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

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Word Problems: Travel and Distance

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Question 26330: I have been racking my brain for hours over this one, and I can't seem to find any info on the internet about it.
Train A leaves the station at 1pm heading north at 65 mph. Train B leaves the same station 1 hour later traveling south at 55 mph. How long will it take the trains to be 365 miles apart?
Please help.
Thanks!

Click here to see answer by Paul(988)

Question 26329: Hi could you please solve this problem for me. I don't understand how to set it up. Helped by a strong jet stream, a Los-Angeles-to-Boston plane flew 10% faster than usual and made the 4400km trip in 30min less time then usual. At what speed does the plane usually fly?
What i came up with:
x=old speed
x-30=new speed?
Click here to see answer by venugopalramana(3286)

Question 26328: I was wondering if you could help me with this problem. I need it as soon as possible. Thank you! A train averaged 120 km/h for the first two thirds of a trip and 100 km/h for the whole trip. Find its average speed for the last third of the trip. I think the answer is 75km/h but i don't know how to set it up. Thank you.
Click here to see answer by venugopalramana(3286)

Question 26368: During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads. Can someone help me figure this out?
Click here to see answer by Paul(988)

Question 26425: An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane in still air.
Click here to see answer by Paul(988)

Question 26467: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
I am so stumped on this one I have not got a clue where to begin. Please give me a hand Thank you
Click here to see answer by stanbon(26251)

Question 26010: Please help me with this problem: Helped by a strong jet stream, a Los Angeles-to-Boston plane flew 10% faster than usual and made the 4400 km trip in 30 minutes less time than usual. At what speed does the plane usually fly?
Thank you!

Click here to see answer by stanbon(26251)

Question 26531: Car A leaves sacramento at noon traveling at 60 mph on road 560 miles long to Los Angeles. Car B leaves Los Angeles at 2 pm traveling at constant speed along the smae road to Sacramento. They meet at 6 pm. What was the speed of car B?
Click here to see answer by Paul(988)

Question 26536: Car A and Car B leave origin at 2 pm. Car A travles south at 60 mph and Car B travles east at 80 mph. Att what time will they be 200 miles apart?
Click here to see answer by Paul(988)

Question 26547: 2 people live 225 miles apart. The meet for lunch at a place between their houses. They leave at the same time. One takes 1hour and 45minutes to arrive and the other takes 1hour and 15 minutes to arrive. If they drive at the same speed determine their speed. And how far the resturant is from each house.
Click here to see answer by Paul(988)

Question 26560: My question is: After driving 60km, the bonewitz family has completed 3/5 of their vacation. How long is the total trip?
Click here to see answer by Earlsdon(4898)

Question 26602: You have 13 coins, which all look alike. 12 coins weigh exactly the same, but the other is heavier. You have a pan balance. Tell how to find the heavier coin in just 3 weighings. Assume you can't tell just by holding the coins which on is heavier.

Click here to see answer by kev82(145)

Question 26709: With a tailwind, a plane can fly 450 miles in 3 hours. The return trip takes 5 hours Find the speed of ther plane in still air and the speed of the wind.
Click here to see answer by Paul(988)

Question 26767: the excursion boat Holiday travels 35km upstream and then back again in 4h 48 min. If the speed of the Holiday in still water is 15 km/h, what is the speed of the current?
Click here to see answer by Paul(988)

Question 26774: A commuter train leaves Union station in Chicago at noon. Two hours later, an Amtrak train leaves Chicago on the same track, traveling at an average speed that is 50 miles per hour faster than the commuter train. At 3 PM the Amtrak train is 10 miles behind the commuter train. How fast is each train going? How far from Chicago are the trains
Click here to see answer by josmiceli(3003)

Question 26877: I,m having trouble coming up with an equation to solve this problem. Could you please help?
At 7:18 you get on the bus and are off to school. The bus travels at 42mph. Fifteen minutes later your mother realized you left your math project on the kitchen table. She drives 72mph to catch up with the bus. What time will your mom catch up with the bus?Will she get you your project before the homeroom bell? FYI the homeroom bell in my school rings at 7:37.
Click here to see answer by Paul(988)

Question 26966: I need help with the following problem please.
A car is taking a trip driving to James Town that is 80 miles away. On the return trip the car is driving 10 miles/hour slower on the way back. It took 20 minutes longer to get back . How fast was the car traveling on the trip to James Town and how fast was it traveling on the return trip.

Click here to see answer by Paul(988)

Question 26984: The speed of the current in the Mississippi River is 5 mph. A boat travels downstream 26 miles and returns in 10 2/3 hours. What is its speed in still water?
Click here to see answer by Paul(988)

Question 26982: Increasing the average speed of the Pickerinton Express Bus by 13 km/h resulted in the 260 km trip taking an hour less than before. What was the original average speed of the bus?
Click here to see answer by Paul(988)

Question 27168: When Fritz drives to work his trip takes 36 minutes, but when he takes the train it takes 20 minutes. find the distance he travels to work if the train travels an average of 48 mph faster than his driving.
Click here to see answer by Paul(988)

Question 27196: Two planes leave LA at the same time. One heads south to San Diego, the other heads north to San Francisco. The San Francisco plane flies 50 mph faster. In 1/2 hr, the planes are 275 mi apart. That are their speeds?
Click here to see answer by Paul(988)

Question 27194: A moterboat can go 8 miles downstream in 20 mins. It takes 30 mins for this boat to go back upstream the same 8 miles. Find the speed of the current. I know how to set everything up except for the rate. PLEASE HELP!!!!

Thank You,
Stacy
Click here to see answer by Paul(988)

Question 27201: A car ia driving at 65 mph on a highway that follows railroad tracks. A train traveling 80 mph passes the car. How long after the train passes is it 20 miles ahead of the car? I have no clue where to start on this one. Please help! Kat
Click here to see answer by josmiceli(3003)

Question 27210: Two cars start at an interstate interchange and travel in the same direction at average speeds of 40 mph and 55 mph. How much time must elapse before the two cars are 5 miles apart?

Click here to see answer by JayJay_T(6)

Question 27198: A satellite leaves earth at 3km/sec. After 100days earth sends out a radio signal traveling at 3(10)^5 km/sec. How long will it take the radio signal to reach the satellite? THANK YOU!!
I converted 100days into seconds (144000sec) and found the distance traveled to be 420000km. Do I even need to do that? thanks again
Click here to see answer by josmiceli(3003)

Question 27234: If Betty drove at 40mph towards Mary's house, and Mary drove 30mph towards Betty's house and started 2 hours earlier. Their homes are 270 miles apart, how long will it take them to meet after Betty starts. I came up with,
30(t+2)= 40t
30t + 60 = 40t
10t = 60
t = 6
Is this correct, thanks
Click here to see answer by Paul(988)

Question 27235: A plane flying with the wind flew 225 miles in 2 hours. It returned to its origin flying against the wind and took 3 hours 45 minutes to cover the same distance. How fast was the wind blowing? I came up with the following, did I do this correctly? Thanks for your help
V= Air Speed
W= Wind Speed
2(V + W)=225
2V + 2W =225
2V = 225
112.5 is air speed
3.75(112.5 - W)=225
421.88 - 3.75W = 225
-3.75W = -196.88
W = 52.50 mph
Click here to see answer by Paul(988)

Question 27291: Jogging: Nicolle Ryba jogged for a distance and then turned around and walked back to her starting point. While jogging she averaged 7.2 miles per hour, and while walking she averaged 2.4 miles per hour. If the total time spent jogging and walking was 4 hours, find
a) how long she jogged, and
b) the total distance she traveled
Thanks for any help. I've been trying to figure out how to set this up for 3 hours. I've tried to add the two rates and divide that by 4 but that didn't work. Am I on the right track?

Click here to see answer by sdmmadam@yahoo.com(530)

Question 27286: Tanya, who is a long distance runner, runs at an average velocity of 8 miles per hour. Two hours after Tanya leaves your house, you leave in your Honda and follow the same route. If your average velocity is 40 miles per hour, how long will it be before you catch up with Tanya? ow far will each of you be from your house?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27244: I need help on solving a multiplication equation. The equation reads 15/8= b+3/32. I do not really know how to solve these kind of equations. Thank You
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27308: 5) Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
Click here to see answer by Z(8)

Question 27429: Losing my mind here...please help.
Both crew A and Crew B can lay underground cable at a rate of 2 miles per day. Crew A begins and Crew B begins 6 days later. How long does Crew A have to work before the job is finished. The length of the project is 40 miles.
Click here to see answer by mbarugel(146)

Question 27468: Two trains, 90 miles apart, start heading toward each other at the same time. One travels twice as fast as the other. If they meet 2 hours later, at what average speed is each train traveling?
Click here to see answer by Paul(988)

Question 27479: after 2 days of travelling,a group of explorers are 40km east and 50km north of the base camp.a second group are 20km west and 70km south of the base camp.find:
a)the distance between the two groups, and
b)a description of the midpoint between the two groups.
Click here to see answer by venugopalramana(3286)

Question 27508: Russ and Janet are running in the Apple Hill Fun Run. Russ runs at 7mph. Janet runs at 5mph. If Janet starts first, with Russ starting ten minutes later, how long will it be before he catches up with her?

I know you convert 10 minutes to 1/6 of an hour and I know you minus 1/6 from something. Thank you
Click here to see answer by Paul(988)

Question 27513: Joann took 20 minutes to drive her boat upstream, coming back at the same boat speed, it took her 15 minutes. If the current in that part of river is 5 km per hr, what was her boat speed?
Thank YOU!
Click here to see answer by Paul(988)

Question 27557: Two trains started from the same place at the same time and traveled in opposite directions at rates that differed by 20 miles per hour. In 5 hours, they were 650 miles apart. Find the rate of each train. Please help!!!
Click here to see answer by venugopalramana(3286)

Question 27619: The question is: You live in Pennsylvania and your grandparents live in Ohio. When you are in Pennsylvania, you drive an average rate of 55mph. When you are in Ohio, you drive an average rate of 65mph. The entire trip of 295 miles takes 5 hours. How long does it take to reach the Pennsylvania-Ohio border? How long does it take to get from the border to your grandparent's house?
Click here to see answer by Paul(988)

Question 27688: In Slippery Creek, Janna can row 50 km downstream in 5 hours or she can row 25 km upstream in the same amount of time. Find the rate she rows in still water.

Click here to see answer by longjonsilver(2297)

Question 27691: Kathryn drove her rig 3 hours before dawn and 5 hours after dawn. If her average speed was 4 miles per hour more in the dark and she covered 500 miles altogether, then what was her speed after dawn in miles per hour?

Click here to see answer by Paul(988)

Question 27689: A jetliner flying with the wind traveled 3600 km in 6 hours. The return trip, against the wind, took 8 hours. Find the rate at which the jet flew in still air.

Click here to see answer by Paul(988)

Question 27692: On Monday, Roger drove to work in 42 minutes. On Tuesday, he averaged 5 miles per hour more, and it took him 3 minutes less to get to work. How far (in miles) does he travel to work?

Click here to see answer by Paul(988)

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