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 56036: You are 36 miles from a friend. You both start riding your bicycles toward each other at the same time. You travel 15 miles per hour and your friend travels 3 miles per hour slower. How far will you travel before you meet your friend?
Click here to see answer by Lacey020991(49)

Question 56087: Hi there! I've got one of those lovely distance problems.
If a train travels non-stop for 24 hours at a speed of 70 miles per hour, how far does it travel in that time?
Click here to see answer by tutorcecilia(2042)

Question 56108This question is from textbook college algebra
: I am not quite sure how to even set this up.
Suzi drove home at 60 mph, but her brother Jim, who left at the same time, could drive at only 48 mph. When Suzi arrived, Jim still had 60 miles to go. How far did Suzi drive?
This question is from textbook college algebra

Click here to see answer by funmath(2873)

Question 56106: I am not quite sure how to even set this up.
Suzi drove home at 60 mph, but her brother Jim, who left at the same time, could drive at only 48 mph. When Suzi arrived, Jim still had 60 miles to go. How far did Suzi drive?

Click here to see answer by ankor@dixie-net.com(6688)

Question 55990: John and Fred must mow the lawn before they can go swimming. By themselves, John would take 30 minutes and Fred would take 45 minutes. How long would it take to mow the lawn with both working together?
Click here to see answer by ankor@dixie-net.com(6688)

Question 56110: IF A ROCK IS DROPPED FROM A CLIFF INTO AN OCEAN, IT TRAVELS APPROXIMATELY 16t SQUARED FEET IN t SECONDS. IF THE SPLASH IS HEARD 4 SECONDS LATER AND THE SPEED OF SOUND IS 1,100 FT/SEC, APPROXIMATE THE HEIGHT OF THE CLIFF.
Click here to see answer by ankor@dixie-net.com(6688)

Question 56235: During rush hour, Emily can drive 35 miles using the freeway in the same time that it takes to travel 30 miles on the side roads. If Emily'e rate on the freeway is 10mi/h faster than her rate on the side roads, find her rate on the freeway.
Thanks!
ac
Click here to see answer by funmath(2873)

Question 56456: A freight train left a station and traveled at 30 mph. Two hours later, an express train left the same station and traveled in the same direction at 50 mph (on a different track). In how many hours did the express overtake the freight train?
Click here to see answer by ankor@dixie-net.com(6688)

Question 56542This question is from textbook college algebra
: Can anyone help me with this one? thank you.

The height of an object tossed upward with an initial velocity of 104 feet per second is given by the formula h= -16t^2 + 104t, where h is the height in feet and t is the time in seconds. Find the time required for the object to return to its point of departure.This question is from textbook college algebra

Click here to see answer by funmath(2873)

Question 56700: Going to Austin, Bill caught a ride for two-third of the total distance with a friend. He then took a bus for one-fourth of the total distance. He walked the remaining 10 miles to arrive at his destination. What was total distance of his destination?
Click here to see answer by funmath(2873)

Question 56696: You forgot your homework assignment in Dallas. A friend agreed to meet you part way and bring the assignment. You drove 210 miles at an average speed of 20 miles per hour more than your friend, and your friend drove 150 miles. How long did it take for you and your friend to meet?
Click here to see answer by askmemath(368)

Question 56780: A plane flies 500 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 28mph, what is the speed of the plane in still air?
Click here to see answer by Nate(3495)

Question 56890: Two camper vans leave Arrowhead Lake at the same time, one traveling north at a speed of 10 km/h faster than the other, which is traveling south. After 3 hours, the camper vans are 420 km apart. Find their speeds.
Click here to see answer by stanbon(26251)

Question 57055: A plane flies 720 mi. against a steady 30-mi/hr headwind and then returns to the same point with the wind. If the entire trip took 10hrs, what is the planes speed in still air?
Click here to see answer by Scriptor(36)

Question 57169: Two Jets are traveling torward each otherand are 4000km apart. The rate of one jet is 100 km/h faster than the rate of the other. If the jets pass each other after 2.5 hours, what is the rate of the faster jet
Click here to see answer by checkley71(8405)

Question 57201: Suppose you travel north for 65 kilometers and then east for 75 kilometers. How far are you from your starting point? Can you show me step by step how to do this problem and what formula to use.
Click here to see answer by stanbon(26251)

Question 57219: Marla begins walking at 3mi/h toward the library. Her friend meets her at the half way point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many miles did Marla walk?
Click here to see answer by Earlsdon(4898)

Question 57268: ok i worked this problem and got the right answer but only by guessing. I want to know how to set it up so that i can apply it to other problems. Heres the problem: The Jones family drove to Disneyland at 50 mph and returned on the same route at 40 mph. Find the distance to Disneyland if the total driving time was 7.2 hours.
I took the formula D=rt and put distance as unknown so the distance to disneyland is equal to 50mph times 3.2 hours(my guess because it would have taken them less time to travel faster) and distance from disneyland is equal to 40mph times 4 hours(guess) [(3.2+4=7.2)hours] Therefore 50x3.2=160 and 40x4=160 I know from logic that the distance in miles from disneyland and to disneyland has to be equal so the answer to the problem has to be 160. But I dont want to guess, so can you help me set up an equation that will get me the same solution??????
Click here to see answer by Scriptor(36)

Question 57256: Please help! I think this may be missing something, not sure though.
Boat is traveling from A to B at 33mph
Plane is also traveling from same A to B at 605mph.
Plane takes 104 hours LESS to make the trip.
How far apart are A and B.
It does not say if they left at the same time, but have to assume they did.
It does not say for how long either were traveling.
Thanks in advance!
Click here to see answer by Scriptor(36)

Question 56974: Sound travels 5400 feet in 5 seconds. A streak of lightning hits in the distance and edward hears it crash 80 second later. Using the estimate given, how many miles from Edward did the lightning crash? Express your answer as a mixed number. Solve and explain your answer
Click here to see answer by checkley71(8405)

Question 57406This question is from textbook Algebra: Structure and Method
: If Gina leaves now and drives at 66 km/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch first and leaves in 40 minutes, she will have to drive at 90 km/h to make her appointment. How far away is Alton?This question is from textbook Algebra: Structure and Method

Click here to see answer by checkley71(8405)

Question 57408This question is from textbook Algebra: Structure and Method
: A ship must average 22 knots (nautical miles per hour) to make its 10-hour run on schedule. During the first four hours bad weather caused it to reduce speed to 16 knots. What should its average speed be for the rest of the trip to maintain its schedule?This question is from textbook Algebra: Structure and Method

Click here to see answer by funmath(2873)

Question 57407This question is from textbook Algebra: Structure and Method
: An ultralight plane had been flying for 40 min when a change of wind direction doubled its ground speed. The entire tirp of 160 mi took 2 h. How far did the plane trvel druing the first 40 min?This question is from textbook Algebra: Structure and Method

Click here to see answer by checkley71(8405)

Question 57404This question is from textbook Algebra: Structure and Method
: Jan can run at 7.5 m/s and Mary at 8.0 m/s. On a race track Jan is given a 25 m head start, and the race ends in a tie. How long is the track?This question is from textbook Algebra: Structure and Method

Click here to see answer by Paul(988)

Question 57837This question is from textbook College Algebra A Graphing approach
: A cargo plan is flying at an altitude of 30,000 feet and a speed of 540 miles per hour (792 per second. How many feet will a supply crate dropped from the plane travel horizontally before it hits the ground if the path of the crate is modeled by
x = -39,204(y – 30,000)?
This question is from textbook College Algebra A Graphing approach

Click here to see answer by phillv(13)

Question 57977: 90. Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns the driver that there is a train 50 meters from the car heading toward the same crossing. How far is the train from the crossing
Ans: \/50^2-30^2
=\/2500-900
=\/1600
=40 meters
Click here to see answer by jaya_rohith1@yahoo.com(33)

Question 58492: On a 130 mile trip, a car traveled at an average speed of 55 mph and then reduced its speed to 40 mph for the remainder of the trip. The trip took a total of 2.5 hours. For how long did the car travel at 40 mph?
Click here to see answer by ankor@dixie-net.com(6688)

Question 58603: At 10Am, adam started out at 60 kilometers per hour to catch tom , who had a three hour head start. If adam was still 70 kilometers behind at 6 pm, how fast was tom driving?
Click here to see answer by Edwin McCravy(2920)

Question 58613This question is from textbook Elementary Algebra
: Hope someone can help quick - I have a test on Monday and am having terrible difficulty with the story probs.
Here's one problem: "Plane took 1 hr. LONGER to fly 480 AGAINST the wind than it took to fly the same distance WITH the wind. If wind speed is 20 mph, what is the speed of plane in calm air?" I don't know how to figure speed of plane just based on air speed. All I know is distance is 480 both ways and time taken is "x + 1" for against wind and "x" for with wind. Can you help?
This question is from textbook Elementary Algebra

Click here to see answer by Paul(988)

Question 58490: On a 130 mile trip, a car traveled at an average speed of 55 mph and then reduced its speed to 40 mph for the remainder of the trip. The trip took a total of 2.5 hours. For how long did the car travel at 40 mph?
Click here to see answer by checkley71(8405)

Question 58713: Barn painting. Melanie can Saint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5
Click here to see answer by stanbon(26251)

Question 58738: A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the speed of the wind?
Click here to see answer by checkley71(8405)

Question 58777This question is from textbook Elementry and Intermediate algebra
: John can run his boat in the still water at a speed of 15 miles per hour. If he can go 12 miles downstream in the same time as it takes him to go 9 miles upstream, then what is the speed of the water currents? This question is from textbook Elementry and Intermediate algebra

Click here to see answer by checkley71(8405)

Question 58714: Commuting students. At a well know university, ¼ of the undergraduate students commute, and 1/3 of the graduate students comminute. One tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students, then what fraction of commuters drive more than 40 miles daily
Click here to see answer by ankor@dixie-net.com(6688)

Question 58886: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=16t^2+64t+80. How many seconds wil it take to reach ground level?
Click here to see answer by venugopalramana(3286)

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