Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 264770: At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.80 m/s^2. At the same instant, a truck, traveling with a constant speed of 14.7 m/s, overtakes and passes the automobile.
How far beyond its starting point does the automobile overtake the truck?
How fast is the automobile traveling when it overtakes the truck?
Click here to see answer by Alan3354(69443)   |
Question 264834: A single automobile is used to make two trips. The first trip took 5 hours and 39 minutes to complete, and consumed 10.11 gallons of fuel. During this trip, the vehicle travelled 215 miles at “highway speeds” and 78 miles at “city speeds.” The second trip took 7 hours and 37 minutes to complete, and consumed 12.5 gallons of fuel. During this trip, the vehicle traveled 183 miles at “highway speeds” and 156 miles at “city speeds.”
1. What is the overall, average fuel efficiency (MPG) for each of these trips? 2. What is the overall, average speed (MPH) for each of these trips? 3. What is the average fuel efficiency at “highway speeds?” 4. What is the average speed at “highway speeds?”
5. What is the average fuel efficiency at “city speeds?” 6. What is the average speed at “city speeds?”
Click here to see answer by Theo(13342)  |
Question 265053: A train travels 315 miles across the plains in the same time it travels 175 miles in the mountains. If the rate of the train is 40 miles per hour slower in the mountains, find both the rate in both the plains and mountains.
That is the question, would you be able to help me organize all of this information to solve it?
Click here to see answer by ptaylor(2198)  |
Question 264958: Fifteen minutes after a boy left for school on his bike, his mother noticed that he left his term paper on the kitchen table. His mother left home, driving at a rate of 32 mph, to catch up to him. If he had been bicycling at a rate of 8 mph, how long did it take his mother to catch up with him?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 265146: A car travels 330 miles in 6 hours. It travels at 50 mph for the first two hours and travels the last 180 miles at 60 miles per hour. It travels at constant speed for the remaining time.
Let x be the time traveled at the unknown constant speed.
The total itme for the trip was 6 hours so:
6 = time traveled at 50 mph + time traveled at 60 mph + time traveled at x mph.
(a) How long did it take to travel the first 150 miles? (hours)
(b) Where was the car after 3 hours? (miles from the start)
I thought the answer would be 100 (first two hours) plus 5/6 (50 min/60 min) since the second speed is traveling 60 miles, but we only want 50 of them, so the total would be 2+5/6 hours; but that wasn't right.
For the second part I thought it would be 100+60=160 for the first 2 hours (100 miles) + one more hour of 60mph, which would add 60. This wasn't right either.
Any help would be great I'm really confused! Thanks!
Click here to see answer by palanisamy(496) |
Question 265146: A car travels 330 miles in 6 hours. It travels at 50 mph for the first two hours and travels the last 180 miles at 60 miles per hour. It travels at constant speed for the remaining time.
Let x be the time traveled at the unknown constant speed.
The total itme for the trip was 6 hours so:
6 = time traveled at 50 mph + time traveled at 60 mph + time traveled at x mph.
(a) How long did it take to travel the first 150 miles? (hours)
(b) Where was the car after 3 hours? (miles from the start)
I thought the answer would be 100 (first two hours) plus 5/6 (50 min/60 min) since the second speed is traveling 60 miles, but we only want 50 of them, so the total would be 2+5/6 hours; but that wasn't right.
For the second part I thought it would be 100+60=160 for the first 2 hours (100 miles) + one more hour of 60mph, which would add 60. This wasn't right either.
Any help would be great I'm really confused! Thanks!
Click here to see answer by stanbon(75887) |
Question 265146: A car travels 330 miles in 6 hours. It travels at 50 mph for the first two hours and travels the last 180 miles at 60 miles per hour. It travels at constant speed for the remaining time.
Let x be the time traveled at the unknown constant speed.
The total itme for the trip was 6 hours so:
6 = time traveled at 50 mph + time traveled at 60 mph + time traveled at x mph.
(a) How long did it take to travel the first 150 miles? (hours)
(b) Where was the car after 3 hours? (miles from the start)
I thought the answer would be 100 (first two hours) plus 5/6 (50 min/60 min) since the second speed is traveling 60 miles, but we only want 50 of them, so the total would be 2+5/6 hours; but that wasn't right.
For the second part I thought it would be 100+60=160 for the first 2 hours (100 miles) + one more hour of 60mph, which would add 60. This wasn't right either.
Any help would be great I'm really confused! Thanks!
Click here to see answer by dabanfield(803) |
Question 265209: The diameter of the Milky Way disc is approximately 9x10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way?
Any help with this question would be appreciated. Thanks.
Click here to see answer by checkley77(12844) |
Question 265339: A car enters the highway at point a and travels west at a constant speed of 55 miles per hour. One hour later, another car enters the highway at point a and travels west at a constant speed of 65 miles per hour. How long does it take the second car to overtake the first?
Click here to see answer by richwmiller(17219)  |
Question 265461: To get to his parents' house, John must travel at a speed of 60 mph on land and then use a motorboat that travels at a speed of 20 mph in still water. John goes by land to a dock and then travels on a river against a current of 4 mph. He reaches his parent's home in 4.5 hours. The return trip takes him 3.5 hours. How far do his parents live from his house?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 265588: A person climbs to the top of a mountain at the rate of 1.5 kilometers per hour and down the same way at a rate of 4.5 kilometers per hour.If he is gone for 6 hours, how far did he travel from camp to the top of the mountain?
Click here to see answer by checkley77(12844) |
Question 265640: Here is my problem: Sarah went to Jen house at 10:00 with 40 mph.The distance from her house to Jen house is 221 miles. Later, at 12:00, Jen went to Sarah house at a speech of 54 mph.How many miles will Sarah meet Jen?
Not: This is all i have remember.This is one of problems on the test.
I just want to make sure I did it right.
Here is what i have done so far
R*T=D
Sarah 40 t 40t
Jen 54 2-t 54(2-t)
40t=54(2-t)
40t=100-54t
+54t +54t
94t=100
t=1/3/47
40*1/3/47=42/26/47
it was a multiple choice test. i put 140 miles.im not sure,i guess on this one
Click here to see answer by josmiceli(19441)  |
Question 265671: How do I set up the following equation?
Car 1 travels at an average speed of 50 mph. Car 2 travels at an average speed of 40 mph. In the time it takes car 1 to travel a certain distance (d), car 2 travels 100 miles further. Find the distance each car travels and the time of the trip.
Click here to see answer by solver91311(24713)  |
Question 265733: Smith bicycled 45 miles going east from Dursango, and Jones bicycled 70 miles. jones averaged 5 miles per hour more than smith, and his trip took one-half hour longerthan smith's. How fast was each one traveling?
this is what i have..
45x=70(x+5)
45x=70x+350
-350=70x-45x
-350=25x
x=-14
45/14= 3.2mph & 70/14+5=10mph?
Click here to see answer by palanisamy(496) |
Question 265834: The speed of a passenger train is 8 mph faster than the speed of a freight train. The passenger train travels 260 miles in the same time it takes the freight train to travel 220 miles. Find the speed of each train.
How do I set this problem up to solve? Thanks!
Click here to see answer by Ruli(21) |
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