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Word Problems: Travel and Distance

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Question 159873: hi guys need your help again with this one.
dave can hike on level ground 3 miles an hour faster than he can on uphill terrain. yesterday, he hiked 41 miles, spending 2 hours on level ground and 5 hours on uphill terrain. find his average speed on level ground.
Click here to see answer by ankor@dixie-net.com(6689)

Question 159792: two automobiles travel at the rate of 50kph and 30kph respectively. the faster travels 2 hours more than the other and goes 140 kilometers farther. find the distance traveled by each.
Click here to see answer by ankor@dixie-net.com(6689)

Question 159809: A 6-passenger plane cruises at 180 mph in calm air. If the plane files 7 miles with the wind in the same smount of time as it flies 5 miles against the wind, then what is the wind speed?
Click here to see answer by ankor@dixie-net.com(6689)

Question 159954This question is from textbook integrated algebra 1
: How many miles dis Msr. McCarthy travel if she drove30 miles per hour for 3/4 hour and 55 miles per hour for 1 1/2 hours? This question is from textbook integrated algebra 1

Click here to see answer by Letmo(3)

Question 159963This question is from textbook Algebra 1
: At 10:00 am a car leaves a house at a rate of 60mi/hr. At the same time, another car leaves the same house at a rate of 50mi/hr in the opposite direction. At what time will the car be 330 miles apart?This question is from textbook Algebra 1

Click here to see answer by jojo14344(1483)

Question 159973: A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The distance s (in feet) from the ground after t seconds is s = 144 + 128t -16t2. After how many seconds will the ball pass the top of the building on the way down?
Click here to see answer by KnightOwlTutor(292)

Question 159939This question is from textbook Algebra 2
: Brandon goes on a ACaub Scout hike and hikes to a waterfall in 3 hours and hikes back along the same route to the compground in 2 hours. If the hiking rate is 1mph faster returning than going, how fast are the boys hiking each way?This question is from textbook Algebra 2

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

Question 159984: If Tommy bikes 2.55 x 10(negative 2 square) miles in 15 seconds, how many miles will he travel if he bikes consistantly for a week (no breaks)?
Your answer will be graded using the Delaware State Testing Rubric
(4,3,2,1, or 0).
Click here to see answer by checkley77(7032)

Question 160035: Two cars leave at the same time traveling in different directions. One goes North at 6 mph and the other goes west at 8mph. How far apart are they after 4 hrs.
Click here to see answer by checkley77(7032)

Question 160039: Two cars leave at the same time traveling in different directions. One goes North at 6 mph and the other goes west at 8mph. How far apart are they after 4 hrs.
(6*4)^2+(8*4)^2=d^2
24^2+32*2=d^2
576+1024=d^2
1600=d^2
d=sqrt1600
d=40 miles is the distance between two cars after 4 hours

Where did the (2) come from in this answer?
Click here to see answer by KnightOwlTutor(292)

Question 160056: Mary is running to school. She leaves home at 7:00 am trotting at a speed of 12 mph. Her little lamb leaves home at 7:15 am running after her at a speed of 17 mph. What time of the day will the lamb catch Mary? Round your answer to the nearest minute.
Click here to see answer by ankor@dixie-net.com(6689)

Question 160112: An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s (in meters) of the object from the ground after t seconds is s = -4.9t^2 + 20t.
(a) When will the object be 15 meters above the ground?
(b) When will it strike the ground?
(c) Will the object reach a height of 100 meters?
Click here to see answer by stanbon(26252)

Question 160148: A man drives 108 km at an average rate. If he had driven 5 km/hr. faster, he would have made the trip in 15 hours less time. How fast did he drive?
Click here to see answer by ptaylor(1578)

Question 160228: john is traveling to a meeting that is 28 miles away.he needs to be there in 30 minutes.how fast does he need to go to make it on time
Click here to see answer by edjones(3291)

Question 160125This question is from textbook College Algebra
: A boat has a speed of 5 mph in still water. The boat can travel 21 miles with the current in the same amount of time it takes to travel 9 miles against the current. Find the rate of the current.This question is from textbook College Algebra

Click here to see answer by ptaylor(1578)

Question 160158: Hi-I was trying to help my 6th grader with his math homework. Many years since I have done any, the problem was from a work sheet. A Frog is in a 10 foot well, climbs 3 feet during the day and slides back 2 feet at night. At what point will the frog make it to the 10 foot level and be able to crawl out? I thought the answer would be 8 days, but I did not have a formula to use. Would you please help out a frustrated dad?? Thanks for your time.
Click here to see answer by stanbon(26252)

Question 159972: A boat heads upstream a distance of 30 miles on the Mississippi river, whose current is running at 5 miles per hour. If the trip back takes an hour less, what was the speed of the boat in still water?
Click here to see answer by ankor@dixie-net.com(6689)

Question 160395: A boat is 10 miles from a harbor traveling east at 25 miles per hour. A second boat leaves the harbor traveling east at 35 miles per hour. How long will it take the second boat to catch up to the first boat?
I have used the following formula: 35x=25x+10
10x=10
x=1
I am not sure that the formula is correct. I know that D1=D2, but shouldn't 25 be multiplied by both x and 10? Please help! I am not sure if I am setting the problem up correctly!
Click here to see answer by KnightOwlTutor(292)

Question 160404: A car travels a 1 mile track at an average speed of 30 miles per hour. At what average speed must the car travel the next mile so that the average speed for the 2 miles is 60 miles per hour?
How do you set this problem up to solve it? My teacher said that it is not possible to average 60 miles per hour, but I do not understand why or even how to try to set this problem up. This problem comes from a handout and not a text book, and we are charged with finding the formula and are given the answer. If the car was going 30mph for 1 mile, then if the car traveled 90mph for the second mile, than wouldn't the 2 speeds added together and divided by 2 average out to be 60mph? Please help! I really hate word problems, and it has been 22 years since I have had to do them!
Click here to see answer by nerdybill(2446)

Question 160605: the average discharge at the mouth of the amazon river is 4400000 cubic feet per seconf. how much wather is discharged from the amazon river in one hour? in one year?
Click here to see answer by jojo14344(1483)

Question 160629This question is from textbook technical mathematics with calculus
: Spacecraft A is over Houstion at noon on a certain day and traveling at a rate of 275 km/h. Spacecraft B, attemting to overtake and dock with A, is over Houston at 1:15pm and is traveling in the same direction as A, at 444 km/h. At what time will B overtake A? At what distance from Houston?This question is from textbook technical mathematics with calculus

Click here to see answer by checkley77(7032)

Question 160637: Paul and John are riding bicycles on the same path and in the same direction. Paul is going 5 mph and passes a lemonade stand at 12:00 noon. John is going 7 mph and passes the same lemonade stand at 12:12. What time does John catch Paul? How far are they from the lemonade stand then?
I'm very confused, I can't seem to find a starting point to put this word problem into an equation. If I could just have help laying out the equation, I think I could solve the problem. Thank you
Click here to see answer by checkley77(7032)

Question 160640: Jones can run around a 400-meter track in 65 seconds. How long does Smith take to run the 400 meters if he meets Jones in 35 seconds after they start together in a race around the track in opposite directions?
Not sure how to set up the equation for this problem.
Click here to see answer by checkley77(7032)

Question 160644: Two cars leave town at the same time going in opposite directions. One travels 55 mph and the other travels 48 mph. In how many hours will they be 206 miles apart?
Click here to see answer by checkley77(7032)

Question 160638: A messenger, traveling at a speed of 65 mph, pursues a truck which has a headstart of 2 hours and overtakes the truck in 3 hours. Find the speed of the truck.

Click here to see answer by checkley77(7032)

Question 160682: In a horse race, Snail is 44 feet behind Cat. While Cat is racing at a steady spped of 48 feet per second. Snail has sped up to 56 feet per second. At these speeds how long will it take for snail to catch up to Cat?
I Know "t*r=d" but how does it apply to this?
Click here to see answer by ankor@dixie-net.com(6689)

Question 160643: A plane flew a distance of 1555 miles in 5 hours. During the first 3 hours of the flight, it flew with a wind a distance of 975 miles. During the remainder of the flight, the plane flew against a wind whose average was 5 mph less than what it had been during the first part of the flight. Find the rate of the plane in still air and the original speed of the wind.
Some helpful equations:
r= the rate in still air
c= the rate of the air current
r+c= rate traveling with the current
r-c= rate traveling against the current
Click here to see answer by ankor@dixie-net.com(6689)

Question 160742This question is from textbook
: at 10:00am a car leaves a house at a rate of 60mi/h. at the same time, another car leaves the same house at a rate of 50mi/h in the opposite direction. at what time will the cars be 330 miles apart?This question is from textbook

Click here to see answer by Edwin McCravy(2920)

Question 160899: $5.82/L is ________ cents/mL
Click here to see answer by jojo14344(1483)

Question 160740This question is from textbook
: a train leaves the station at 6:00pm traveling west at 80 mi/h. on a parallel track, a second train leaves the station 3 hours later traveling west at 100mi/h. at what time will the second train catch up with the first?This question is from textbook

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

Question 160932: Question: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Here's what i've done, but i'm not sure if it is correct.
d=rt
600=(x-1)20
600=20x-20
+20 +20
620=20x (i divided both sides by 20)
31=x
Click here to see answer by scott8148(3382)

Question 161050: In a family there are 2 cars in a given week, the first car gets a average of 40 miles per gallon, and the second car gets 30 miles per gallon. the two cars combined drive a total of 1800 miles in that week, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?
Click here to see answer by ptaylor(1578)

Question 161060: Two cars leave the same town at the same time going the same direction. One travels 54 miles per hour and the other travels 66 miles per hour. In how many hours will they be 45 miles apart?
Click here to see answer by checkley77(7032)

Question 161162This question is from textbook Crossing the River with Dogs
: Hilary rode her horse for 8 miles until it was hurt.Then she walked back home to call a vet. She figures the horse wals twice as fast as she does. the whole trip took 4 hours, so how fast would Hilary have to walk?This question is from textbook Crossing the River with Dogs

Click here to see answer by KnightOwlTutor(292)

Question 161125: At 9:30AM Andrew left Exeter for Portsmouth cycling at 12mph. At 10:00AM Stacy left Portsmouth for Exeter cycling at 16mph. The distance for Exeter to Portsmouth is 20miles. Find the time they met.
My thoughts- 20= 12 x T
8 = T so,....
20 = 16 x .50T
20= 16 x 4 NOPE!!!

Click here to see answer by Fombitz(2113)

Question 161248This question is from textbook Pre-algebra
: A scuba diver descended to a depth of 75 meters below sea level. He then rose 30 meters to a coral reef. What integer represents the position of the coral reef with respect to sea level ?This question is from textbook Pre-algebra

Click here to see answer by KnightOwlTutor(292)

Question 161273This question is from textbook Algebra 1

: An express train travels 80 kilometers per our from Ironton to Wildwood. A local train traveling at 48 Kilometers per hour, takes 2 hours longer for the same trip. How far apart are Ironton and Wildwood?This question is from textbook Algebra 1

Click here to see answer by jojo14344(1483)

Question 161279This question is from textbook algebra i

: one type of antifreeze is 40% glycol, and another type of antifreeze is 60% glycol. How much of each kind should be used to make 100 gallons of antifreeze that is 48% glycol?This question is from textbook algebra i

Click here to see answer by vleith(1977)

Question 161270: Cathy traveled by boat 4 miles upstream to fish. Because of the 5mph current it took her 40 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)

Question 161246This question is from textbook Pre-algebra
: Brian travels south on his bicycle riding 8 miles per hour. One hour later, his friend Maya starts riding her bicycle from the same location. If she travels south at 10 miles per hour, how long will it take her to catch Brian ?This question is from textbook Pre-algebra

Click here to see answer by checkley77(7032)

Question 161321This question is from textbook Algebra
: Kwan hiked uphill at 4km/h and back down at 6km/h. His total hiking time was 3h. how long did the trip up the hill take him?This question is from textbook Algebra

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

Question 161343: 1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level)
ii. The top of Mt McKinley (20,320 feet above sea level)
Hint for this assignment: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.

Click here to see answer by schrammbledeggs(41)

Question 161342: 1. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.

Click here to see answer by schrammbledeggs(41)

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