Questions on Word Problems: Travel and Distance answered by real tutors!

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Question 203774: This will use distance velocity and time and will require 2 equations
I bicycle at 20 mph and leave the starting point at 8 AM
My buddy drives at 40 mph and leaves the starting point at 10 AM following me
How far have I gone when he catches up and how much time has passed
I got the answer as, I will have traveled 80 miles and 4 hours will have passed, but I would like to see it in a formula, so I can understand the algebra formula

Click here to see answer by scott8148(6628)

Question 203758: Please help me solve, Iam unsure how to set up the problem... it shows in the book but I cannot understand the explanation

#6. If a car travels 1/100 kilometer each second, how many kilometers does it travel in an hour?

I tried this 1/100*120 seconds... this is not right, I dont understand why.
Click here to see answer by stanbon(57347)

Question 203792: If I drive x mph for t hours and then y mph for 2t hours. Then what is expression for the average speed.

Click here to see answer by stanbon(57347)

Question 203795: A boat went up the stream for 1/4 of the distance at 4 mph, then another 1/4 at 2 mph and the rest at 8 mph. What was her average speed?
Click here to see answer by RAY100(1637)

Question 203885: A rocket was fired up at a speed of 5000km/h. but after going up 10 km , it fell back at the speed of 200 km/h . what was its average speed over the round trip ?
Click here to see answer by Alan3354(30993)

Question 204027: With a tail wind, a plane traveled 300 mi in 5 hours. With a head wind, the plane traveled the same distance in 8 hours. Which system of equations could be used to solve this problem? (Let s be the speed of the plane and w be the tailwind.)
Click here to see answer by scott8148(6628)

Question 204043: On a 100-mile trip,a family drove for 1 hour at 50 mph and then the rest at 60 mph. What was the average speed of the trip?
Click here to see answer by stanbon(57347)

Question 204079: If I drive x mph for t hours and then y mph for 2t hours, what is the expression for average speed?
Click here to see answer by stanbon(57347)

Question 204110: A hare is 30 meters in front of a hound., and he runs 3 meters while the hound runs 6 meters, how many meters must the hound run to catch the hare?
Click here to see answer by RAY100(1637)

Question 204115: I am driving away from point A at a speed of 30 mph, my friend is driving in the opposite direction also at a speed of 30 mph.How far away from point A is my friend and I in half an hour?
Click here to see answer by Alan3354(30993)

Question 204108: Gone fishing. 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?

Thank you for your help
Click here to see answer by ankor@dixie-net.com(15652)

Question 204127: An aircraft carrier made a trip to guam and back. The trip there took three hours and the trip back took four hours. It averaged 6km/h. Find the average speed of trip?
I think it is 6.72km/h
Click here to see answer by Alan3354(30993)

Question 204113: A pony is 40 jumps ahead of the horse, and takes 3 jumps while the horse takes 2 ,but 2 of the horse's jumps equal 4 of the pony's; in how many jumps while the horse catch up to the pony?
Click here to see answer by RAY100(1637)

Question 204111: A thief is 20 steps ahead of a cop , and takes 6 steps while the cop takes 5, but 5 of the cop's steps equal 8 of the thief's; how far will the thief run before he is caught?
Click here to see answer by ankor@dixie-net.com(15652)

Question 204241: I am driving towards a town at a speed of 50 mph. My friend is also driving towards the town from the opposite direction at a speed of 45 mph. How far is the distance between us decreasing?
Click here to see answer by Alan3354(30993)

Question 204258: A woman rides her bike 5 miles in 2 hours. At this rate, how far can she travel in 7 hours?
Click here to see answer by Earlsdon(6287)

Question 204259: A boat can travel 14 miles upstream in the same amount of time it takes to travel 21 miles downstream. If the current is 2 miles per hour, what is the speed of the boat in still water?
Click here to see answer by Earlsdon(6287)

Question 204392: A freight train leaves a station travelling at 30 mph A passenger train leaves 1 hours later travelling at 50 mph. At what time will the passenger train overtake the freight train?
Click here to see answer by checkley77(12569)

Question 204382: You are walking across a rail bridge, and are 3/8 of the way across.

You hear a train approaching behind you at 60 miles per hour.

You do some quick calculation, and you realize that you can either run back or forward, and either way, you can make it to the end of the bridge and get off the tracks, just in time to avoid getting hit by the train. That is, you will get to the end of the bridge (either behind you or in front of you) the exact same time as the train.

What is your running speed?

Click here to see answer by ankor@dixie-net.com(15652)

Question 204385: A Jet can travel at a rate or 525 miles per hour in calm air. Traveling with the wind, the plane flew 1815 miles in the same time that it flew 1335 miles against the wind. Find the rate of the wind.
Click here to see answer by stanbon(57347)

Question 204339: An aircraft carrier made a trip to Guam and back. The trip there took three hours and the trip back took four hours. It averaged 6 km/h on the return trip. Find the average speed of the trip
Click here to see answer by ankor@dixie-net.com(15652)

Question 204492: A car travels 55 miles per hour and a plane travels 15 miles per minute. How far does the car travel when the plane travels 500 miles?
Click here to see answer by alicealc(281)

Question 204476: on a certain map, 2.5 in. represents 10mi. How many miles would be represented by 12in.
Click here to see answer by sowmya(32)

Question 204543: Two vehicles are moving with 50 mph and 65 mph in same direction .After 5hrs what is the distance between the two vehicles?
Click here to see answer by jojo14344(1512)

Question 204475: A bus and a cyclist leave a school at 8 am and head for a stadium 90mi away. The rate of the bus is three times the rate of the cyclist. The cyclist arrives 4h after the bus. Find the rate of the bus
Click here to see answer by alicealc(281)

Question 204655: A truck leaves a hotel at 45 mph to go to the airport which is exactly 1 hour away. When it is half way there,a taxi starts from a hotel starting at 50 mph for the airport. How far is the taxi from the airport when the truck reaches the airport?
Click here to see answer by Alan3354(30993)

Question 204638: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 9ft less than the length of the ladder. How high up the side of the building is the top of the ladder if the distance is 2ft less than the length of the ladder?
Click here to see answer by alicealc(281)

Question 204851: how fast (how many mph) does A need to drive to travel 2385 miles in 48 hours
Click here to see answer by rfer(12660)

Question 204814: Two cyclists start biking from a trails start 3 hours apart. the second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist caches up with the first from the time the second cyclist started biking?
Click here to see answer by ankor@dixie-net.com(15652)

Question 204972: if you travel 250 miles in 2 hours and 25 minutes how fast are you going in mph?
please show calculation
Click here to see answer by rfer(12660)

Question 205033: A woman at a point on the shore of a circular lake with radius 2 miles wants to arrive on the exact opposite side of the lake in the shortest possible time. She can walk 4mph and row a boat 2mph. How should she proceed?
Click here to see answer by ankor@dixie-net.com(15652)

Question 205040: After being shot into the air, the height of a rocket is h=80t-16t^2 where h is the height above the ground, in feet, after t seconds. After how many seconds will the rocket be at a height of 96 feet?
Click here to see answer by Alan3354(30993)

Question 205065: Boating on the lake The Clarke family went sailing on a lake. their boat averaged 6 kilometer per hour. the Rourke family took their outboard runabout for a trip on the lake for the same amount of time. their boat averaged 14 kilometers per hour. the Rourke traveled 20 kilometers farther than the Clarke family. how many hours did each family spend on their boat trip?
unsure how to even start on this never understand word problems.
Click here to see answer by stanbon(57347)

Question 205111: I am an online college student. The name of my book is Blitzer College Algebra 5th edition. This is a student's solution manual. The author is Prentice Hall/Pearson.
Please help with this problem. I did get part of the solution, but I am not sure how to get the last two parts. This is the problem and what I have so far.
The path of a falling object is given by the function s=-16t+vot+so where vo represents the initial velocity in ft/sec and so represents the initial height.The variable t is time in seconds, and s is the height of the object in feet.
a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top os a 40-foot building, write the height equation using this information.
answer: s=-16t^2+32t+40
b) How high is the rock after 0.5 seconds?
answer: 52 feet solution: s=-16(0.5)^2+32(0.5)+40
s=-16(0.25)+32(0.5)+40
s=-4+32(0.5)=40
s=-4+16+40
s=12+40
s=52 feet
These next two questions pertain to the same problem, but I am not sure how to get the equations that need to find my answers.
c) After how many seconds will the rock reach maximum height?
d) What is the maximum height?
Your help will be greatly appreciated. Thank you, Rae
Click here to see answer by Alan3354(30993)

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