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

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Question 271451: During the day a truck driver encounters light ,moderate, & heavy traffic. If he travels 1/3 hour in light, 1/2 hour in moderate, and 1/5 hour in heavy he can cover 21 miles. Ifh e travels 1/5 in light, 1/4 in moderate, and 1 hr in heavy he can cover 16 mi. The sum of his speeds in moderate & heavy is 5 mi less than his speed in light. Find his speed in each type of traffic.
Use 3 variable system to solve.
Click here to see answer by ankor@dixie-net.com(15746)

Question 270967: a plane is flying at 174 miles per hour with a heading of 50.5 degrees from due north. the wind is blowing a constant 23 miles per hour at 140.5 degrees from due north. find the ground speed and true course of the plane.
Click here to see answer by Alan3354(31534)

Question 271556: the sum of four consecutive even integers is 308. Write and solve an equation to find the integers. Show all work.
Click here to see answer by Alan3354(31534)

Question 271644: Cyclist A started his journey on cycle at 7:30 a.m. at a speed of 8 km/h. After 30 minutes, cyclist B started from the same place but with a speed of 10 km/h. At what time did B overtake A?
Click here to see answer by mananth(12270)

Question 271702: How can two cars pass each other more than once if one car has negative velocity and the other car has a positive velocity?
Click here to see answer by richwmiller(9144)

Question 271734: the wheel of a bike makes 800 revolutions.the radius is 0.7m.the distance covered is?
Click here to see answer by CharlesG2(828)

Question 271737: a horse is tied to a peg,fixed at a cornorof a square feet and draces an aera of 154 sq.m.the length of the rope?
Click here to see answer by CharlesG2(828)

Question 271809: emma and her mother jog along a mile-long circular path in opposite directions. They begin at the same place and time. Emma jogs at a pace of 4 miles/hour and her mother rums at 6 miles/hour. In how many minutes will they meet?
Click here to see answer by scott8148(6628)

Question 271816: tara and brian leave a concert at 11:30 pm. they travel in opposite directions. tara drives 55 miles per hour and brian drives 45 miles per hour. at what time will they be 150 miles apart? 12, 12:10, 1 or 1:20?
I think you need to use the distance formula d=rt but i am stuck.
Click here to see answer by scott8148(6628)

Question 271889: Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes and the distance between them is then 16km. How fast does Joe run?
Can you also show me how you worked it out
Click here to see answer by stanbon(57979)

Question 271833: A boat on a river travels the same distance in 1/2 hour downstream as it can go upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current?

Click here to see answer by ankor@dixie-net.com(15746)

Question 271882: a small plane cruises at 180 mph. it takes the same amount of time to travel 7 miles with the wind as it takes to travel 5 miles against the wind. what is the wind speed?
Click here to see answer by dabanfield(803)

Question 271988: An airplane travels 600 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the rate of the wind.
Click here to see answer by palanisamy(496)

Question 272119: two cyclists start biking from a trail 3 hours apart. the second cyclist travels a 10 miles per hour and 3 hours after cyclist who is traveling at 6 miles per hour how much time will pass before the second cyclist up with the first from the time the second cyclist started biking
Click here to see answer by ankor@dixie-net.com(15746)

Question 272177: A woman hikes to the bottom of the Grand Canyon at a rate of 4.5 mph and returns to the top by mule at a rate of 2.5 mph. If the total time of the trip is 7 hours, how lond did she walk and what was the total length of her trip?
Let= statement and formula please. Thank You.
Click here to see answer by oberobic(2304)

Question 272215: The averages speed of an automobile for the first half of a 100 km. trip was
60 km/hr and from the second half was 90 km/hr. What was the average speed in
km/hr for the entire distance?
(A) 68 (B) 72 (C) 75 D) 78 (E) 80

Click here to see answer by ptaylor(2052)

Question 272228: Two runners start from the same point at the same time. They will be 4 miles apart at the end of two hours if running in the same direction, and they will be 16 miles apart at the end of one hour if running in opposite directions. Find their speeds.
Click here to see answer by ankor@dixie-net.com(15746)

Question 272222: PLEASE PLEASE PLEASE can someone explain to me in easier terms how the figure 1389 is reached I cant understand how this figure is reached at all.
63.5 + 61 = 124.5
124.53/2 = 1389.16
124.52 will be 124.5x 124.5 but in this instance instead of the power of 2 it is the power of 3/2 a fraction which is in fact 1 1/2 (1.5).

Click here to see answer by ankor@dixie-net.com(15746)

Question 272339: Becky rides her bike to school in 20 minutes. The trip home uphill takes 30 minutes. If her rate is 8 mph faster there than trip home, what is her rate?
Thanks! wwoolaver@hotmail.com
Click here to see answer by ankor@dixie-net.com(15746)

Question 272431: sally walked(4miles per hour) frome home to the bike shop. She then rode her newly repaired bike home(at 12 miles per hour)if the round trip took a total of 2 and 1/2 hours how far does sally bike from the bike shop? how do i go about setting this up? thank u
Click here to see answer by checkley77(12569)

Question 272474: A high speed train is traveling with an average speed of 227km/h. The train travles for two hours. how far does the train travel?
Click here to see answer by dabanfield(803)

Question 272444: A motorboat travels 340 KM in 5 hours going upstream and 708 KM in 6 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Click here to see answer by scott8148(6628)

Question 272600: Two planes leave an airport at the same time. Their speeds are 130 mph and 150 mph, and the angle between their courses is 36 degrees. How far apart are they after 1.5 hours?
Click here to see answer by Alan3354(31534)

Question 272650: Please help me solve this word problem: A trucker drives 30mph for 1 hour and 55mph for 2 hours, how many miles did the trucker travel all together?
Click here to see answer by JenniferTutors(83)

Question 272628: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3300ft/sec and the speed of sound is 1100 ft/sec how far away is the target?
Click here to see answer by mananth(12270)

Question 272860: Kareem took 5hours to drive 470km from Sudbury to Brantford. For part of the trip, he drove at 100km/h. For the rest of the trip he drove at 90km/h. How far did he drive at each speed?
Click here to see answer by checkley77(12569)

Question 272894: translate to algebraic equation
rickie drove her car at 50 mph for t hours. how many miles did rickie travel
50t?
Click here to see answer by richwmiller(9144)

Question 272832: Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour while the other traveled at 60 km per hour. After how many hours did they meet?
If x represents the number of hours, which of the following equations could be used to solve the problem?
Click here to see answer by checkley77(12569)

Question 272919: Jack runs the mile in 3 minutes and 56.7 seconds. How long does it take him to run 2km at the same average speed? PLEASE SHOW HOW TO DO IT
Click here to see answer by rfer(12730)

Question 272907: how long does it take to drive 7 miles driving at the speed of 45 miles per hour?
Click here to see answer by checkley77(12569)

Question 272984: Mary drove miles in hours At the same rate, how many miles would she drive in hours?
Click here to see answer by stanbon(57979)

Question 272981: A plane flies at 170 mph for the first and last half hour of a flight. It flies at a higher constant speed for the rest of the flight. The route is 2020 miles. The plane is 920 miles from the destination 2 hours before the end of the flight.
How many hours is the entire flight?
I have gotten that it is between 4-5 hours but I cannot seem to workout the exact amount. Any help would be great and much appreciated!!
Click here to see answer by dabanfield(803)

Question 273022: a car travels 60 meters in 15 seconds.what is its speed?
Click here to see answer by stanbon(57979)

Question 273063: It took a boat 5 hours to travel upstream and back. The current was 3mi/hr and the return trip took 1 hour. What is the speed of the boat in still water?
Click here to see answer by stanbon(57979)

Question 273172: Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same route and averaged 30 miles per hour. If Esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning?

Click here to see answer by josmiceli(9817)

Question 273203: If a car is traveling 40 mph, represent how far it will go
Click here to see answer by stanbon(57979)

Question 273180: When it is noon eastern standard time (EST) in New York City, it is 9:00 AM. Pacific standard time (PST) in San Francisco. A plane took off from New York City at noon EST and arrived in San Francisco at 4:00 P.M. PST on the same day. If a second plane left San Francisco at noon PST and took exactly the same amount of time for the trip, what was the plane’s arrival time (EST) in New York City?

(A)10:00 P.M.EST (B) 9:00 P.M. EST (C) 7:00 P.M. EST (D) 6:00 P.M. EST (E) 4:00 P.M. EST

Click here to see answer by Alan3354(31534)

Question 273239: How long would it take someone running 5 mph to go around a 1260 foot track ?
Click here to see answer by Alan3354(31534)

Question 273239: How long would it take someone running 5 mph to go around a 1260 foot track ?
Click here to see answer by CharlesG2(828)

Question 273273: a train moving at a constant speed travels 180 miles in 4 hours. how far dose the train travle in 7 hours
Click here to see answer by 091494795(1)

Question 273281: 3.A knight wanted to visit a princess.
He had to arrive at 5:00pm
If he traveled at 15km per hour, he would arrive one hour too early
If he traveled at 10km per hour, he would arrive one hour too late.
At what time did he leave, what distance did he travel, and at what speed did he travel

Click here to see answer by ankor@dixie-net.com(15746)

Question 273339: what is the average speed of a vehicle that covers 250 miles in 2.5 hours
Click here to see answer by solver91311(17077)

Question 273355: If a boat uses 16 gallons of gas to go 80 miles, how many miles will it travel on 64 gallons of gas?
Click here to see answer by Alan3354(31534)

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