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

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Word Problems: Travel and Distance

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Question 152447: help me pleasee
a highway patrolman spots a speeding car. he clocks it at 70 mph and takes after it .05 mile behind. if the patrolman travels at an average rate of 90 mph, how long before he over takes he car?
Click here to see answer by nerdybill(2446)

Question 152446: help me. please!
a highway patrolman spots a speeding car. he clocks it at 70 mph and takes after it .05 mile behind. if the patrolman travels at an average rate of 90 mph, how long before he over takes he car?
Click here to see answer by scott8148(3382)

Question 152452: After 5 hours of house painting, Jess asked the assistance of Jon. Together, they finished the job in 4 more hours. Had Jon joined in an hour after Jess started working, the job would have been finished in 7 hours. How long would it have taken Jess to paint the house alone?
Click here to see answer by scott8148(3382)

Question 152444: helpp
a highway patrolman spots a speeding car. he clocks it at 70 mph and takes after it .05 mile behind. if the patrolman travels at an average rate of 90 mph, how long before he over takes he car?
Click here to see answer by scott8148(3382)

Question 152435: Your boat will go 15 miles per hour in still water. If you can go 12 miles downstream in the same amount of time it takes to go 9 miles upstream, then what is the speed of the current?
Click here to see answer by ptaylor(1578)

Question 152450: A boy rows his boat 8 km downstream in 1 hour and 4 min, and returns in
2 2/7 hours. At what rate will he row in still water? What is the rate
of the current?

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

Question 152412: please help!! i need help on two simlar questions.
q1) Doomtown is 200 miles due west of Sagebrush and Joshua is due west of Doomtown. At 9AM Mr. Archer leaves Sagebrush for Joshua. At 1PM Mr. Sassoon leaves downtown for Joshua. If Mr. Sassoon travels at an average speed of 20 mph faster than Mr.Archer and they each reach Joshua at 4 PM, how fast is each traveling?
q2) Timothy leaves home for Skedunk 400 miles away. After 2 hours, he has to reduce his speed by 20 mph due to rain. If he takes 1 hour for lunch and gas, and and reaches Skedunk 9 hours after he left home, what was his initial speed?
please help!!
Click here to see answer by ankor@dixie-net.com(6688)

Question 152552: The Smiths drove a total of 540 miles in 2 days. They drove twice as far on Tuesday as they did on Monday. How many miles did they drive on Monday? on Tuesday?
Click here to see answer by jim_thompson5910(13785)

Question 152596: Mitchel drove to a friend at a rate of 40 miles/hr. He returned by the same route at a rate of 45 miles/hr.The driving time for the round trip was 4 hours.What is the distance Mitchel travelled ?
Click here to see answer by Earlsdon(4898)

Question 152566: Please help me solve this: Clifford "TI" Harris went on a weekend trip. He averaged 35mi/h in the city and 60mi/h on the highway. If the 150mi trip took 3hrs, how much of the time was he driving in the city.
Click here to see answer by mducky2(55)

Question 152557: Kara floats from A to B at 6 km/h.
She returns by motorboat at 18km/h.
The float trip is 4 hours longer than the motorboat trip.
How far is it from A to B?
Click here to see answer by ankor@dixie-net.com(6688)

Question 152555: Franklin bikes from A to B at 25km/h.
He returns by car at 75km/h.
The bike trip is 2 hours longer than the car trip.
How far is it from A to B?
Click here to see answer by ankor@dixie-net.com(6688)

Question 152554This question is from textbook
: The clock shows the time of 3:30. Mike's 1-hour filght landed in Richmond. It took him 30 minutes to drive to the airport, and he was 45 minutes early for his flight. At what time did he leave his house?This question is from textbook

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

Question 152760: At 5:00 PM a plane leaves an airport and flies due north at 588 km/h. At 6:00 PM a second plane leaves the airport, also flying north but at 732 km/h. When does the second plane overtake the first?
Click here to see answer by Alan3354(6050)

Question 152792: I am having problems with problem because of the different start times. The only problems online I have found with different start times are when the two vehicles are leaving from the same location.
At noon a train leaves Bridgton heading east at 90 mi/hr to Cogsville, 450 miles away. At 12:15 pm a train leaves Cogsville heading west to Bridgton at 100 mi/hr. At what time will they pass each other?
Click here to see answer by Shelley(1)

Question 152934: I have a word problem.
The distance from Philadelphia and Sea Isla City is 100 miles. A car was driven this distance using tires with a radius of 14 inches. How many revolutions of each tire occurred on the trip?
I would like to learn how to break down the equation if I may.
Many thanks!!
Click here to see answer by scott8148(3382)

Question 152957This question is from textbook Essentials of College Algebra
: Two planes leave Los Angeles at the same time. One heads south to San Diego; the other heads north to San Francisco. The San Francisco plane flies 50 mph faster. In 1/2 hr, the planes are 275 mi. apart. What are their speeds?This question is from textbook Essentials of College Algebra

Click here to see answer by checkley77(7032)

Question 152948: if a car is traveling at 70 miles per hour how long will it take to drive 200 miles
Click here to see answer by checkley77(7032)

Question 153126: Katie walks 3 miles north of her farm, turns west and walks 4 miles. how far must she walk if she can walk directly back to her farm?
Click here to see answer by checkley77(7032)

Question 153165: Making a round trip from Fairview to Casterville, a distance of 20 miles, a pilot faces a 30mph head wind one way and a 30mph tail wind on the return trip. The return trip takes 45 minutes less than the outbound journey. Find the speed of the plane in still air
from Fair/Cast distance=10miles; rate = (r-30); time = t
from Cast/Fair distnace= 10miles; rate = (r+30); time = t -45
the total distance is 20 miles
so 10 = t(r-30)
10 = (r+30)(t-45)
the two variables are throwing me off, somethings wrong in my setup??
Thanks for your help.
Click here to see answer by orca(409)

Question 153376This question is from textbook pre algebra
: A car traveled 280 miles at 55 mph.
About how many hours did it take for the car to reach its destination?This question is from textbook pre algebra

Click here to see answer by jojo14344(1483)

Question 153373: Two cars travel in opposite directions from the same point. The rate of one car is 10mph less than the rate of the other car. After 8 hours, the cars are 560 miles apart. Find the rate of each car.
Click here to see answer by nerdybill(2446)

Question 153398: a car used 14 gal. of gas an traveled a total distance of 550 mi. the car's fuel efficiency is 40 mi./gal on the highway and 35 mi/gal in the city. how many gal of gasoline were used on the highway?
write linear equation and solve
Click here to see answer by stanbon(26251)

Question 153435: In a walkathon to raise money for a charity Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 15 min. How many miles was the walkathon.
Click here to see answer by ankor@dixie-net.com(6688)

Question 153443: a person traveling 4 hours by plane and 25 hours by ship covers 1580 miles.if the speed of the plane had been one half of the actual speed and the speed of the ship had been one fourth greater,the person would have traveled only 1315 miles in the same length of time.find the speed of the plane and the ship.
Click here to see answer by stanbon(26251)

Question 153445: a bicyclist and a hiker leave the same place at the same time and travel in the same direction.the bicyclist travels 3 times as fast as the hiker.at the end of 3 hours they are 24 miles apart.how fast does the hiker travel?
Click here to see answer by jojo14344(1483)

Question 153431: The speed of a stream is 3 mph. A boat travels 8 miles upstream at the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water?
Click here to see answer by orca(409)

Question 153441: Logan & Madison went on a 7 hour trip. Together they drove a total of 428.5 miles. Logan averaged 58 mph and Madison averaged 63 mph. How long did Madison drive?
Click here to see answer by orca(409)

Question 153549: When operating at full capacity, an electric generator can produce 3000 kilowatts of electrical power. If the same generator is currently producing 2010 kilowatts, at what percentage of its full capacity is it running?
Click here to see answer by stanbon(26251)

Question 153600: 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.
Click here to see answer by Earlsdon(4898)

Question 153602: The distance between Maggie's house and Rashmee's house is 1,600. If it takes Maggie 3 seconds to walk 10 feet, how long will it take her to walk to Rashmee's house? (please show steps!)
Click here to see answer by Earlsdon(4898)

Question 153630: A truck enters a highway driving 60 mph. A car enters the same highway 13 minutes later and driving 71 mph. How long does it take the car to pass the truck?
Click here to see answer by stanbon(26251)

Question 153654: Please help me solve: Two hikers, Alan and Ben, are 14.4 miles apart and walking towards each other. They meet in 4 hours. Find the rate of each hiker if Ben walk 0.6 mph faster than Alan. They want to know:
Alan's rate of speed is:
Ben's rate of speed is:
I have know idea on how to even start this problem.
Click here to see answer by scott8148(3382)

Question 153653: Please help me solve: Two hikers, Alan and Ben, are 14.4 miles apart and walking towards each other. They meet in 4 hours. Find the rate of each hiker if Ben walk 0.6 mph faster than Alan. They want to know:
Alan's rate of speed is:
Ben's rate of speed is:
I have know idea on how to even start this problem.
Click here to see answer by scott8148(3382)

Question 153593: This is actually more trig. i think...
For a ball going around a unit circle with speed 1
(a) how long does it take for 5 revolutions
(b) at time t=3*pie*/2 where is the ball?
(c) at t=22 where is the ball (approximately)
Click here to see answer by Fombitz(2113)

Question 153687: Please help me solve the following word problem (note: this problem came straight from a worksheet):
An object is dropped from an initial height of s feet. The object's height at any time t, in seconds, is given by h= -16t^2 + s. How long does it take for an object dropped from 300 feet to hit the ground? Round your result to two decimal places.
Click here to see answer by scott8148(3382)

Question 153748: If a computer program draws aspiral at a reate of 45% every 20 seconds then how long will it take to complete 25 full turns?
Click here to see answer by checkley77(7032)

Question 153794: how fast did a car go to overtake a bus in 6 hours if the bus average 45mph and left 3 hours befor the car?
Click here to see answer by checkley77(7032)

Question 153779: Mr. Newton drive to and from work over the same route each day. On Friday, he drives at an average rate of 52 mph/km and is one minute late to work. On Monday, he drives at an average rate of 60 mph/km and is one minute early to work. If he left home at the same time each day, what is the distance Mr. Newton travels one way to work?
Click here to see answer by ankor@dixie-net.com(6688)

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