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

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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(57211)

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(12569)

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(9135)

Question 265446: One car travels 40 km/hr faster than another. While one travels 150 km, the other goes 350 km. Find the speed of the slower car.
Click here to see answer by palanisamy(496)

Question 265460: You drive a car 2 hours at 40 miles per hour and then 2 hours at 60 miles per hour. How many miles will you travel?
Click here to see answer by Alan3354(30937)

Question 265475: Two planes leave an airport at 2 pm, one flying south at 450 km/hr, the other flying north at 675 km/hr. At what time will they be 3600 km apart?
Click here to see answer by stanbon(57211)

Question 265491: suppose that one worker can shovel snow from a storefront sidewalk in 50 minutes and another worker can shovel it in 30 minutes. How long will it take if they worked together?
Click here to see answer by Alan3354(30937)

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(15622)

Question 265591: the fastest lava flow was 60km/h. a horse can gallop as fast as 48mi/h. could a galloping horse outrun the fastest lava flow? (1km=.62mi)
Click here to see answer by Alan3354(30937)

Question 265596: Hayden can run 1 mile in 5 minuts and 20 seconds. At this rate, how many miles will she run in 1 hour?
Click here to see answer by palanisamy(496)

Question 265595: A car travels 1 mile in 75 seconds. At this rate, how many miles will the car travel in 1 hour?
Click here to see answer by palanisamy(496)

Question 265615: Rowland can mow his yard in 21 minutes, It takes Don 28 minutes to mow the same lawn. How long should it take both of them,working together, to mow the yard?
Click here to see answer by solver91311(16868)

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(12569)

Question 265431: A girl walks up a mountain at 6 mph and arrives at 1pm, she walks another day up the same mountain at 10mph, but arrives at 11am. How fast would she have to walk to arrive there at 12 noon?
Click here to see answer by ankor@dixie-net.com(15622)

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(9645)

Question 265661: how long will it take for a journey of 100 miles if i travel at 25 miles per hour?

Click here to see answer by Alan3354(30937)

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(16868)

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 265478: a car travels 40 mph for 20 miles, 36 mph for 24 miles, and 48 mph for 16 miles. what is its average speed?
Click here to see answer by ankor@dixie-net.com(15622)

Question 265793: Tim and Pam are 88 miles apart. At the same time, each starts traveling toward the other. Time travels at 30 mph. Pam travels at 14 mph. After how long do they meet?
How do you solve these types of problems?
thank you for your help

Click here to see answer by ankor@dixie-net.com(15622)

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)

Question 265895: A jet airliner flies at 300 mph for the first half hour and last half hour of a flight. The rest of the time it flies at 600 mph. How long does it take to fly a distance of 5700 miles?
time of flight= _____ hours
Click here to see answer by vksarvepalli(154)

Question 265887: The air speed of a plane was 132 km/h. Flying with the wind, the plane traveled twice the distance in 5 h as it traveled against the wind in 3 h. What was the wind speed?
Click here to see answer by vksarvepalli(154)

Question 265876: A car travels 221 miles in 3 hours and 15 minutes. How many miles per hour did the car travel?
Click here to see answer by asuar010(324)

Question 265951: It is 50miles between dakota city and blue falls.It takes Mr.oliver one hour to make the drive.how fast does he drive?
Click here to see answer by Alan3354(30937)

Question 265958: Find an equation of the line containing the give pair of points

(-6,-6) and (7,7)
Click here to see answer by Alan3354(30937)

Question 265958: Find an equation of the line containing the give pair of points

(-6,-6) and (7,7)
Click here to see answer by stanbon(57211)

Question 265958: Find an equation of the line containing the give pair of points

(-6,-6) and (7,7)
Click here to see answer by drk(1908)

Question 265966: write an equation of the line containing the given point and parrallell to the give line. express your answer in the form y=mx+b
(5,9); x=6y=5
Click here to see answer by Alan3354(30937)

Question 266074: Straight from text: A boat moves 15.0 km across a lake in 45.0 minutes. What was the average speed of the boat in km/hr?
Click here to see answer by josmiceli(9645)

Question 266074: Straight from text: A boat moves 15.0 km across a lake in 45.0 minutes. What was the average speed of the boat in km/hr?
Click here to see answer by stanbon(57211)

Question 266146: A freight train leaves a station at 7 A.M and travels North at 40 mph. At 5 A.M, a passanger train leaves on a parallel track and travels North at 80 mph. How long will it take the passanger train to overtake the freigh train?
Click here to see answer by Alan3354(30937)

Question 266273: a ball is tossed int the air from a height of 12ft at 16ft per sec, how long does it take to reach the earth?
Click here to see answer by Alan3354(30937)

Question 266264: Two planes start at the same place and travel at different rates in opposite directions. Two hours later the planes are 1,800 miles apart. Express the distance traveled by the slower plane in terms of the distance traveled by the faster plane.
Click here to see answer by josmiceli(9645)

Question 266295: sue can ride bike 14 km/h faster than she can walk
it takes 17.5 min longer to walk 2.5 km than to ride. find sue's walking speed
Click here to see answer by ptaylor(2048)

Question 266443: A ball is thrown upward with an intial velocity of 48foot/second from a height of 640ft. H=-16t^2+48t+640. After how many seconds will the ball hit the ground? (i.e. for what positive value of t is h=0?)
Click here to see answer by ankor@dixie-net.com(15622)

Question 266444: How many revolutions will a car wheel of diameter 28 inches make as the car travels a distance of two miles?
Click here to see answer by rfer(12644)

Question 266450: A truck travels for 4 hours at an average speed of 42 miles per hour. How much longer must the truck travel at an average speed of 55 miles per hour so that the average speed for the total trip is 50 miles per hour.
Click here to see answer by drk(1908)

Question 266452: In a pen at Old MacDonald's farm there are some sheep and some geese. There is a total of 115 animals and there are 424 legs. How many sheep and how many geese are there?
Click here to see answer by josmiceli(9645)

Question 266456: how many inches are in 4 1/2 feet?
Click here to see answer by Alan3354(30937)

Question 266456: how many inches are in 4 1/2 feet?
Click here to see answer by drk(1908)

Question 266541: It took 4.5 hours to drive to her mother's house. On her trip on Sunday , it took 5 hours. Her average speed on Sunday was 4mph slower than on Saturday. What was her average speed on Sunday?
Click here to see answer by drk(1908)

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