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Word Problems: Travel and Distance

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Question 58898: Bike Rides - Jo and Chris set out together. they rode their bikes from a to b, from b to c and from c back to a. A to B = 4 miles, B to C = 4 miles, C to A = 4 miles.
jo rode at a constant speed all the way.
Chris rode from a to b at double jo's speed.
She rode from b to c at the same speed as jo
She rode from c back to a at half jo's speed.
Who got back to a first?
How far a head was she?
Click here to see answer by uma(370)

Question 58994This question is from textbook Elementry and Intermediate Algerbra
: Smith bicycled 45 miles going east form Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer than Smith’s. How fast was each one traveling?This question is from textbook Elementry and Intermediate Algerbra

Click here to see answer by stanbon(26251)

Question 59074: Two airplanes leave the Atalnta airport at th esame time, traveling in opposite directions. One plane travels 30 miles per hour faster than the other. After 3 hours, the planes are 3150 miles apart. what is the rate of each plane?
Click here to see answer by funmath(2873)

Question 59128: An airplane flies at a rate of 356 km/h. If the plane travels a total distance of 1424 km, how long was it in the air?

Click here to see answer by funmath(2873)

Question 59392: A bicyclist rode up a mountain road at 12 km/h and then back down 30 km/h. If the round trip took 3.5 h, how long did the ride up the mountain take?
Click here to see answer by funmath(2873)

Question 59388This question is from textbook

: Science and medicine. Martina leaves home at 9 A.M., bicycling at a rate of
24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time
will John catch up with Martina?This question is from textbook

Click here to see answer by funmath(2873)

Question 59386This question is from textbook

: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?This question is from textbook

Click here to see answer by funmath(2873)

Question 59538This question is from textbook
: Three new ink cartridges cost $9 less than 5 new cartridges. Write and solve for the cost of each cartridgeThis question is from textbook

Click here to see answer by josmiceli(3003)

Question 59640: Andy drove his motorboat downstream for 5 hours before heading back. After cruising back upstream for 7 hours, Andy was 10 miles short of his starting point. If the speed of the river is 5 mph, find the speed of his boat in still water? What distance did Andy cruise downstream before heading back?
Click here to see answer by josmiceli(3003)

Question 59679This question is from textbook Pre-algebra & Introductory Algebra

: A family is planning their vacation to Disney land world. They will drive from a small town outside New Orleans, Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this trip take?This question is from textbook Pre-algebra & Introductory Algebra

Click here to see answer by Cintchr(475)

Question 60115This question is from textbook Elementry and Intermediate Algebra
: 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?This question is from textbook Elementry and Intermediate Algebra

Click here to see answer by ankor@dixie-net.com(6688)

Question 60111This question is from textbook Elementry and Intermediate Algebra
: Debbie plans on investing enough money so that she will have $2000 at the end of two years. How much money will she have to invest now if her money will grow according to the following formula: 2000 = P (1.025)^4? This question is from textbook Elementry and Intermediate Algebra

Click here to see answer by tutorcecilia(2042)

Question 60110This question is from textbook Elementry and Intermediate Algebra
: Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he traveled. How much distance he covered if x = 45 Mph?This question is from textbook Elementry and Intermediate Algebra

Click here to see answer by funmath(2873)

Question 60562: Hiya guys i need help on these problems:
its like greek to me...dont understand it a bit!
>
The hiking club hiked to Robbers Cave State Park at 4 mph. They got a ride back to town in a truck that went 20 mph. If roundtrip took 18 hours how far was it from town to park?
>
Simon set out on a hike. After walking for some time at 5kph he caught a ride back home in a truck that traveled at 20 kph. If the roundtrip took 10 hours how far did he walk?
and last one...
There were 6 more girls than twice the number of boys. There were 36 boys and girls in all. How many boys and how many were there?

Click here to see answer by jai_kos(139)

Question 60641: 102. Time swinging. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2 = pie ^2L. If a child is on a swing with 10 feet chain, then how long does it take to complete one cycle?
thanks for all your help, i wish i had your knowledge.
Click here to see answer by uma(370)

Question 60758: The speed of a stream in 5 mph. If a boat travels 82 miles downstream in the same time that it takes to travel 41 miles upstream, what is the speed of the boat in still water?
Click here to see answer by ankor@dixie-net.com(6688)

Question 60822This question is from textbook Elementry and Intermediate Algebra
: Pat travels 70 miles on her milk route and Bob travels 75 miles on his route. Pat travels 5 miles per hour slower than Bob, and her route takes ½ hour longer than Bob’s. Find the speed at which each of them is traveling. This question is from textbook Elementry and Intermediate Algebra

Click here to see answer by Nate(3495)

Question 60759: A plane flies 440 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 30 mph, What is the speed of the plane in still air?
Click here to see answer by ankor@dixie-net.com(6688)

Question 60881: A slow train leaves the station, 2 hrs later a fast train, with double the speed of the slow train, leaves the station and catches up with the slow train after traveling 180 mi. Find the speed of both trains.
Click here to see answer by ankor@dixie-net.com(6688)

Question 60978: One bus traveles 20 km/hr faster than another. While the slower bus traveles 280 km the faster one goes 440 km. Find the speed of the faster bus.
a) 35 km/hr
b) 45 km/hr
c) 55 km/hr
d) 65 km/hr
e) none of these
Click here to see answer by Nate(3495)

Question 60966: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil
Click here to see answer by checkley71(8405)

Question 61006: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are _______________? I have the answers, but want to know how to work it out, thanks.
Click here to see answer by checkley71(8405)

Question 61204: A small aircraft flies a 2160-mi round trip in a 45 mi/h wind. Find the average rate of speed for the trip if the aircraft can fly 225 mi/h with no wind.
I was just confused because, to me, this problem doesnt seem like it has enough information to put in a R | T | D box. Thanks for your help.
Click here to see answer by checkley71(8405)

Question 61272: At noon a horse and buggyheaded north traveling 10 miles per hour. Two hours later, a roadster headed south from the same location driving 50 miles per hour. At which time will the horse and buggy be 140 miles from the roadster?
Click here to see answer by checkley71(8405)

Question 61278: A northbound train left at noon. Two hours later, a southbound train left the same station. At 6:00 p.m., the two trains were 490 miles apart. Find the rate of each train if the northbound train traveled 15 miles per hour faster than the southbound train.
Click here to see answer by checkley71(8405)

Question 61354: A river boat can head 340 miles up-river in 19 hours, but the return trip takes only 14 hours. Find the current of the river and find the speed of the ship in still water to the nearest tenth of a mph.
(Should X equal the speed of the ship? Or the current of the river? Or both?) Okay I am stuck any help would be greatly appreciated. Thank-You.

Click here to see answer by funmath(2873)

Question 61518: 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?
Thanks for your help!
CH
Click here to see answer by asha(30)

Question 61326This question is from textbook Algebra 1 an Integrated Approach
: In a two boat sailing race, one boat Windsprite rounds the final buoy and sails straight for the finish line at 12 knots. Exactly 4 minutes after Windsprite rounds the final buoy the other boat Porpoise reaches that point and heads for the finish line at 12.7 knots. Windsprite reaches the finish line 49 minutes after rounding the last buoy. Who wins the race?This question is from textbook Algebra 1 an Integrated Approach

Click here to see answer by ankor@dixie-net.com(6688)

Question 61621: A ball is thrown vertically upward from the top of a building 112 feet tall with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s=112+96t-16t^2. After how many seconds will the ball pass the top of the building on its way down?
I BELIEVE I WOULD USE THE Distance=Rate X Time
Is that right? Is this how I would start it?
112+96t-16t^2=r x t.....i got stuck
Click here to see answer by Earlsdon(4898)

Question 62105: 3) It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) How far have you traveled after 3 hours?
Answer:
Show work in this space:
b) How far have you traveled after 4 hours?
Answer:
Show work in this space:
c) How far have you traveled after t hours? i.e. write a linear function that expresses the distance traveled, d, as a function of time, t.
Answer:

Click here to see answer by rchill(405)

Question 62152: If you traveled 15 miles in 3 hours, how fast were you going?
15*3= 45?
Click here to see answer by joyofmath(189)

Question 62269: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
Click here to see answer by ankor@dixie-net.com(6688)

Question 62268: John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
Click here to see answer by tutorcecilia(2042)

Question 62274: It takes Bob the same amount of time to travel 600 miles as it takes Kurt to travel 450 miles. If Bob drives 20mph faster than Kurt, how fast does each person drive?
Click here to see answer by stanbon(26251)

Question 6176: Two cars are 1000 miles apart. They start travelling towards each other at 100 and 200 mph. How far apart will they be 1 hour before they meet.
Thanks.
imazine there are 2 cars
1000m
A ________________________________________________________ B
After 1hr
100m A 700m B 200m
__________________________________________________________
Click here to see answer by 303795(562)

Question 62430: a biker rode 3 hours with a wind of 6 km/h. when he was returnin against the same wind it took 5 hours. what his speed in still air.
Click here to see answer by funmath(2873)

Question 62741: really need help!
the speed of an aircraft varies directly as its Mach number. use the figures for the two aircraft and formulas for direct variation to determine the Blackbirds speed.
Concorde Blackbird
Mach 2.03 Mach 3.3
Speed=1502.2 miles per hr Speed=?
Click here to see answer by 303795(562)

Question 62948: a motorcycle leaves a gas station at an average speed of 20 mph. another motorcycle leaves the same gas station an hour later. the second motorcycle overtakes the first motorcycle in 4 hours. what is the rate of each motorcycle?
Click here to see answer by funmath(2873)

Question 62947: two cars leave an intersection at the same time and travel in opposite directions. one car travels at 20mph and the other car travels at 60mph how long will it take for the two cars to be 240 miles apart?
Click here to see answer by funmath(2873)

Question 63310: Two cyclists start biking from a trail’s 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 catches up with the first from the time the second cyclist started biking?
Click here to see answer by ptaylor(1578)

Question 63359: airplane 1 travels 500 mph ; airplane 2 travels 600 mph ; airplane 2 leaves 30 minutes after airplane 1 ; at what time will airplane 2 catch airplane 1 ?

Click here to see answer by checkley71(8405)

Question 63430: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?

Click here to see answer by ankor@dixie-net.com(6688)

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