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Word Problems: Travel and Distance

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Question 79144This question is from textbook
: Marine travel. Sandy's tugboat moves at a rate of 10 mph in still water. It travels 24 miles upstream and 24 miles downstream in a total time of 5 hours. What is the speed of the current?This question is from textbook

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

Question 79167: In a car race, Car A starts 1 mile behind Car B. Car A is traveling 65 miles per hour, while Car B is traveling at 55 miles per hour. How long will it take for Car A to overtake Car B.
Click here to see answer by checkley75(3666)

Question 79166: A boat moves 9 kilometers upstream in the same amount of time it moves 16 kilometers downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat still in the water.
Click here to see answer by checkley75(3666)

Question 79165: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains.
Click here to see answer by checkley75(3666)

Question 79164: A cyclyist bikes at a constant speed for 20 miles. He then returns home at the same speed but takes a different route. His return trip takesone hour longer and is 25 miles. Find his speed.
Click here to see answer by checkley75(3666)

Question 79228: the distance between Milwaukee and boston is 1050 mi. on a certain map, this distance is represented by 42 in. on the same map, seattle and cincinnati are 92 in. what is the actual distance between seattle and cincinnati.
Click here to see answer by Edwin McCravy(2920)

Question 79253: The intensity of light and sound both vary inversely as the square of their distance from the source.
1. Suppose you're relaxing one evening with a copy of Twelth Night, and the reading light is placed 5 ft. from the surface of the book. At what distance would the intensity of the light be twice as great?

2. Tamino's Aria is playing in the background, with the speakers 12 ft away. At what distance from the speakers would the intensity of sound be three times as great?
Click here to see answer by ankor@dixie-net.com(6688)

Question 79382: A plane flies 480 miles with the wind and 320 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 checkley75(3666)

Question 79678: The 5th little [iggy ran all the way at two different rates. First he ran at 8mph for the first third of the trip but soon got tired and slowed down to 5mph for the rest of the two mile trip. Find how many minutes it took the little piggy to get home.
Click here to see answer by ankor@dixie-net.com(6688)

Question 79682: The Rope Around the Earth Puzzle: Imagine a rope tied around the Earth’s equator like a ring on a person’s finger. Now imagine lifting off this very long rope, cutting it somewhere so as to stitch into it exactly one meter of extra rope. Then imagine placing this longer rope back around the Earth at the equator. Since it is longer than the original rope by just one meter, a gap between the rope and the Earth’s surface will form all the way around. How large is the gap that is formed?
Click here to see answer by stanbon(26251)

Question 79790: Find the slope of the line through the following pairs of points
(-5,-3)and (-5,2)
Click here to see answer by jim_thompson5910(13785)

Question 79790: Find the slope of the line through the following pairs of points
(-5,-3)and (-5,2)
Click here to see answer by tutor_paul(424)

Question 79803: I have tried to remember how to count the points given. and I cannot could you please help me. The questions asks Two points are shown. find the slope of the line through the given points. How do I find out how many points are given. When the questions says points given do that always mean only 2 points will be given. I am totally confused please help
Click here to see answer by rapaljer(3610)

Question 79802: I have tried to remember how to count the points given. and I cannot could you please help me. The questions asks Two points are shown. find the slope of the line through the given points. How do I find out how many points are given. When the questions says points given do that always mean only 2 points will be given. I am totally confused please help
Click here to see answer by rapaljer(3610)

Question 80073: Tom can walk 3.5 miles per hour; how long will it take him to travel 3.6 kilometers?
Click here to see answer by Edwin McCravy(2920)

Question 80075: I need help to solve this problem
Two ships leave port at the same time, one heading due south and the other heading due east. Several hours later, they are 170 miles apart. If the ship traveling south traveled 70 miles farther than the other ship, how many miles did they each travel?
Click here to see answer by stanbon(26251)

Question 80004: please help,
A child in an airport is able to cover 372 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 165 meters in 3 minutes. What is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk?

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

Question 80012: Please Help,

A child in an airport is able to cover 372 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 165 meters in 3 minutes. What is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk?
Click here to see answer by ankor@dixie-net.com(6688)

Question 80361: Tom walked to the meeting at 2 miles per hour and caught a ride home in an old truck at 10 miles per hour. How far was it to the meeting place if his total travel time was 18 hours?
Click here to see answer by stanbon(26251)

Question 80424: Driving down a mountain. Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi orizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by stanbon(26251)

Question 80682: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by bucky(1732)

Question 80688: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by ptaylor(1578)

Question 80784:

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Question 80784:

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Question 80621: A rocket is launched straight up into the air from the ground with an initial speed of 64 ft/s. The height of the rocket (in feet) is given by the equation: h = 16t squared + 64t, where t is the time in seconds after launch. Find the time(s)when the rocket is at the ground level.
Click here to see answer by ankor@dixie-net.com(6688)

Question 80830: Two vagabonds who are 200 miles apart travel towards each other. If they start at 2 p.m. and meet at 6 p.m., and one vagabond is traveling 10 miles per hour faster than the other, what are the speeds of both vagabonds?
I tried using rate x time = distance like our teacher said, and this is what i got::
((Vagabond A, Vagabond B))
..........(r)........(t)..=..d
A........x
B........x+10
total................4h.....200mi
Then i divided 200 by 4 and got 50, so I got 50 mph and 60 mph... am I right?
Thank You!
Jamie
Click here to see answer by bucky(1732)

Question 81264: A car uses 3 gallons of gasoline on a trip of 39 miles. At that rate, how much gasoline will a trip of 65 miles require?Help me please?
Click here to see answer by checkley75(3666)

Question 81421: I don't know if I am putting this in the right area but I need your help I can not do this I have been trying for ever please help me?
The height h in feet of an object after t seconds is given by the function
h=-16t^2+90t+3
How long will it take the object to hit the ground? round your answer to the nearest thousandth.
Click here to see answer by scott8148(3382)

Question 81580: a car traveled at an average rate of 40 mph and then reduced its average rate to 30mph for the rest of the trip. if the 180 mile trip took five hour, determine how long the car traveled at each rate.
Click here to see answer by checkley75(3666)

Question 81788: The Hudson River flows at a rate of 3mph. A patrol boat travels 60 mi upriver and returns in a time of 9 hr. What is the speed of the boat in still water?
Click here to see answer by Edwin McCravy(2920)

Question 81850: A consultant traveled 10 hours to attend a meeting. The return trip took only 9 hours because the speed was 7 moles per hour faster. What was the consultant's speed each way?
Now, correct me if I am wrong, but wouldn't I also need a distance traveled in order to find the speed each way?
Click here to see answer by Earlsdon(4898)

Question 81907: 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.
A) 38 B) 36 C) 27 D) 29
Click here to see answer by stanbon(26251)

Question 81960: At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 50 mi/hr. Two hours later, a second truck leaves along the same route, travelling at 75 mi/hr. When will the second truck catch up to the first?
Click here to see answer by ptaylor(1578)

Question 82051: going skiing leon drove 270 miles to the lodge in the same time as pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than leon, then how fast did each of them drive.
Please give step by step instructions
Click here to see answer by ptaylor(1578)

Question 82011: the speed of an airplane in still air is 224km/h. the plane travels 716 km against the wind and 1904 km with the wind in a total time of 12 hr. what is the speed of the wind?
Click here to see answer by ptaylor(1578)

Question 82147: the speed of an airplane in still air is 257 mph. the plane travels 570 mi against the wind and 1780 with the wind in a total time of 9 hr. what is the speed of the wind?
Click here to see answer by stanbon(26251)

Question 82313: two trains left the same station at the same time and traveled in opposite directions. the E train avereged 130km/hr. The A train's speed was 110km/h. In how many hours were hey 480km apart?
Click here to see answer by checkley75(3666)

Question 82312: a train left a station traviling 100km/hr. a second train left 2 hr later and headed in the same direction at 125km/hr. After how many hours did the second train overtake the first train?
Click here to see answer by checkley75(3666)

Question 82311: leroy started his car at the rate of 50km/hr. one hour later, tina left from the same point driving along the same road at 75 km/h how long did it take her to catch up with leroy?
Click here to see answer by stanbon(26251)

Question 82309: two cars traveled in opposite directions from the same starting point. The rate of one car was 15km/h faster than the rate of the other car. After 2hr, the cars were 240 kn apart. find each car's rate?
Click here to see answer by ptaylor(1578)

Question 82910: a boat can travel 9 miles up a river in the same ammount of time it takes to travel 11 miles down the same river. if the current is 2 miles per hour, what is the speed of the boat in still water?
Click here to see answer by checkley75(3666)

Question 82933: If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph
Click here to see answer by erimir(14)

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