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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 273443: Joseph can finish a project in 10 hours and Aaron can do the same project in 8 hours. How long will it take to finish the project together?
Thank you.
Click here to see answer by solver91311(16868)

Question 273516: 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?

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

Question 273595: Joe traveled against the wind in a small plane for 3 hours. The return trip with the wind took 2.8 hours. What is the speed of the wind if the speed of the plane in still air is 180 mph?
Click here to see answer by mananth(12270)

Question 273600: In a chemistry class, 6 liters of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed?
Click here to see answer by mananth(12270)

Question 273579: Fred and Wilma start on a hike at 4 mi/hr. Three hours later barney discovers that they had forgotten their lunch and started after them on his bike at 12 mi/hr. How far had Fred and Wilma traveled when Barney caught up with them?
Click here to see answer by mananth(12270)

Question 273582: 2 CYCLIST START BIKING FROM A TRAIL START 3 HOURS APART. THE 2ND TRAVELS AT 10 MILES PER HOUR AND STARTS 3 HOURS AFTER THE 1ST WHO IS TRAVELING AT 6 MILES PER HOUR, HOW MUCH TIME WILL PASS BEFORE SECOND CATCHEDS FIRST
Click here to see answer by josmiceli(9649)

Question 273576: Two bicyclists started at the same time one heading due east at 20 mi/hr, the other heading due west at 25 mi/hr. How long will it take for the cyclists to meet?
Click here to see answer by josmiceli(9649)

Question 273574: Two jets leave Chicago at the same time, one flying due west @ 750 km/hr, the other flying due east @ 850 km/hr. After how long will the planes be 4000 km apart?
Click here to see answer by josmiceli(9649)

Question 273554: A company manufactures both liquid crystal display (LCD) and cathode ray tube (CRT) color monitors. The cost of materials for a CRT monitor is $30, whereas the cost of materials for an LCD monitor is $130. The cost of labor to manufacture a CRT monitor is $80, whereas the cost of labor to manufacture an LCD monitor is $130. During a week when the company has budgeted $7910 for materials and $10260 for labor, how many LCD monitors does the company plan to manufacture?
Click here to see answer by Theo(3458)

Question 273606: James and Javier each go on separate trips with Javier driving twice as fast as James. James travels for 3 hours while Javier travels for 2 hours. They drive a total of 280 miles. How fast does Javier drive?
Click here to see answer by mananth(12270)

Question 273578: A motorist driving at 100km/hr can go from wilton to stockton in 2 hours less time than can a train which averages 75 km/hr. How far apart are the towns?
Click here to see answer by mananth(12270)

Question 273575: Two trains leave the station at the same time one heading due east at 85 mi/hr, the other heading due west at 65 mi/hr. After how long will the trains be 600 miles apart?
Click here to see answer by mananth(12270)

Question 273587: THE GRAPH OF X2-Y=4 IS
Click here to see answer by checkley77(12569)

Question 273668: Two friends agree to travel towards each other and meet for lunch. They live 460 miles apart. Sue leaves at 6am driving at 40 pmh. Mary leaves at 8am driving at 55 pmh. Who will travel further and by how much?
Click here to see answer by richwmiller(9135)

Question 273726: two planes leave O'hare airport in chicago at the same time. one flies directly east at 540 miles per hour. the other flies west at 720 miles per hour. how long will it take them to be 1890 apart.
Click here to see answer by CharlesG2(828)

Question 273792: the time it takes to travel a certain distance varies inversely as the rate of speed. if it takes lena 40 minutes to drive to work when she drives at 45 miles per hour, how long will it take her to drive the same distance if she drives at 50 miles per hour?
Click here to see answer by josmiceli(9649)

Question 273804: Danny took a 56 mile bicycle trip. He bicyled 1.5 hours in the morning and 2 hours in the afternoon. What was his average speed miles per hour?
Click here to see answer by ankor@dixie-net.com(15624)

Question 273816: A cabin cruiser traveling with the current went 0 mi in 0 h. Against the current, it took 1 h to travel the same distance. Find the rate of the cabin cruiser in calm water and the rate of the current.
Click here to see answer by Alan3354(30959)

Question 273811: a train travels form boston to newyork a distance of 350km in 3.5 h what is the train average speed

Click here to see answer by checkley77(12569)

Question 273806: Danny took a 56 mile bicycle trip. He bicyled 1.5 hours in the morning and 2 hours in the afternoon. What was his average speed miles per hour?
Click here to see answer by checkley77(12569)

Question 273852: a train moving at a constant speed travels 180 miles miles in 4 hours. how far does the train travel in 7 hours?
Click here to see answer by JenniferTutors(83)

Question 273939: Two vehicles leave a gas station at the same time. One travels east at 60 miles per hour, the other travels west at 30 miles per hour. In how many hours will they be 150 miles apart?
Click here to see answer by stanbon(57219)

Question 273949: a ship traveling east at 25mph is 10 mi from a harbor when another ship leaves the harbor traveling east at 35mph. how long does it take the second ship to catch up to the first?
Click here to see answer by stanbon(57219)

Question 274000: at noon a train leaves washington d.c. headed for charleston south carolina, a distance of 500 mi. the train travels at a speed of 60mph.at 1 pm a second train leaves charleston headed for washington dc traveling at 50mph . how long after the train leaves charleston will the 2 trains pass each other
Click here to see answer by stanbon(57219)

Question 274068: I need help on this problem:
A 50 meter dash runner starts at the gun and reaches the tape in 9 seconds. He accelerates continuously. What was his final velocity?
Thank you!
Click here to see answer by josmiceli(9649)

Question 274100: Hi, my problem deals with two vehicles that are driving towards eachother on a road. Each Car is going 30 mph towards eachother. They are 200 ft. apart. At 200 ft. how long will it take for the two of them to meet? Can you help me?
Click here to see answer by nerdybill(6948)

Question 274139: I have tried this problem over and over and can not come up with the answer. If you could explain steps or how i need to go about tackling this equestion, thanks.
During a road trip, Tony drove one-third the distance that Lana drove. Mark drives 12
more miles than Lana drove. The total distance they drove on the trip was 334 miles. How
many miles did each person drive?
Click here to see answer by TheGagePrice(3)

Question 274148: Angela made a trip of 320 miles. For the first 3 hours she was driving in rain. When the rain had stopped she was able to increase her speed by 10 mph and finish the trip 2 hours later. How fast was she going during the first part of the trip?During the second part?

Thanks for helping me!
Click here to see answer by richwmiller(9135)

Question 274150: I forget the steps on how to do this problem! My midterm is in a few hours, if you could help it would be much aprpeciated.
You inherit $10,000 with the stipulation that for the first year the money must be invested
in two stocks paying 6% and 11% annual interest, respectively. How much should be
invested at each rate if the total interest earned for the year is to be $700?
Click here to see answer by richwmiller(9135)

Question 274178: I forget the steps on how to do this problem! My midterm is in a few hours, if you could help it would be much aprpeciated.
You inherit $10,000 with the stipulation that for the first year the money must be invested
in two stocks paying 6% and 11% annual interest, respectively. How much should be
invested at each rate if the total interest earned for the year is to be $700?
Click here to see answer by solver91311(16868)

Question 273978: Please help me solve this problem
Joe ran 8mph the first third of the trip, but soon got tired and slowed to 5mph for the rest of the two miles. How long did it take him to get home?
Thank you for your help
Click here to see answer by ankor@dixie-net.com(15624)

Question 274022: Heather is standing on a railroad bridge. A train is approaching from the direction shown by the yellow arrow (right). If Heather runs at a speed of 10mph towards the train, she will reach point P (300 ft away to the left of her) at the same moment that the train does. If she runs to point Q (500 ft to her right) at the other end of the bridge at the speed of 10mph, she will reach point Q also at the same moment that the train does. How fast, in mph, is the train traveling?
Click here to see answer by ankor@dixie-net.com(15624)

Question 274177: I forget the steps on how to do this problem! My midterm is in a few hours, if you could help it would be much aprpeciated.
You inherit $10,000 with the stipulation that for the first year the money must be invested
in two stocks paying 6% and 11% annual interest, respectively. How much should be
invested at each rate if the total interest earned for the year is to be $700?
Click here to see answer by ankor@dixie-net.com(15624)

Question 274438: A plane travels 1st one quarter of a journey in 6hrs. During the next 4hrs it covers one third of the remaining journey, but still has 4000mi to go.
1) What is distance of total journey?
2) What is the average speed?
I think the answer is 8000mi total jorney and avg speed is 400mi/hr. Am I right?
Click here to see answer by josmiceli(9649)

Question 274474: James walked 4 mph for a certain amount of time and 3 mph for a certain amount of time. He went 27 miles.
Had he walked 3 mph faster throughout, he would have walked 51 miles. How long did he walk for 4 mph?
I feel like there is a variable missing, but my instructor says that there is not. I have tried this question 47 times. I don't have the answer to check if what I have is correct, but none of my work checks out.
I use
4(x) + 3(y) = 27
3(x-y)=51
My answer is 9 hours at 3 mph, and 6.75 at 4mph. If this is true, then why did they bother to give me the second part of the question. It wasn't even used.
Any help that can be offered is appreciated.

Click here to see answer by scott8148(6628)

Question 274572: Mario's car travels 468 miles on 18 gallons of gas. Will 40 gallons be enough for Mario to travel 1,200 miles? Explain.
Click here to see answer by checkley77(12569)

Question 274551: How many feet per second does a car travel when it is moving at 44 mph?

Click here to see answer by checkley77(12569)

Question 274475: The Artic tern migrates farther than any other bird. It migrates from the north pole to the south pole and back every year, a distance of more than10,000 miles each way. If a tern flies 10,919 miles in four months, averaging 30 1/2 days per month,how far does it fly per day?
Click here to see answer by ankor@dixie-net.com(15624)

Question 274651: Ken wants to swim 20 yards out into the ocean. He swims out 5 yards in 4 seconds but then in one second a wave pushes him back 2 yards. If this cycle continues, how long will it take Ken to get 20 yards out for first time, even if only for an instant?
Click here to see answer by stanbon(57219)

Question 274343: A pharmacist trains by running one training segment at 8 kilometers per hour and then a second at 10 kilometers per hour. If the total running time is 3.5 hours and the total distance is 31 kilometers, how long should he run at each speed?
Thank You
Click here to see answer by ankor@dixie-net.com(15624)

Question 274687: A swimmer can swim at twice the speed of the prevailing tide. If it takes her 4 minutes to swim round trip to a buoy, how long will it take her to swim the identical trip in still water?
Click here to see answer by scott8148(6628)

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