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Word Problems: Travel and Distance

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Question 162351: Mr. Turner has a motorboat that can travel 14 mph in still water. He wishes to take a trip on a river whose current flows at the rate of 2 mph. If he has 7 hours at his disposal, how many hours should he spend on the first part of his trip going downstream before returning upstream to his starting point?
Click here to see answer by ankor@dixie-net.com(6689)

Question 162377This question is from textbook Algebra and Trigonometry
: please help me solve this word problem:
On the first past of a 317-mile trip, a salesperson averaged 58 miles per hour. he averaged only 52 miles per hour on the last part of the trip because of an increased volume of traffic. the total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speed.This question is from textbook Algebra and Trigonometry

Click here to see answer by scott8148(3382)

Question 162399: Two planes leave chicago one traving due east and the other due west. The first travels 100 miles per hour faster than the second. How long will it be until they are 2000 miles apart.
Click here to see answer by scott8148(3382)

Question 162428: with the current, a sailboat travels 9 km in 3 hrs. however, if it travels against the current, it takes 3 times to sail the same distance. how fast is the boat sailing on still water? how fast does the river flow?
Click here to see answer by checkley77(7032)

Question 162608: Gail and Bill drove to a beach at an average speed of 50mph and returned home over the same road at an average speed of 55mph. The trip home took 30 minutes. How far is the beach from their home?
I know that the distance is 27.5 because I know they traveled 55mph in 30minutes. 55/30 = 27.5. I figured this out by the following:
55/60 = d/30 50/60 = 27.5/t
60d = 1650 50t = 1650
d=27.5 miles t = 33 min
but what they are wanting me to do is put the info in a table that represents
rate times time = distance (r)(t) = (d)
such as
r t d
to the beach 50mph
from beach 55mph 30min
Can you help?
Click here to see answer by stanbon(26252)

Question 162630: Lydia road 243 miles in a three-day bike trip. On the frist day Lydia rode 67 miles. On the second day, she rode 92 miles. How many miles per hour did she average on the thrid day if she rode for 7 hours?"
Click here to see answer by jojo14344(1483)

Question 162663: A MAN ROWED 10 KM UP A RIVER IN 5 HOURS AND BACK IN 21 AND A HALF HOURS. FIND THE RATE OF THE CURRENT AND HIS RATE OF ROWING IN STILL WATER.
Click here to see answer by josmiceli(3003)

Question 162664: During the first part of a trip, a canoeist travels 69 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?
Click here to see answer by josmiceli(3003)

Question 162665: If a pro basketball player has a vertical leap of about 25 inches, what is his hang time? Use the hang-time formula V=48 T^2
Click here to see answer by josmiceli(3003)

Question 162661: WITH THE CURRENT, A SAILBOAT TRAVELS 9 KM IN 3 HRS. HOWEVER IF IT TRAVELS AGAINST THE CURRENT, IT TAKES 3 TIMES TO SAIL THE SAME DISTANCE, HOW FAST IS THE BOAT SAILING ON STILL WATER? HOW FAST DOES THE RIVER FLOW?
Click here to see answer by josmiceli(3003)

Question 162653This question is from textbook beginning and intermediate algebra
: a plane can fly 400 miles downwind in the same amount of time as it can travel 320 miles upwind. If the plane can fly at 360 miles per hour in still air. Find the speed of the wind. I need to revise my examThis question is from textbook beginning and intermediate algebra

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

Question 162799: A cattle train left Miami and traveled toward New York. 14 hours later a diesel train left traveling at 45 km/h in an effort to catch up to the cattle train. After traveling for four hours the diesel train finally caught up. What was the cattle train's average? (The answer is 10km/hr; what is step by step solution)?
Click here to see answer by checkley77(7032)

Question 162798: 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 nerdybill(2446)

Question 162808: A train left Denver bound for Omaha at speed of 80 miles per hour, and at the same time another train left at Omaha bound for Denver at a speed of 100 miles per hour. When the trains passed each other, what fraction of the trip had the train from Denver completed?
Click here to see answer by checkley77(7032)

Question 162811: Two cyclists racing on parrell roads maintain constant speeds of 30 mph and 25 mph. The faster cyclist crosses the finish line one hour before the slower cyclist. How long was the race in miles?
Click here to see answer by checkley77(7032)

Question 162810: A car went 4 miles up a hill at 10 miles per hour and back down the same hill 20 miles per hour. What was the average speed for the round trip?
Click here to see answer by checkley77(7032)

Question 162809: At midnight a train left for Denver bound for Chicago, and another train left Chicago bound for Denver, both traveling at consatent speeds on adjacent tracks. The first train took 12 hours to complete the trip, and the second train took 16 hours to complete the trip. At what time did they passeach other?
Click here to see answer by checkley77(7032)

Question 162812: Five hundred gallons of water leaked from a reservoirat a constant rate of 8 gallons per day. The leak was partially sealed, and a aditional 300 gallons leaked from the reservoir at a constant speed of 5 gallons per day. What was the overall rate of leakage over this time period?
Click here to see answer by jojo14344(1483)

Question 162845: A motorboat took 3 hours to make a downstream trip with a current of 6km/h. The return trip against the same current took 5 hours. Find the speed of the boat in still water.
Click here to see answer by orca(409)

Question 162898: Frank traveled north in his car at 55km/h. Fred traveled south in his car at 35 km/h. After how long will they be 810 km apart?
Click here to see answer by Anthea Lawn(14)

Question 162900: a person traveling 210 km by car drove the first part at 100 km/h and the rest at 80 km/h. If the trip took 2.25 h to complete, what distance was traveled at 100 km/h.
Click here to see answer by ankor@dixie-net.com(6689)

Question 162899: Alicia traveled east on her bike at 7km/h. Alex traveled west on her bike at 5 km/h. If they left the same location at 9 A.M. when will they be 18 km apart
Click here to see answer by checkley77(7032)

Question 163106: two people start from the same point and walk in opposite directions. one person is walking 2/3 mph faster than the other. in 45 minutes they are 5 miles apart. how fast is each person walking?
Click here to see answer by checkley77(7032)

Question 163006: Write and solve an equation for each situation:
3. May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distnce, how fast does each travel?
7. Marla begins walking at 3 mi/h to the library. Her friend meets her halfway point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many hours did Marla walk?
8. Fred begins walking toward John's house at 3 mi/h. John leaves his house at the same time and walks toward Fred's house on the same path at a rate of 2 mi/h. How long will it be before they meet if the distance between the houses is 4 miles?
9. A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will the second train catch up with the first?
10. It takes 1 hour longer to fly to St.Paul at 200 mi/h than it does to return at 250 mi/h. How far away is St.Paul?

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

Question 163337: Kelly rode her bike 3 miles less than twice the number of miles Jon rode. Together they rode 4 miles. How many miles did they each ride?
Click here to see answer by jnb228(4)

Question 163342: If a car had increased its average speed for a 18-mile journey by 5 mph, the journey would have been completed in 30 minutes less. What was the car's original average speed?
Click here to see answer by ankor@dixie-net.com(6689)

Question 163343: Here's my problem:
If you are 'h' feet above the earth's surface, the distance, 'd' that you can see is approximately 'd' (in miles) = the square root of 3h/2.
Suppose you are on the roof of a building 900ft. tall. How far can you see? (Calculate to 2 decimal places.)
Thanks for your help!
Joanne
Click here to see answer by checkley77(7032)

Question 163435: Can you help me solve this problem: A man bicycles 5 mph faster than he can walk. He bicycles 24 miles and walks back along the same route in 11 hours. How fast does he walk?
Click here to see answer by scott8148(3382)

Question 163441: Can you help me solve this math problem: A man can drive a motorboat 45 miles down the Rock River in the same amount of time that he can drive it 27 miles upstream. Find the speed of the current if the speed of the boat is 12 mph in still water.
Click here to see answer by scott8148(3382)

Question 163446: Can you help me solve this problem: A plane that can fly 340 mph in still air can fly 200 miles downwind in the same amount of time that it can fly 140 miles upwind. Find the velocity of the wind.
Click here to see answer by checkley77(7032)

Question 163444: A commercial jet can fly from San Francisco to Dallas in three hours. A private jet can make the same trip in 3.5 hrs. If the two planes leave San Francisco at noon, after how many hours is the private jet twice as far from Dallas as the commercial jet?
Click here to see answer by mathispowerful(115)

Question 163482: Radio waves travel at the same speed as light, 3.0 X 10^8 meters per second. Find the time required for a radio wave to travel from misson control in Houston to NASA astronauts on the surface of the moon 3.86 X 10^8 meters away.
Click here to see answer by Fombitz(2113)

Question 163464: With a head wind, a plane traveled 840 miles northward in 2 hours. With the same wind as a tail wind, the return trip southward took 1 hour and 45 minutes. Find the plane's air speed and wind speed.
Click here to see answer by checkley77(7032)

Question 163598: Noya drives to the city to buy software program at the computer store. Because of traffic she averaged only 15 miles per hour on the way there but averaged 35 miles per hour on the way home. If the total travel time was 2 hours how long does it take her to drive to the computer store.
Click here to see answer by nerdybill(2446)

Question 163603: If I drive a speed of 45mph for 6 miles how long would it take me?
Click here to see answer by nerdybill(2446)

Question 163588: Two cars travel in opposite directions from the same starting point. The rate of one car is 20 miles per hour less that the other car. After 5 hours the cars were 700 mile apart. what was the rate of each car?
Click here to see answer by checkley77(7032)

Question 163586: Two cars travel in opposite directions from the same starting point. The rate of one car is 20 miles per hour less that the other car. After 5 hours the cars were 700 mile apart. what was the rate of each car?
Click here to see answer by checkley77(7032)

Question 163569: There are 2 boats docked on opposite sides of a river. The sides of the river are parallel and the current is negligible. The 2 boats set out to cross the river at the same time, and each maintains a constant rate. They first meet at 800 yards from side 1, then proceed to the opposite side and turn around. Next they meet 300 yards from side 2. How wide is the river? What happens if 800 yards is replaced with D1 and 300 yards is replaced with D2 if both D1 and D2 are assumed to be less than the width of the river?
Click here to see answer by ankor@dixie-net.com(6689)

Question 163589: John travels from his home to the office at a rate of 25 miles per hour. By traveling 5 mile per hour faster, he took 30 less minutes to return home. How far is his office from home?
Click here to see answer by mathispowerful(115)

Question 163448This question is from textbook Algebra 1

: Will you please help me with this problem? This is what I know after reading the problem: R(of Lord Nelson)=2R(Brigantine); D(Brigantine)=D(Lord Nelson) + 30; T(Lord Nelson)=6 hours. The brigantine was sailing at full speed and was 30 miles at sea when Lord Nelson began to give chase at twice the speed of the brigantine. If Nelson caught up in 6 hours, how fast was the brigantine traveling?This question is from textbook Algebra 1

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

Question 163662This question is from textbook
: Two cars start at a given point and travel in the same direction at average speeds of 40 miles per hour and 55 miles per hour. How much time must elapse before the two cars are 5 miles apart?This question is from textbook

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

Question 163701: Ellen and Kate are traveling from the school to the library.
The both left at 3:00 and followed the same path.
Ellen is traveling at 12mph
Kate is traveling at 9mph
Ellen arrives 15 minutes before Kate
What time does Kate arrive?
I tried but couldn't get too far.
Rate (r) Time (t) Distance (d)
Kate 9 MPH t 9t
Ellen 12 MPH t-15 Min 12t-15

Click here to see answer by scott8148(3382)

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