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

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Question 586109: Two vans leave at the same time, one headed north, one headed south. The one headed north is 10 km/h faster than the one headed south. In 3 hours, they are 420 km apart.
I think I already have one equation , which would be x=y+10, however, I don't understand how to set the other one.
Click here to see answer by stanbon(75887)

Question 585804: an airplane is traveling 550 miles per hour. It is carrying 80 passengers.
How many miles per minute?
How many feet per second?
How many passenger-miles on a 400 mile trip?
How many passenger-miles per minute?
Click here to see answer by ankor@dixie-net.com(22740)

Question 586166: Alice travels 5 times faster than Jill. Traveling in opposite directions, they are 216 miles apart after 6 hours. Find their rates of travel.
Click here to see answer by rfer(16322)

Question 586202: if it takes 6hours to drive 420 kilometer, how long does it take to drive 70 kilometer?
Click here to see answer by Sudoku19(4)

Question 586253: car drives 350 miles at the same time a plane travels 1300 miles. The speed of the plane was 190 miles faster than car. What is the speed of the plane.
I tried...
350/x=1300/x+190 and got a solution of 70. Not sure if that's right or what to do with it.
Click here to see answer by scott8148(6628)

Question 586130: Please help me solve this problem.
Thank you,
David R
jody is driving at a constant rate. she passes a milepost that displays a two-digit number. exactly on hour later, she passes a second milepost that displays the same two digits in the reverse order. one hour later, she passes a third milepost with the original two digits separated by a zero. what is her rate in miles per hour?
Click here to see answer by sudhanshu_kmr(1152)

Question 586309: How many miles per hour does a car travel if it makes a 40 mile trip in 30 minutes?
Click here to see answer by Alan3354(69443)

Question 586324: a fugitive leaves the scene of an accident traveling by car at an average speed of 80 miles per hour. the police arrive at the scene 15 minutes later (1/4 hour). they travel in the same direction as the fugitive at an average speed of 90 mph. how long will it take before the police catch the fugitive?
Click here to see answer by Alan3354(69443)

Question 586342: A driver of a car is initially 550 miles from home, traveling toward home on a straight freeway at 65 mph.
whats a formula for a linear function that models the distance between the driver and home after x hours.
Click here to see answer by Alan3354(69443)

Question 586421: John's speed on his drive to work in the morning averages 15mph faster then his speed on the return trip in the evening on the same route. His driving time in the morning is 15 minutes less than his driving time in the evening. What are his speeds to and from work? What are his drving times? The distance from home to work is 25 miles.
I dont know how to proceed with this, I think it might be too wordy! Thank you for any help.
Click here to see answer by stanbon(75887)

Question 586542: Sara can ride her bicycle 3 miles in 15 minutes. At this rate, how many miles can she ride her bicycle in 50 minutes?
Click here to see answer by tw23279(14)

Question 586497: Hello I really have trouble in math please solve this and teach me

The car drove 40mi/hr to work and drove back 20mi/hr to go home. How much was the total distance?
Click here to see answer by Alan3354(69443)

Question 586561: What is the speed of a car traveling 144 km in 90 minutes in kilometers per hour
Click here to see answer by ankor@dixie-net.com(22740)

Question 586589: A motorcycle traveling at 60mph overtakes a car traveling at 30mph that had a three-hour head start. How far from the starting point are the two vehicles?
How do I put this into an algebraic equation and solve it? Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 586604: how do you solve this: Two cars were traveling in the same direction on the same course. The first car was traveling 65mph and the second car was traveling 55mph. After how long were the two cars 45 miles apart?
Click here to see answer by solver91311(24713)

Question 586619: Which equation represents a line that passes through the point (-3,4) and is perpendicular to the line y=-3x+7?
Click here to see answer by solver91311(24713)

Question 586633: how many minutes does it take to cover 24 miles at a rate of 12 miles per hour
Click here to see answer by eschwartz(9)

Question 586620: How would you solve this: Laura and Dale drove in opposite directions. After two hours they were 68 kilometers apart. Laura drove 2 kilometers per hour faster than dale. How fast did Laura drive?
Click here to see answer by eschwartz(9)

Question 586700: Two trains start from the same station at the same time, but travel in opposite directions. Their hourly rates are 35 mph and 55 mph, respectively. After how many hours will the trains be 540 miles apart?
Click here to see answer by ad_alta(240)

Question 586694: Ricardo runs 10 miles each Saturday. If he doubles his usual speed, he can run the 10 miles in one hour less than his usual time. What is his usual speed?
Click here to see answer by ad_alta(240)

Question 586776: Two friends go to a park to exercise. One starts running at a rate of 8.4 mph on the 23 mile path around the park, and the other starts from the same point, jogging at a rate of 5.5mph in the opposite direction on this path. How many minutes will it be before they meet on this path?
What I have so far is d=rt
Let t=time when they meet
8.4t +5.5t=23
13.9t=23
=1.65
I would appreciate any help on this. Been working on word problems till my head hurts. lol Thanking you in advance.
Click here to see answer by scott8148(6628)

Question 586810: A train traveling at 30 mph, needs to travel a 100 km. How fast will it get there?

Click here to see answer by solver91311(24713)

Question 586678: Andrew rode 14 miles on his bike in 1 hour 45 minutes what is Andrews average speed?
Click here to see answer by ankor@dixie-net.com(22740)

Question 586936: what equation would i use to see how long it would take to go 641 miles at a rate of 65mph
Click here to see answer by richwmiller(17219)

Question 586926: Two planes are flying around the world. The first plane is flying at 300 miles per hour (mph) and is 350 miles ahead of the second plane. The second plane is flying at 400 mph. How long will it take for the second plane to catch the first plane?
Click here to see answer by richwmiller(17219)

Question 586961: how long will it take to ride a bike 28 miles going 13 miles per hour?
Click here to see answer by stanbon(75887)

Question 587060: a race car travels at 180km per hour how long will it take the race car to travel 100 meters
Click here to see answer by stanbon(75887)

Question 587071: a girl flew her plane for 6 hr at a constant speed. She traveled 810 mi with the wind, then turned around and traveled 720 mi against the wind. The wind speed was a constant 15mph. Find the speed of the plane
Click here to see answer by lwsshak3(11628)

Question 587161: Keisha can drive her car 354 miles on 15 gallons at the same rate, how many miles can she drive her car on 20 gallons of gasoline
Click here to see answer by rfer(16322)

Question 587203: If boulder city is 20 miles away and i drive at a constant speed of 70 mph how long would it take me to get there?
Click here to see answer by Schaman_Dempster(26)

Question 587376: It takes you 1 1/2 hours to jog 12 miles. What is your average speed in miles per hour?
Click here to see answer by Alan3354(69443)

Question 587376: It takes you 1 1/2 hours to jog 12 miles. What is your average speed in miles per hour?
Click here to see answer by abush(5)

Question 587388: Each lap around Spring Lake Park is 2 1/2 miles. Bob walked 2/5 of one lap before leaving the park. What was the total distance in miles that Bob walked?
Click here to see answer by solver91311(24713)

Question 587411: A long-distance runner is running at 5 m/s. How long does it take the runner to travel 1 km ?
Click here to see answer by stanbon(75887)

Question 587487: The state fair is a popular field trip destination. This year the senior class at High School A and the senior clas at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus
Click here to see answer by stanbon(75887)

Question 587417: Eddie is flying a jet against the wind on a 330 mile trip. Flying with the same wind speed, Eddie could fly a 550 mile trip in the same amount of time. If Eddie's jet flies 220 miles per hour in still air, what is the speed of the wind? Solve problem algebraically please...
Click here to see answer by ankor@dixie-net.com(22740)

Question 587484: Please help me solve this word problem { { { Let "x" be the first of three consecutive even integers. If the sum of the squares of the first and second is eighty-four more than the square of the largest, find all three integers.
Click here to see answer by dfrazzetto(283)

Question 587575: Susan is running a race. The total distance that susan must run is 10 kilometers. If susan has already run 3,400 meters, how many more kilometers does susan have left to run?
Click here to see answer by Alan3354(69443)

Question 587671: On a farm, there are only sheep and chicken. There were 60 heads and 200 legs. How many sheep are there?
Click here to see answer by mananth(16946)

Question 587696: What distance can i run in 20 minutes at a speed of 8km/hr
I am 6 ft tall
athletic build
legs are 900mm long to the top of the femur into the hip

Click here to see answer by Alan3354(69443)

Question 587695: Mandy can walk at a rate of 3.5 miles per hour. approximently how many feet per second is that?
Click here to see answer by Alan3354(69443)

Question 587731: Joseph and Lisa live 150 miles apart. They leave at the same time and drive on the same road towards each other. Jospeh travels at a rate of 60 miles per hour. Lisa travels at a rate of 70 miles per hour. In approximately how much time will Joseph and Lisa meet on the road?
Click here to see answer by htmentor(1343)

Question 587692: During 60 mi of driving, Jenna averaged 15 mi/gal. She then drove 140 mi on an expressway and averaged 25 mi/gal for the entire 200 mi. Find the average fuel consumption on the expressway.
Click here to see answer by KMST(5328)

Question 587747: jake is on a 24-mile bike trip. He wants to average 10 miles per hour. He is halfway to his distination and has averaged 8 miles per hour. What must his average speed be on the last part to complete on time
Click here to see answer by ankor@dixie-net.com(22740)

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