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 186406: A car traveling 61 miles per hour passes a bus traveling 53 in the same direction on the highway. If they maintain their speeds, how long will it take them to be 28 miles apart?
Click here to see answer by ankor@dixie-net.com(6689)

Question 184775: an airplane is traveling with a velocity of 320 km/hr to the North. It is flying against the wind which is blowing to the south at 42 km/hr. What is the actual velocity of the airplane?
Click here to see answer by Alan3354(6056)

Question 186523This question is from textbook
: Diving time. The time t (in seconds) that it takes for a
cliff diver to reach the water is determined by the height
h (in feet) from which he dives:
t= Square Root of h/16
Sky diving. The formula in Exercise 109 accounts for the
effect of gravity only on a falling object. According to that
formula, how long would it take a sky diver to reach the
earth when jumping from 17,000 feet? (A sky diver can
actually get about twice as much falling time by spreading
out and using the air to slow the fall.)This question is from textbook

Click here to see answer by Alan3354(6056)

Question 186408: two cars leave a parking lot and travel in opposite directions. one travels at 9 miles per hour and the other travels at 5 miles per hour. in how many hours will the two cars be 42 miles apart?
Click here to see answer by checkley77(7035)

Question 186557This question is from textbook
: A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?
D = R x T
bike 12 mi r+10 5 hr
hike 8 mi r 5 hr
Am i on the right track?This question is from textbook

Click here to see answer by stanbon(26252)

Question 186567: A bicyclist biking on a straight road at a steady 12 mph is being chased by a dog running at 15 miles per hour. If the cyclist is 50 feet ahead of the dog and each continues at the same rate, how long, to the nearest 10th of a minute, will it take the dog to catch up to the cyclist? (1 mile = 5,280 ft)
Click here to see answer by Alan3354(6056)

Question 186606: An express train and a local train both leave Lake City at 12:00 noon and head for Chicago 60 miles away. The express train travel twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train.
Click here to see answer by stanbon(26252)

Question 186413: adam and david were both driving east on the same highway. at 5:00 p.m., adam traveling at 60 miles per hour, was 10 miles east of david. a little later, david, traveling at 70 miles per hour, passed adam. at what time did david pass adam?
Click here to see answer by jojo14344(1483)

Question 186649: Two trains traveling on parallel tracks are going toward each other from a distance of 960 kilometers. if one train moving at 100 kilometers per hour and the other is moving at 140 kilometers per hour, after how many hours will the trains pass each other?
Click here to see answer by Edwin McCravy(2920)

Question 186697: A motorcycle traveling 60mph overtakes a police patrol car traveling at 40mph that had a 3hr head start. How far from the starting point are the two vehicles?
a) 360miles b) 279 miles c) 187 miles d) 290 miles

Click here to see answer by scott8148(3382)

Question 186441: Ali plans a road trip from Chicago to Detroit in his Honda Accord with an overnight stay in Hammond, Indiana. On Wednesday, he drove from Chicago to Hamond at an average speed of 47 mph. On Thursday, he continued to drive from Hamond to Detroit at an average speed of 69 mph. His driving time on Thursday is 2 hours longer that his driving time on Wednesday. If the total distance from Chicago to Detroit is 326 miles, then what is the total number of hours he drove on both days? How far is Detroit from Hamond, IN?
Click here to see answer by ptaylor(1578)

Question 186720: Ali plans a road trip from Chicago to Detroit in his Honda Accord with an overnight stay in Hammond, Indiana. On Wednesday, he drove from Chicago to Hamond at an average speed of 47 mph. On Thursday, he continued to drive from Hamond to Detroit at an average speed of 69 mph. His driving time on Thursday is 2 hours longer that his driving time on Wednesday. If the total distance from Chicago to Detroit is 326 miles, then what is the total number of hours he drove on both days? How far is Detroit from Hamond, IN?
Click here to see answer by ankor@dixie-net.com(6689)

Question 186781: A certain trip took 40 min to complete. If half the distance was 100 and the other half at 60, what's the distance traveled during the trip?
a) 68 b) 50

Click here to see answer by checkley77(7035)

Question 186698: A certain trip took 40 min to complete. If half the distance was 100 and the other half at 60, what's the distance traveled during the trip?
a) 68 b) 50

Click here to see answer by ankor@dixie-net.com(6689)

Question 186854: A plane takes 6 hours to fly from San Francisco to New York, and 5 hours to return back. The wind velocity is 50 miles per hour, from New York to San Francisco. What is the speed of the airplane.

can you solve this for me?
Click here to see answer by ptaylor(1578)

Question 186819: On Monday, Chuck drove from Norfolk to Valentine averaging 47 mph. On Tuesday he continued on to Chadron, averaging mph. His driving time on Monday was 2 hrs longer than his driving time on Tuesday. If the total distance from Norfolk to Chadron is 326 miles then how many hours did he drive on Monday? How far is it from Valentine to Chadron?
Click here to see answer by checkley77(7035)

Question 186871: This question is not from a book.
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster the trip would have taken 2 hours less. Find the speed of his vehicle
Click here to see answer by josmiceli(3003)

Question 186889: A train travelled 120km in 1 and a half hours. What is the average speed of the train?

Click here to see answer by jojo14344(1483)

Question 186987: danikas new running route is 4 miles longer than her old route
Click here to see answer by rapaljer(3610)

Question 187054: If Car A leaves at 1pm traveling 50 mph and Car B leaves at 2 pm traveling 65 mph, what time will Car B pass Car A?
(Please show the work.)
Click here to see answer by stanbon(26252)

Question 187052: Can you tell me how long it would take a locomotive traveling 3.53 miles per hour to travel 15 feet? 20 feet? 30 feet? Or, perhaps at least the formula for determining this sort of thing?
Many thanks!!!
Click here to see answer by vleith(1977)

Question 187033: This is a strange problem our instructor gave us to solve. I cannot figure out how to do this particular probem. Can someone please help? Here it is. The Ohio River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver and returns in a total of 6 hours. What is the speed of the boat in still water? I am so confused...
Click here to see answer by ankor@dixie-net.com(6689)

Question 187089: Fred bicycles 7km/h slower than samantha. In the time it takes fred to bicycle 40km, samantha travels 68km. How fast does fred bicycles?
Click here to see answer by solver91311(5072)

Question 187080: A plane flies 420 miles with the wind and 340 miles against teh wind in same length of time. If the speed of the wind is 30 mph, what is the speed of the plane in still air?
Click here to see answer by solver91311(5072)

Question 187200: This is from my text book. If you could show me how to set it up to solve that would be great!! Problem: Donna is late for a sales meeting after traveling from one town to another at a speed of 32mph. If she had traveled 4mph faster, she could have made the trip in 1/2 hr less time. How far apart are the towns?
Click here to see answer by ankor@dixie-net.com(6689)

Question 187224: Two trains are 330 miles apart, and their speeds differ by 20 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours.
Click here to see answer by stanbon(26252)

Question 187209This question is from textbook
: This is from a text book and I cannot figure how to set it up and answer it.
CAR TRIP. During the first part of a trip, Trudy's Honda traveled 120 mi at a certain speed. Trudy then drove another 100 miles at a speed that was 10 mph slower. If the total time of Trudy's trip was 4 hr, what was her speed on each part of the trip? I am stumped at the moment. Thank you for your help.This question is from textbook

Click here to see answer by ptaylor(1578)

Question 187378: The first car is at 60 miles per hours and is 80 miles ahead of the second car, but the second car is moving at 70 miles per hour. How long will it take for the second car to pass the first?
Click here to see answer by jojo14344(1483)

Question 187404: Hi I need help with 3 word problems. I don't even know where to begin. This is from my textbook.
According to Kepler's third law of planetary motion, the average radius R of the orbit of a planet around the sun is determined R=T^2/3, where T is the number of years for one orbit and R is measured in astronomical units.
a. It takes Mars 1,881 years to make one orbit of the sun. What is the average radius in AUs of the orbit of Mars?
b.The average radius of the orbit of Saturn is 9.05 AU. How many number of years does it take for Saturn to make one orbit of the sun?
Click here to see answer by solver91311(5072)

Question 187405: Solve the Problem: A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does to go downstream 360 miles. How fast is the current?
Click here to see answer by josmiceli(3003)

Question 187402: A freight train covered 120 miles at a certain speed. Had the train been able to travel 10 mph faster, the trip would have been 2 hours shorter. How fast did the train go?
Click here to see answer by checkley77(7035)

Question 187491This question is from textbook
: graph the equation.
y=x^2-5This question is from textbook

Click here to see answer by Alan3354(6056)

Question 187578: What is the distance traveled by a ball thrown downward at a velocity of 12 feet per second if the ball falls for 6 seconds?
I am trying to brush up on my algebra, and I am not sure how to find the answer to this problem. I forget how velocity and these sort of problems work, it's been a while since I have been out of school. :-) Thank you! Jessica
Click here to see answer by Alan3354(6056)

Question 187526: A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.
Click here to see answer by dukesmart(20)

Question 187715: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 48miles per hour. Train A passes a station at 1:20pm. If train B passes the same station at 1:50 pm, at what time will train B catch up to Train A
Click here to see answer by stanbon(26252)

Question 187755This question is from textbook
: In a test of a heat-seeking rocket, the target rocket is launched at 2000 ft/sec and the heat-seeking rocket is launched along the same flight path 12 seconds later at a speed of 3200 ft/sec. Find the times t1 and t2 of flight of the rockets until the heat-seeking rocket destroys the first rocket.
This question is from textbook

Click here to see answer by ankor@dixie-net.com(6689)

Question 187932: If I am traveling 12 miles per hour and it takes me 36 mins to get to school, how far will I travel to get to school?
Click here to see answer by Earlsdon(4898)

Question 187928: Jeff starts driving 55 miles per hour from the same point that Lauren starts driving at 70 miles per hour. They drive in opposite directions, and Lauren has a half-hour head start. How long will they be able to talk on their cell phones that have a 440-mile range?
Click here to see answer by Alan3354(6056)

Question 187902: Two people are 3 ½ miles apart and walking towards each other. Their uniform walking rates differ by 1 mph. They will meet in ½ hour. What is the uniform rate of slower walker? How much of the distance will he/she travel?
Click here to see answer by ptaylor(1578)

Question 188194: Bill is paid hourly. If he works 8 hours he will receive $50. Write an equation for his salary based on the number of hours he works.
Click here to see answer by Mathtut(3670)

Question 188190: A man walks at a pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time AFTER the rest when he continues on his walk. Let d be the TOTAL distance traveled since he started. Write an equation linking d and t.
Click here to see answer by solver91311(5072)

Question 188227: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4 mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(6689)

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