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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 145769: Hello, my problem is:
An aircraft 200 kilometers away is flying toward an air base at 350 kilometers. How long will it take a plane flying from the base at 450 kilmeters per hour to interecept the first aircraft?
My question is:
How do I figure out the formula? Then once I have that, how do I figure the distance, time, and rate?
Click here to see answer by ankor@dixie-net.com(6686)   |
Question 145769: Hello, my problem is:
An aircraft 200 kilometers away is flying toward an air base at 350 kilometers. How long will it take a plane flying from the base at 450 kilmeters per hour to interecept the first aircraft?
My question is:
How do I figure out the formula? Then once I have that, how do I figure the distance, time, and rate?
Click here to see answer by ptaylor(1578)  |
Question 145994: Train A and B are traveking the same directon on parrallel tracks.Train A is traveling 80mph and Train B is traveling 90 mph. Train A passes a station at 4:20 and Train B passes the same stattion at 4:32. How long will it take for train B to catch up with train A? What time will it be?
Click here to see answer by nerdybill(2446)  |
Question 146025: Hi!
This is a off of my homework that I am having problems with. I have done the work, but am unsure if I have done it correctly. Any insight and or corrections would be greatly appreciated!
7) The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet.
a) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.
Typing hint: Type t-squared as t^2
Answer: 16t^2+64t+25
b) How high is the rock after 1 second?
Answer: 105 ft.
Show your work here: 16t^2+64t+25
16(1)^2+64(1)+25
16(1)+64+25
16+64+25
c) After how many seconds will the graph reach maximum height?
Answer: 2
Show your work here: x=-b/2a
a=16, b=64, c=25
x=-(64)/2(16)
x=-64/32
x= -2
d) What is the maximum height?
Answer: (-2,-29)
Show your work here:
y=16t^2+64t+25
y=16(-2)^2+64(-2)+25
y=16(4)-128+25
y=74-128+25
y= -29
Click here to see answer by stanbon(26251)  |
Question 146475: I really need help with this word problem I am just totally stuck and confused. I would appreciate any help out there. Thank you so much. The problem is:
A long distance trucker traveled 168 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 3 hours less to find,the speed going.
Click here to see answer by edjones(3291)  |
Question 146475: I really need help with this word problem I am just totally stuck and confused. I would appreciate any help out there. Thank you so much. The problem is:
A long distance trucker traveled 168 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 3 hours less to find,the speed going.
Click here to see answer by Nate(3495) |
Question 146665: A man in a canoe is paddling upstream. He passes a floating log(going downstream) at the Elk's Lodge. He continues to paddle for 90 more miutes, before turning around to go downsteam. The canoer reaches the log again at the sewer plant which is exactly 1 mile from the Elk's lodge. At what rate is the river flowing?
Click here to see answer by Alan3354(6050)  |
Question 146545: Jennifer traveled at a constant speed on an old road for 160 miles. She then traveled 5 miles per hour faster on a newer road for 90 miles. If she drove for 6 hours, find the car's speed for the part of the trip that was traveled on the new road.
While you might find the speed on the old road in your calculations, do not include that in your answer. Do not include units in your answer.
Click here to see answer by edjones(3291) |
Question 146824: A bus takes 12 hours to travel the same distance that an airplane travels in 1.5 hours. the average speed of the airplane is 120km per hour faster than five times the average speed of the bus . what is the average speed of the bus?
let x represent the speed of the bus
Click here to see answer by 24HoursTutor.com(40) |
Question 146845: A jogger running at 9 mph burns approx. 14 cal. per min. Write a linear equation for the number of calories burned by the jogger in terms of the number of minutes run. Use your equation to find the number of calories burned after jogging for 32 min.
Click here to see answer by 24HoursTutor.com(40) |
Question 146839: If the sum of a number and two is doubled, the result is six less than three imes the number. What is that number?
a)5 b)22 c)2/5 d)10
solve the formula for the specified variable.
a)t=d-r b)t=d/r c) t=r/d d) t=dr
Click here to see answer by Fombitz(2113)  |
Question 146926: A car traveling at 60 mph requires 200 ft to stop. So if it is traveling at 100 mph how many ft does it take to stop. I have tried cross multiplication and keep coming to 333.33 ft. The answer I have for the problem is 556 ft. Please help. Thanks!
Click here to see answer by ptaylor(1578) |
Question 147045: Hi. I am writing is to inform you that I really need help in solving distance word problems. I also will ask you a specific question connected with age word problem. This has nothing to do with home work but I am planning on taking the graduate management admission test (GMAT) probably before the end of this year.
Here are the distance word problems, age word problem and questions connected to these problems:
Problem 1: A 555 mile, 5 hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?
Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.
Here is the part of the equation that I have the question for you:
555-d=115(5-t).
Question 1: I want to know from the above equation, where does this minus "-" sign (555 "-"d=115(5-t) come from? I did read the above distance word problem and I did not see any key words connected with subtration (-). So I need to know where does the (-) come from?
Problem 2: A car and a bus set out at 2pm from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours the car is 20 miles ahead of the bus. Find the rate of the car.
Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.
Here is part of the equation concerning problem 2.
d+20=2(2r-30).
Question 2: I want to know from the above equation, where does this plus "+" sign (d"+"20=2(2r-30) come from? I did read the above distance word problem and I did not see any key words connected with addition (+). So I need to know where does the (+) come from?
Age Word Problem
I noticed this equation with the solution from an age word problem:
H/2+1+H/3-1=20
H/2+H/3=20
3H+2H=120
5H=120
H=24
Question 3: I want to know from the above equation with the solution where does the 120 come from?
Here is the last question:
I solved this equation and I need to know if it is correct:
2r + 20 = 4r - 60
4r - 60
2r + 20
________
2r - 40
-- -- r = -20
2r 2r
The answer is -20. Am I correct?
Thank You.
Note: The above word problems come from a source other than a textbook. It is from a website (www.purplemath.com)
Click here to see answer by 24HoursTutor.com(40) |
Question 147058: Suppose Charlie O' Brian hits a baseball straight upward at 150 ft/sec from a height of 5 ft. Use the formula to determine how long it takes the ball to return to the earth. Use the graph on the next page to estimate the maximum height reached by the ball.
Click here to see answer by ankor@dixie-net.com(6686) |
Question 147094: Brian and Jake left their homes, which are 500 miles apart, and drove straight toward each other. It took 4 hours for the two to meet. If Jake's speed was 15 mph slower than Brian's speed, what was Brian's speed?
Click here to see answer by nerdybill(2446) |
Question 147112: Alan and Dave leave from the same point driving in opposite directions, Alan driving at 55 miles per hour and Dave 65 mph. Alan has a one hour head start. How long will they be able to talk on their car phones if the phones have a 250-mile range?
Click here to see answer by giveback(3) |
Question 147112: Alan and Dave leave from the same point driving in opposite directions, Alan driving at 55 miles per hour and Dave 65 mph. Alan has a one hour head start. How long will they be able to talk on their car phones if the phones have a 250-mile range?
Click here to see answer by josmiceli(3003) |
Question 147121: a man rode a bicycle for 12 miles and then hiked an additional 8 miles The total time for the trip was 5 hours If his rate when he was riding the bicycle was 10 miles per hour faster than his rate walking, what was each rate?
Click here to see answer by josmiceli(3003) |
Question 147156: A widow received 1/3 of her husband's estate,and each of her three sons recieved 1/3 of the balance.if the widow and one of her sons recieved a total of 60,000 from the estate,what was the amount of the estate?
Click here to see answer by Nate(3495) |
Question 147193: Susan and Joan are diving forgolf balls in a large water trap.Susan recovers a golf ball every 0.016 hour while Joan recovers a ball every 0.025 hour. If both are working, then at what rate ( in golf balls per hour) are they recovering golf balls?
Click here to see answer by nerdybill(2446) |
Question 147231This question is from textbook algebra
: I don't know how far I am with the answer, but I got 28 feet.
The question is: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet.
Please and Thank you=)This question is from textbook algebra
Click here to see answer by josmiceli(3003) |
Question 147255: A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B.If the rate of flow through A is 2 gallons per hour,how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?
Click here to see answer by nerdybill(2446) |
Question 147257: A farmer has 2 rectangular fields.The larger field has twice the length and 4 times the width of the smaller field.If the smaller field has area K , then the area of the larger field is greater than the area of the smaller field by what amount?
Click here to see answer by josmiceli(3003) |
Question 147261: A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B.If the rate of flow through A is 2 gallons per hour,how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?: A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B.If the rate of flow through A is 2 gallons per hour,how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours? the answer in the book is 4/3 and i don't know how to get this answer would you please explain it.
Click here to see answer by ankor@dixie-net.com(6686) |
Question 147267: THE ANSWER OF THIS PROBLEM IS 4/3 ACCORDING MY ANSWER SHEET BUT I HAVE NO IDEA HOW TO GET THIS PLEASE HELP ME.A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B.If the rate of flow through A is 2 gallons per hour,how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?: A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B.If the rate of flow through A is 2 gallons per hour,how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?
Click here to see answer by ptaylor(1578) |
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