at 40 m/s decelerates at 4.0 m/s^2 and comes to rest. How long does it take? How far does it go?
Click here to see answer by Alan3354(30993)

Question 350516: How long does it take an automobile traveling 63.5 km/h to become even with a car
that is traveling in another lane at 46.5 km/h if the cars’ front bumpers are initially 115 m
apart?
Answer in units of s.
Click here to see answer by Alan3354(30993)

Question 350555: As a coin on a turntable spins in a circle with speed 8.0 m/s it experiences a centripetal acceleration of 2.0 m/s^2. What is the radius and period?
Click here to see answer by mananth(12270)

Question 350611: Mike drives to a friend's house at 40 mi/h. He drives home the same route at 45 mi/h. The total trip took 4 hours. What is the total distance mike drives?
Click here to see answer by ewatrrr(10682)

Question 350638: Airplane A travels 2800 km at a certain speed. Plane B travels 2000 km at a speed 50 km/hr faster than Plane A in 3 hrs less time. Find the speed of each plane
Click here to see answer by Fombitz(13828)

Question 350657: a cyclist travels 32 kilometers during the first two hours of riding and 13 kilometers during the next hour. What was his average?
Click here to see answer by nerdybill(6962)

Question 350545: A car travels at 60 mph east for 20 min then at 30 mph north for 30 min. What is the average speed and average velocity?
Click here to see answer by Fombitz(13828)

Question 350519: A man commutes to work a distance 35 miles and returns on the same route at the end of the day. His average rate on the return trip is 20 miles per hour faster than his average rate on the outgoing trip. write the total time, T, in hours, devoted to his out going and return trips as a function of his rate on the outgoing trip, x. Then find an interpret T(25)
Click here to see answer by ankor@dixie-net.com(15660)

Question 350553: While following a circular path of radius 8.0 m a truck requires a centripetal acceleration of 2.0 m/s^2. What is the period and speed?
Click here to see answer by nyc_function(2733)

Question 350547: A car traveling at 10 m/s hits the accelerator and speeds up uniformly to 20 m/s in 2.0 s. How far does it go? What is the acceleration?
Click here to see answer by nyc_function(2733)

Question 350546: A car traveling at 20 m/s applies the brakes and uniformly comes to rest after covering 50 m. How long does it take? What is the acceleration?
Click here to see answer by nyc_function(2733)

Question 350769: The speed of a stream is 4mph. A boat travels 8 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat in the water?
Click here to see answer by mananth(12270)

Question 350768: There are two vehicles leaving for the same destination. One vehicle is 1.5 miles away and is traveling at 30mph. The other is 2.5 miles away and is traveling at 40mph. Which arrives first and by how much time?
D=RxT.
Click here to see answer by Alan3354(30993)

Question 350832: I drove 5.4 km in 10 min doing 65km/h. How fast would I have to drive to cover that distance in 5min?
Click here to see answer by Alan3354(30993)

Question 350854: Dear sir,
Please help me with the following questions. I have solved one of them for which i wanted to know whether the logic used is correct or not. Is there any other way of solving it.
hope u will send the solutions at the earliest. Thank you.
1. An earthworm of length 15cm is crawling along at 2cm/s. An ant overtakes the worm in 5 seconds. How fast is the ant walking?
Ans. The speed of the ant is 15/5 =3 cm/s.
The earthworm is moving at the speed of 2 cm/s. Therefore, the speed of the ant will be 3 plus 2 = 5cm/s.
2. A car completes a journey at an average speed of 40km/h. At what speed must it travel on the return journey if the average speed for the complete journey (out and back) is 60km/hr?

Click here to see answer by Alan3354(30993)

Question 283798: Mrs. Alan travels from home to work at 60 km per Hour (Km/h).
She returns along the same route. Her Average speed for the round trip is 72 km/h, What is her speed from work to homes, in km/h?
Click here to see answer by songtao(1)

Question 350851: Two seconds after firing a rifle at a target, the shooter hears the impact of the bullet. Sound travels at 1100 feet per second and the bullet at 1865 feet per second. Determine the distance to the target.
How do you set up that equation?
Click here to see answer by Theo(3464)

Question 350957: A marketing company had a profit of $5625.14 in January, a loss of
$4250.35 in February, and a profit of $1475.55 in March. What was the
company profit during the 3 month period?

Click here to see answer by stanbon(57387)

Question 350961: A train traveled 80 miles from city A to city B and returned the same distance in a total time of 6 hours. If the train traveled 20 mph slower on the return trip, how fast did the train travel in each direction?
Click here to see answer by stanbon(57387)

Question 351013: A motorboat at full throttle takes two hours
longer to travel 75 miles against the current than it takes to
travel the same distance with the current. If the rate of the
current is 5 mph, then what is the speed of the boat at full
throttle in still water?
I have been working on this problem and I can't figure it out. I have to provide detailed soultions step by step
Click here to see answer by scott8148(6628)

Question 351068: Nevermind...
Click here to see answer by jjordan95(63)

Question 351103: A tourist bus travels 120 kilometers to its destination. The average speed returning is twice the average speed going and the time for a round trip is 5 hours. What is the average speed of the bus in going to its destination?
Click here to see answer by ewatrrr(10682)

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