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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 32148: One model airplane travels 30 kilometers per hour faster than another. The faster plane can travel 400 kilometers in the same amount of time the slower plane travels 250 kilometers. Find the speed of both planes.
Click here to see answer by Paul(988)   |
Question 32372: Bob and Moe set off at the same time on a 30 km walk for charity. Bob walks 1.4 km/h faster than Moe, but stops for 20 min on route. Even with the delay, Bob finishes 2 hours ahead of Moe. How fast was each person walking, and how long did it take for each person to finish the walk? A comple algebraic solution is required.
My teacher gave us the quadratic formula to use and said we have to use it, and i dont know how to sub in.
Click here to see answer by Paul(988) |
Question 32448: I posted this problem before but my other E-mail address is actting up please send any info on my Question to this address. Sorry and Thank you.
Could you show me the steps on how to solve these problems I don’t need to see the final answer just how you got it.
3 trains—1 eastbound, 1westbound, and 1northbound—leave a city at the same time. The speed of the northbound train is 20 mph greater than the speed of the eastbound train After 7 hours, the distance between the westbound train and the eastbound train is 700 miles. Twice the speed of the westbound train is 90 mph more than the speed of the northbound train. . Find the speed of the 3 trains.
I know I didn’t set up the equations right but I did the best I could
3 trains—1 eastbound, 1westbound, and 1northbound—leave a city at the same time.
Eastbound = X, westbound = Y, northbound = Z.
The speed of the northbound train is 20 mph greater than the speed of the eastbound train
20 >X=Z
After 7 hours, the distance between the westbound train and the eastbound train is 700 miles.
Y-X=700 miles
Twice the speed of the westbound train is 90 mph more than the speed of the northbound train.
2Y=90+Z
Find the speed of the 3 trains. I have no idea how to do that.
Thank you Very Much
Click here to see answer by Paul(988) |
Question 32426: I can't seem to take out the equations from the from the word problem and I don't remeber the steps on how to slove it.
3 trains—1 eastbound, 1westbound, and 1northbound—leave a city at the same time. The speed of the northbound train is 20 mph greater than the speed of the eastbound train After 7 hours, the distance between the westbound train and the eastbound train is 700 miles. Twice the speed of the westbound train is 90 mph more than the speed of the northbound train. . Find the speed of the 3 trains.
This is what I did:
3 trains—1 eastbound, 1westbound, and 1northbound—leave a city at the same time.
Eastbound = X, westbound = Y, northbound = Z.
The speed of the northbound train is 20 mph greater than the speed of the eastbound train
20 >X=Z
After 7 hours, the distance between the westbound train and the eastbound train is 700 miles.
Y-X=700 miles
Twice the speed of the westbound train is 90 mph more than the speed of the northbound train.
2Y=90+Z
Find the speed of the 3 trains.
Click here to see answer by mukhopadhyay(490) |
Question 32857: can you help me tutors plese
Two planes started at the same time from two airports that are 3600 kilometers apart, and flew toward each other.One plane flew at 792 kilometers per hour and,the other flew at 888 kilometers per hour.In how many hours were the planes still 240 kilometers apart?
Click here to see answer by Paul(988) |
Question 32931This question is from textbook 
: 2 rockets are launched. the first one travels 9000mph. 15 minutes later the second is launched at 10000mph. What is the distance at which both rockets are an equal distance from earth.
Please help me set up the equation.
Thank youThis question is from textbook
Click here to see answer by stanbon(26249) |
Question 32981: This is one I got wrong on a test and I want to figure out what I'm not getting. I know the answer is 12 but I can't get there.
A long distance cyclist pedaling at a steady rate travels 30
miles with the wind. He can travel only 18 miles against the wind in the same amount of time.
If the rate of the wind is 3 miles per hour, what is the cyclist's rate without the wind?
Click here to see answer by Paul(988) |
Question 33073: Jamila and Tara go out for a bicycle ride. They leave from the same place riding inopposite directions. Tara is riding 10 miles per hour faster than Jamila. After riding for 6 hours, they are 180 miles apart from each other. At what speed was Jamila riding?
Click here to see answer by Paul(988) |
Question 33083: Juan and Vanessa live 535 miles apart. They started driving towards each other at the same time. Juan drove at a speed of 45miles per hour and Vanessa drove at a speed 60miles per hour. How many hours did it take before they met
I thought this was the correct way to set up the problem 45x + 60x = 535 but the answer did not come out even
Click here to see answer by Paul(988) |
Question 33096: Bobby and Rick are in a 10-lap race on a one-mile track. Bobby, averaging 90mph, has completed two laps just as Rick is getting his car onto the track. What speed does Rick have to average to be even with Bobby at the end of the tenth lap?
Click here to see answer by longjonsilver(2297)  |
Question 33141: Please help.
A cockroach can run at about 2mph. The average body length of a cockroach is about 1 inch. The average body length of a horse is 8 feet. If we asume that a horse's speed-to-length ratio is the same as that of a cockroach, how fast can a horse run?
Click here to see answer by sarah_adam(201) |
Question 33306: A plane flies 720 miles against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 hours, what is the planes's speed in still air.
Click here to see answer by Paul(988) |
Question 33336: Hi, my question is:
A river excrusion travels x miles upstream at 3 miles per hour and back to the same place at 5 miles per hour. The round trip takes 48 minutes. State in terms of x, how long the journey takes:
a) on the upstream leg;
b) on the downstream leg;
c) in total
d) Form an equation in x and solve it to find how far upstream the excrusion goes.
Click here to see answer by stanbon(26249) |
Question 33458: Chris drove 468 miles from his home to a town where his girlfriend lives. His speed was 65 mph except on a part of the highway under construction, where he had to slow down. If his total driving time was 8 hours and the part under construction was 208 miles, at what speed did he drive the part under construction in mph? Your answer is expected to be an integer. Put your answer in the answer box. Put the unit mph after your answer
Click here to see answer by Paul(988) |
Question 33462: I have home-schol curriculum and no text books. My problem is this:
At 10:00 am two planes leave an airport. If the northbound plane flies 280mph and the southbound plane at 320mph, at what time will they be 1,000 miles apart? Help???
Click here to see answer by Earlsdon(4898) |
Question 33542: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours 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?
Please help me I think the answer is 200 but I don't know how to set the problem up
Click here to see answer by Cintchr(475) |
Question 33543: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours 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?
Please help me I think the answer is 200 but I don't know how to set the problem up
Click here to see answer by Cintchr(475) |
Question 33543: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours 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?
Please help me I think the answer is 200 but I don't know how to set the problem up
Click here to see answer by Earlsdon(4898) |
Question 33544: My classmate and I argued over the set up Can you tell me if this is the correct set up 26 = 2(2.5 + w) + 4w
A book case is to have four shelves including the top. The height of the book case is to be 2.5 feet more than the width. find the width and height of the book case if only 26 feet of lumber is available
Click here to see answer by Cintchr(475) |
Question 33589: Mika leaves Boston for Baltimore at 10:00 A.M., traveling at
45mi/h. One hour later, Hiroko leaves Baltimore for Boston on the same route, traveling at 50mi/h. If the two cities are 425 mi apart, when will Mika and Hiroko meet?
Click here to see answer by Paul(988) |
Question 33587: A bus leaves a station at 1 P.M., traveling west at an average rate of 44mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by checkley71(8405) |
Question 33140: a river excrusion travels x miles upstream at 3 miles per hour and back to the same place at 5 miles per hour . The round trip takes 48 minutes. State , interms of x, how long the journey takes:
a) on the upstream leg;
b) on the downstream leg;
c) in total
d) form an equation in x and solve it to find how far upstream the excruison goes.
Click here to see answer by kietra(57) |
Question 33731: A boat travels 60 km downstream in the same time that it takes to go 36 km upstream. The speed of the boat in still water is 12 km/h. Find the speed of the stream and the time it took to travel 60 km downstream. Could someone help me with this problem? Thank you.
Click here to see answer by Paul(988) |
Question 33850: I am home schooling and do not have textbok curriculum:
My problem is this:
Two planes leave and airport at 10:00am. If the northbound plane flies at 280mph and the southbound plane flies at 320 mph, at what time will they be 1,000 miles apart?
Thanks for your help!
Click here to see answer by venugopalramana(3286)  |
Question 33851: I do not have textbook information because I home school with an internet program. My question is this:
A boy leaves on a bicycle trip at a rate of 8mph.ne hour later the father, realizing the son had forgotten his camping gear, sets out by car. How fast must he drive in order to overtake the boy in 15 minutes?
Thank you for your help!
Click here to see answer by mukhopadhyay(490) |
Question 30971: A company wants to invest $180,000 in three accounts, one bearing 4.5%, another 6%, and another 8% interest. Twice as much will be invested at 4.5% as at 8%, and the total interest earned the first year needs to be $10,400. How much should be invested at each rate?
Click here to see answer by stanbon(26249) |
Question 34209: I have home school curriculum and no textbook. Any help with this problem is greatly appreciated!!
A local train leaves a station and runs at an average rate of 35mph. An hour and 1/2 later an express train leaves and travels at an average rate of 56mph and travels on a parallel track. How many hours after it starts will the express overtake the local.
Click here to see answer by venugopalramana(3286) |
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