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Word Problems: Travel and Distance

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Question 90979: Could you please help me solve this question? One day you sewed two regular book bags and four deluxe book bags and it took you a total of 12.4 hrs. The next day, you sewed three regular and two deluxe and it took a total of 9.4 hrs. How much time does one regular bag take, and how much time does one deluxe bag take? Thank you.
Click here to see answer by checkley75(3666)

Question 91096: A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in t seconds is given by H(t)=-16t^2(squared) + 197t. At what time or times will the ball be 124 feet from the ground?
Can you please set up for me? Thanks.
Click here to see answer by stanbon(26251)

Question 91212: A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current. (using the 5- step method )
Click here to see answer by stanbon(26251)

Question 90982: Could please help me with this question?
The function that relates the Cost ($) of an oil well to its Depth (x) in feet is as follows:
C(x) = -146,983 + 58.72 * x
Find and interpret C(3500).

Click here to see answer by ankor@dixie-net.com(6686)

Question 91267This question is from textbook beginning algebra

: A bus leaves a station at 1 pm, travelling west at an average rate of 44mi/h. At 2 pm on the same day a second bus leaves the same station, travelling east at a rate of 48 mi/h. Approximately at what time will the two busses be 274 mi apart? This is as far as I got in understanding what to do. I realize I'm dealing with d = r * t, So,
44t + 48(t-1) =274
44t+48t-48=274
92t-48=274
92t=322
Help! please.
MechelleThis question is from textbook beginning algebra

Click here to see answer by THANApHD(104)

Question 91329: A car uses 8 gallons of gasoline on a trip of 80 miles. At that rate, how much gasoline will a trip of 160 miles require?
Click here to see answer by checkley71(8405)

Question 91328: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Click here to see answer by checkley71(8405)

Question 91327: During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
Click here to see answer by checkley71(8405)

Question 91536: If two cars start driving in the same direction from the same place, while one is traveling 45 mph and the other 50 mph, how long will it take them to be 30 miles apart?
I've done this problem 2 ways and both ways gives me the answer, but they are actually reversed.
First way: 45(x+30) = 50x Answer: x = 270, x+30 = 300
Seconc way: 45x = 50(x-30) Answer: x = 300, x-30 = 270
when completed: 270/45 = 6 and 300/50 = 6
However, the two ways I've done this problem I can't get 6 because 270 and 300 are matched with the incorrect variable.
HELP....PLEASE, what have I done incorrectly??

Click here to see answer by stanbon(26251)

Question 91538: When figuring travel and distance, I know that distance = rate x time. Is there a logical way to set up an equation when what you are figuring for is "time"?
Thanks
Click here to see answer by stanbon(26251)

Question 91537: Daphne and Niles are both driving west on Route 66. At 4:00pm, Daphne is 5 miles west of Niles. A little later, Niles passes Daphne. If Niles is driving at 55 mph and Daphne at 50 mph, at what times does Niles pass Daphne?
Click here to see answer by stanbon(26251)

Question 91645: the speed of an airplane in still air is 153 mph. The plane travels 849 mph against the wind and 1402 mph with the wind in a total time of 16 hours. what is the speed?
Click here to see answer by ptaylor(1578)

Question 91765: A boat can travel 5 miles upstream and 5 miles downstream in a total of 6 hours. If the speed of the current is 2 miles per hour, what is the speed of the boat in still water?
Click here to see answer by ankor@dixie-net.com(6686)

Question 91824: A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train, find the speed of each.
THANK YOU FOR YOUR HELP
Click here to see answer by mathispowerful(115)

Question 91823: a boat travels 4 miles south and then 10 miles east. How far is the boat from its starting point? (a) 7 miles (b) 5.385 miles (c) 58 miles (d) 10.77 miles Answer needs to be rounded to the nearest thousandth.
Click here to see answer by mathispowerful(115)

Question 91810: With a tail wind, a plane traveled 800mi in 5hrs. With a head wind, the plane traveled the same distance in 8hrs. Find the plane's air speed and the speed of the wind. Assume that both were constant
Click here to see answer by mathispowerful(115)

Question 91842: A car travels from Morena to Nadina in seven hours. On the return trip the speed is increased by 7 mph and the trip takes six hours. How far apart are the towns Morena and Nadina?
Click here to see answer by psychopsibilin(3)

Question 91981: A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train, find the speed of each.
Thanks
Click here to see answer by ptaylor(1578)

Question 92087: A car travels on the freeway at an average speed of 54 miles per hour,How many miles does it travel in 3 hours 40 minutes
Click here to see answer by funmath(2873)

Question 92141This question is from textbook McDougal Littell Algebra 2
: The elevator in the Washington Monument takes 75 seconds to travel 500 feet to the top floor. What is the speed of the elevator in miles per hour? Give your answer to two significant digits. This question is from textbook McDougal Littell Algebra 2

Click here to see answer by stanbon(26251)

Question 92134: I have no clue how to solve this- PLEASE HELP ME!
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
Click here to see answer by stanbon(26251)

Question 92371: At 9 am a truck leaves the truck yard and travels west at a rate of 50 mph. Two hours later, a second truck leaves along the same route, travelling at 75 mph. When will the second truck catch up to the first?

~Thanks
Click here to see answer by stanbon(26251)

Question 92408: Could you please show me how to set up and answer this question:
Jose takes the same amount of time to walk 3 miles as it takes Carlos to ride his bike 5 miles. If Carlos travels 5 miles per hour faster than Jose, what is Carlos' speed?
Thank you
Click here to see answer by mathispowerful(115)

Question 92457: At 1:00 p.m., a car leaves a city and travels north at a rate of 55 mi/h. An hour later, a second car leaves the city and travels south at a rate of 60 mi/hr. At what time will the two cars be 285 miles apart?
Click here to see answer by bucky(1732)

Question 92503: Scenario:
You need to make a round trip from Dallas to Ft. Worth (total distance 60 miles), and you want to average 60 miles an hour for your trip.

Problem:
Traffic is heavy on the Dallas to Ft. Worth leg of your trip and you are only able to average 30 miles per hour

How fast must you travel on the return leg in order to average 60 miles an hour for the entire trip?

Ft. Worth to Dallas 30 miles
Dallas to Ft. Worth 30 miles

Click here to see answer by Edwin McCravy(2920)

Question 92606: Edna and Nancy leave the house of a common friend at the same time and walk for 4 hours. Edna walks due east at the average rate of 4 kilometers per hour and Nancy walks due north at the average rate of 3 kilometers per hour. What is the straight-line distance between them, in kilometers, at the end of the 4 hours?
Click here to see answer by psbhowmick(456)

Question 92673: Mike and Adam left a bus terminal at the same time and traveled in opposite directions. Mike's bus was in heavy traffic and had to travel 20mi/h slower than Adam's bus. After 3 hours, their buses were 270 miles apart. How fast was each bus going?
It's the after 3hrs that confuse me. Can you help?
Kim
Click here to see answer by checkley75(3666)

Question 92679: I just got the answer to a problem I asked earlier ... thank you. Now, I have another question that is similar and I want to see if I am understanding this correctly.
Two trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice the speed. After 4 hours, the trains were 600 miles apart. How fast was each train traveling?
This is what I came up with ... am I right?
d = 400
t = 4
r = x (1st train) and 2x (2nd train)
400 = 4(x)+4(2x)
400 = 4x + 8x
400 = 12x
x = 33.33
2x = 66.66
Click here to see answer by stanbon(26251)

Question 92765: Could someone please help me with setting this problem up and figuring it out? I have tried and cannot come up with anything. Algebra is my worst subject. Thanks for any help. Two planes set out at 3pm from the same airfield headed in the same direction. The average speed of the first plane is 250 mph slower than twice the speed of the second plane. In 3hr. the first plane is 300 mi. ahead of the second plane. How far did the second plane travel?
Thanks for your time.
Click here to see answer by scott8148(3382)

Question 92870: A man drove 220 miles in 3 1/2 hours. Part of the trip was at 60 miles per hour and the rest at 65 miles per hour. find the time spent at lower speed.
Click here to see answer by checkley75(3666)

Question 93049: Two cars traveled in oppostie directions from the same starting point. The rate of one car was 10km /h faster than the rate of the other car. After 4 hours the cars were 46okm apart. Find each car's rate.
Click here to see answer by stanbon(26251)

Question 93075: A sprinter who averaged 30ft/sec completed a race one second before another sprinter who averaged 28 ft/sec. what was the distance of the race?
Click here to see answer by stanbon(26251)

Question 93043: The Brodskys drove to the mountains at 60km/h. they returned at 40km/h. The return trip took 2 hours longer than the trip to the mountains. How long did it
take them to get home?
Click here to see answer by ankor@dixie-net.com(6686)

Question 93048: Two trucks started toward each other at the same time from towns 270km apart.
One truck averaged 70km/h and the other averaged 65km/h. after how many hours did they pass each other?
Click here to see answer by scott8148(3382)

Question 93227: Allison drives 30 miles per hour through the city and 55 miles per hour on the rt. 95. she drove 90 miles from Boston to the York Beaches. How much of the time was city driving if she spent 1.2 hours on rt. 95?

Click here to see answer by stanbon(26251)

Question 93052: The Joneses drove to their parents house at 45km/h. The return trip took 1 hour less because they traveled at 60km/h. How long did it take for them to get home?
Click here to see answer by checkley75(3666)

Question 93296: A man travels for Town X to Town Y at an average rate of 50 mph and returns at an average rate of 40 mph. He takes 1/2 hr. longer than he would take if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y?
Click here to see answer by checkley75(3666)

Question 93495: Here is one more question I am having trouble with also. I would appreciate it if you could help me figure this out.
A commuter plane flies to a small town from a major airport. The average speed flying to the small town was 250mph and the average speed returning was 150mph. The total flying time was 4hr. Find the distance between the two airports. Thank you for your time.
Click here to see answer by checkley75(3666)

Question 93493: Hi I am stuck and need some help. Could someone please help me with setting this problem up and solving. I have tried it so many times and still not getting it. A motorboat leaves a harbor and travels at an average speed of 8mph toward a small island. Two hours later a cabin cruiser leaves the same harbor and travels at an average speed of 16mph toward the same island. In how many hours after the cabin cruiser leaves will it be alongside the motorboat? Thanks for your help.....
Click here to see answer by checkley75(3666)

Question 93503: I hope this is the last question I have on this homework assignment, could someone please help?
On a 195mi trip, a car traveled at an average speed of 45mph and then reduced its speed to an average of 30mph for the remainder of the trip. The trip took a total of 5 hours. How long did the car travel at each speed? Thanks for any help you are able to give.
Click here to see answer by checkley75(3666)

Question 93572: I've been stuck on this question for awhile and I'm confused:
Two families are traveling by car to a camp 280 kilometers away. One family leaves 20 minutes ahead of the other family and travels at an average speed of 40 kilometers per hour. What would the speed of the second family's car need to be if the family is to reach the camp at the same time as the first family?
They give me a hint here: (Set up the equation and solve by substitution.)
Click here to see answer by stanbon(26251)

Question 94097This question is from textbook prentice hall mathematics algebra 2
: Two buses leave Houston at the same time and travel in oppisite direction. One bus averages 55 mi/h and the other bus averages 45 mi/h. When will they be 400 mi apart?This question is from textbook prentice hall mathematics algebra 2

Click here to see answer by checkley75(3666)

Question 94101This question is from textbook prentice hall mathematics algebra 2
: Two planes left an airport at noon. One flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi apart in 3 h. How fast was each plane flying?
---THANKS FOR ALL YOUR HELP!!!!!!---This question is from textbook prentice hall mathematics algebra 2

Click here to see answer by edjones(3291)

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