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

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Tutors Answer Your Questions about Travel Word Problems (FREE)


Question 282421: 2 cars A and B seperated by 400 Km started moving at 8a.m. towards each other with Va=100Km/h and Va=50 Km/h. At what time will the distance between them become 100 Km?
Click here to see answer by dabanfield(803) About Me 

Question 282702: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 50 mph. Train A passes a station at 9:10 AM. If train B passes the same station at 9:22 am, at what time will train B catch up to Train A?
Click here to see answer by mananth(12270) About Me 

Question 282750: Good day. I'd be really thankful if anyone will be able to help me with this conundrum of mine. It is as follows:
A boy starts walking to school at 7:30 a.m. at the rate of 3 miles per hour. At 7:40 a.m., his brother starts for school on his bicycle at 6 miles per hour. When will the boy on the bicycle overtake his brother?
Thank you very much for the help!

Click here to see answer by Mathematicians(84) About Me 
Question 282750: Good day. I'd be really thankful if anyone will be able to help me with this conundrum of mine. It is as follows:
A boy starts walking to school at 7:30 a.m. at the rate of 3 miles per hour. At 7:40 a.m., his brother starts for school on his bicycle at 6 miles per hour. When will the boy on the bicycle overtake his brother?
Thank you very much for the help!

Click here to see answer by Theo(3464) About Me 

Question 282771: At an average rate of 55 km h how long will it take to drive225 km to the nearest tenth of an hour?
Click here to see answer by Alan3354(30993) About Me 

Question 282902: My professor says there is "an unacceptable answer" and I needed more detail on line 7 of the equation. I am lost. Please help. Here's the original question:
Frank drove 300 miles to the beach for vacation. On the way home, he averaged 10 miles per hour less, and the drive took him one hour longer. What was his total driving time?
D=rt
r= time on the way to the beach
r-10= time returning
t=time on the way to the beach
t+1=return time
r*t=300
(r-10)*(t+1)=300 "You need more detail here."
r=60
t=5
return= 5+1
11 hours total driving time

Click here to see answer by jim_thompson5910(28595) About Me 
Question 282902: My professor says there is "an unacceptable answer" and I needed more detail on line 7 of the equation. I am lost. Please help. Here's the original question:
Frank drove 300 miles to the beach for vacation. On the way home, he averaged 10 miles per hour less, and the drive took him one hour longer. What was his total driving time?
D=rt
r= time on the way to the beach
r-10= time returning
t=time on the way to the beach
t+1=return time
r*t=300
(r-10)*(t+1)=300 "You need more detail here."
r=60
t=5
return= 5+1
11 hours total driving time

Click here to see answer by Alan3354(30993) About Me 
Question 282902: My professor says there is "an unacceptable answer" and I needed more detail on line 7 of the equation. I am lost. Please help. Here's the original question:
Frank drove 300 miles to the beach for vacation. On the way home, he averaged 10 miles per hour less, and the drive took him one hour longer. What was his total driving time?
D=rt
r= time on the way to the beach
r-10= time returning
t=time on the way to the beach
t+1=return time
r*t=300
(r-10)*(t+1)=300 "You need more detail here."
r=60
t=5
return= 5+1
11 hours total driving time

Click here to see answer by richwmiller(9135) About Me 

Question 282952: a man bicycles 5 mph faster than he walks. He bicycles 24 miles and then hikes back along the same route in 11 hours. How fast does he walk?
Click here to see answer by rfer(12660) About Me 
Question 282952: a man bicycles 5 mph faster than he walks. He bicycles 24 miles and then hikes back along the same route in 11 hours. How fast does he walk?
Click here to see answer by MathTherapy(1424) About Me 

Question 283070: If a train travels at 120 mph for 2 hours and my journey takes 2 hours and 45 minutes, how far does it go?
Click here to see answer by richwmiller(9135) About Me 

Question 283128: Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?
Click here to see answer by richwmiller(9135) About Me 

Question 283147: Trying to complete a Wind Speed word problem.
I know I need to use the distance formula D=rt but am not sure what to plug in where. The question is: An executive flew to a meeting in a city 1500k away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300k to go. The air speed of the plane is 600k per hour. How fast was the wind blowing? (Assume the wind direction was parallel to the fligh path and constant all day.)

Click here to see answer by richwmiller(9135) About Me 

Question 283264: Two cars leave the rest stop at the same time and proceed to travel down the highway in the same direction. One travels at the average rate of 59 mph and the other travels at an average rate of 61 mph. How far apart are the two cars after 4 hours?
Click here to see answer by rfer(12660) About Me 

Question 283290: hi, my question is following
A toy rocket is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec. Using the function V(x)=-16t^2+vt+h, answer the following.
1. Give the function that describes the height of the rocket in terms of t?
2. Determine the time at which the rocket reaches its maximum height, and its maximum height in feet?
3. For what time interval will the rocket be more than 300 ft above the ground level?
4. After how many seconds will it hit the ground?

Click here to see answer by richwmiller(9135) About Me 

Question 283318: I am having problems figuring this problem out,
Juniors boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
can you please help me, and explain the steps. thank you.

Click here to see answer by richwmiller(9135) About Me 

Question 283319: A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?


Do I times 180 mph with 7 miles, and the same with the 5 miles?
Please help. I appreciate it.

Click here to see answer by richwmiller(9135) About Me 

Question 283355: A dirt biker must circle a 5-mile track twice. His mean speed must be 60 mph. On his first lap, he averaged 30 mph. How fast must he travel on his second lap in order to qualify?
a)30 m.p.h. b) 60 m.p.h. c) 90 m.p.h. d) 120 m.p.h. e) none of these


Click here to see answer by Theo(3464) About Me 

Question 283413: The velocity of the Rio GRand River is 3mph. Moving with the current a canoe can travel 10miles in the same amount of time it would take to go 4 miles moving against the current. Find the canoe's rate in still water.
Click here to see answer by richwmiller(9135) About Me 

Question 283401: A car is driving at a speed of 40mi/h. What is the speed of the car in feet per minute
Click here to see answer by Deina(147) About Me 

Question 283405: Carlos and Maria drove a total of 331 miles in 6 hours. Carlos drove the first part of the trip and averaged 51 mph. Maria drove the remainder of the trip and averaged 56 mph. For how many hours did Maria drive.
Click here to see answer by richwmiller(9135) About Me 

Question 283502: Two cars start are racing, starting at point A and finishing at point B. The first car goes all the way with constant speed; the second car goes half the distance between A and B with half the speed of the first car. How fast should the second car go to reach point B at the same time the first car does?
Click here to see answer by Alan3354(30993) About Me 

Question 283535: Two friends live 25 miles apart. They walk from their homes meeting 2 1/2 hours later. One walked 2 miles per hour faster than the other. What were their two rates?
Click here to see answer by richwmiller(9135) About Me 

Question 283591: The length of the minute hand on the clock is 7 inches. What is the most reasonable measure of the distance that the tip of the minute hand travels in one hour?
Click here to see answer by oberobic(2304) About Me 
Question 283591: The length of the minute hand on the clock is 7 inches. What is the most reasonable measure of the distance that the tip of the minute hand travels in one hour?
Click here to see answer by user_dude2008(1861) About Me 

Question 283666: Two cars leave an intersection, one car travels east the other north. When the car traveling east had gone 15 miles the distance between the cars was 5 miles more than the distance traveled by the car heading north. How far had the northbound car traveled?
Click here to see answer by richwmiller(9135) About Me 

Question 283762: if a train was goes 225 mile in 4 hour 15 min how far would go in 6 hours
Click here to see answer by richwmiller(9135) About Me 

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 mananth(12270) About Me 

Question 284127: Millicent began the journey at 6 am at 50 kilometers per hour. Beauregard began to chase her at 10 am at 60 kph. What time was it when Beauregard got within 40 kilometers of Millicent
Click here to see answer by richwmiller(9135) About Me 

Question 284233: 2 cyclists leave one is traveling east and the other west. after 4 hours they are 112 miles apart. if one cyclist is traveling 4mph faster than the other find the speed of each cyclist.
Click here to see answer by rfer(12660) About Me 

Question 284246: with the current, joe can row a canoe 3 miles in 12 mins. Against the current, he requires 18 minutes to row same distance. HOw fast does joe row in still water, and how fast is the current?
Click here to see answer by stanbon(57347) About Me 

Question 284253: with the current, joe can row a canoe 3 miles in 12 mins. Against the current, he requires 18 minutes to row same distance. HOw fast does joe row in still water, and how fast is the current?
Click here to see answer by nyc_function(2733) About Me 

Question 284235: Can you please help me with this problem. I am totally confused when it comes to D=RT word problems.
A local commuter train leaves downtown at 5 pm. And express commuter train leaves downtown at 5:30 pm. The express train travels twice as fast as the local, so the local has to pull over on a siding to avoid a crash 45 miles from downtown. At what time would the crash occur? How fast is each train going?
Thanks for your help!
Christine

Click here to see answer by scott8148(6628) About Me 

Question 284282: Hi! I would be so glad if anyone can help me on solving this distance-based problem. The "10 hours" thing at the end of the question just left me confused at that point. It is as follows:
An automobile leaves City A for City B 2 hours later than a truck. How many miles per hour must the automobile travel to reach City B at the same time as the truck if the truck travels at an average of 30 miles per hour and makes the trip in 10 hours?

Click here to see answer by mananth(12270) About Me 

Question 284232: 2 hikers start at opposie ends of the trail and walk towards each other. the trail is 36 miles long and they meet in 4 hours. if one hiker is twice as fast as the other, find both hiking speeds.
Click here to see answer by mananth(12270) About Me 

Question 284297: Fred and Desi left Steamtown Mall at 9:00 am and began walking in opposite directions. At 1:00 pm that same day they were 20 miles apart. If Fred walks 0.5 mph slower than Desi, what is Desi’s speed of walking?
A. 2.25 mph B. 2.75 mph C. 3.5 mph D. 5 mph E. None of these.

Click here to see answer by mananth(12270) About Me 

Question 284369: Bird is flying 120 km/hr between B to R. Two trains at B to R at 60 kmph. The distance traveled by the bird before it is killed?
Click here to see answer by richwmiller(9135) About Me 

Question 284372: A hiker is two-fifths of the way through a narrow tunnel and hears a train approaching at 27.625 mph. how fast must the hiker run if he can run either direction and just make it out safely?

Click here to see answer by richwmiller(9135) About Me 

Question 284377: Car Speedometer. The speedometer of Terry’s Honda CR-V is designed to be accurate with tires of radius 14in.
Find the number of rotations of a tire in 1 hour if the car is driven at 55mph.
Suppose that oversize tires of 16in. are placed on the car. If the car is now driven for 1 hour with the speedometer reading 55mph, how far has the car gone? If the speed limit is 55mph does Terry deserve a speeding ticket?

Click here to see answer by richwmiller(9135) About Me 
Question 284377: Car Speedometer. The speedometer of Terry’s Honda CR-V is designed to be accurate with tires of radius 14in.
Find the number of rotations of a tire in 1 hour if the car is driven at 55mph.
Suppose that oversize tires of 16in. are placed on the car. If the car is now driven for 1 hour with the speedometer reading 55mph, how far has the car gone? If the speed limit is 55mph does Terry deserve a speeding ticket?

Click here to see answer by brucewill(101) About Me 

Question 284368: a train traveling at 40 moh leaves a certain town. One hour later, a bus traveling at 50 mph leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started?
Click here to see answer by brucewill(101) About Me 

Question 284442: A plane flies 600 miles per hour with the wind and 530 miles per hour against the wind. Find the speed of the wind and the speed of the plane in still air.
Click here to see answer by Alan3354(30993) About Me 

Question 284454: average velocity 5.5 km/hr in 13.3 minutes what is distance travled in Kilometers
Click here to see answer by Deina(147) About Me 

Question 284519: Hi I would realy appreciate any help I could get with this word problem (step by step). Could you please also explain how I would check the answer. Thanks for your time
Airspeed. A plane carries enough fuel for 20 hours of
flight at an airspeed of 150 miles per hour. How far can it
fly into a 30 mile per hour headwind and still have enough
fuel to return to its starting point? (This distance is called
the point of no return.)

Click here to see answer by solver91311(16885) About Me 

Question 284553: If las Angeles is 3 hours behind new york. if it is 1:15 in new york what time is it in Las angelas. show the work
Click here to see answer by Alan3354(30993) About Me 

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