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Word Problems: Travel and Distance

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Question 183645: The organizers of a walking race want the racers to finish close together so some of the racers will be given head starts. The organizers wrote the equation y=40+2x for one racers and entered it into a graphing calculator. x is measured in seconds and y is measured in meters. What does 40 mean in the context of the race? What does 2 mean in the context of the race?
Click here to see answer by halbren(10)

Question 183627: A van travels for two hours at an average speed of 40 milles per hour. For how long must the van travel at an average speed of 55 miles per hour to raise the overall average speed to 45 miles per hour? What is the total time traveled.
Click here to see answer by ptaylor(1578)

Question 183713: How many pounds of hamburger that costs $1.60 per pound must be mixed with 70 pounds of hamburger that costs $2.10 per pound to make a mixture that costs $1.70 per pound.
Click here to see answer by stanbon(26252)

Question 183710: . A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
Click here to see answer by edjones(3291)

Question 183870: Joe traveled against the wind in a small plane for 3.2 hr. The return trip with the wind took 2.8 hr. Find the speed of the plane in still air is 170 mph.
Click here to see answer by Alan3354(6054)

Question 183868: Joanna took 30 min. to drive her boat upstream to water-ski at her favorite spot. Coming back later that day, at the same boat speed, took her 25 min. If the current in that part of the river is 5 km per hr. What is the average speed of the boat?
Click here to see answer by ptaylor(1578)

Question 183867: Cindy left by plane to visit her mother in Hartford, 420km away. Fifteen minutes later, her mother left to meet her at the airport. She drove the 20 km to the airport 40 km per hr, arriving just as the plane taxied in. What was the speed of the plane?
Click here to see answer by ptaylor(1578)

Question 183980: A university flew its football team round trip for a game with a rival team. The distance was 540 miles each way, and the round trip required a total flying time of 8.8 hours. Because of wind, the average speed of the plane in one direction was 30 miles per hour faster than it was in the opposite direction. What would be the speed of the plane in still air?
Click here to see answer by checkley77(7032)

Question 183982: An Airplane flies a roundtrip consisting of L miles each way. The average speed on the outward leg is 160 Miles per hour, and the average speed on the return leg is 240 miles per hour. Find the average speed for the entire trip.
I think that..
R=DT
160=100(T) so T=160/100
R=DT
240=100(T) so T=240/100...so, what now?
Click here to see answer by ptaylor(1578)

Question 183983: It takes Mary 30 minuites to walk uphill 1 Km from her home to school, but it takes her only 10 minuites to walk from school to home along the same route. What is her average speed, in Km/hr, for the round trip?
Click here to see answer by stanbon(26252)

Question 184033: Suppose you are at a river resort and rent a motorboat for 5 hours starting at 7am. You are told that the boat will travel at 8 miles per hour upstream and 12 miles per hour returning. you decide that you would like to go as far up the river as you can and still be back at noon. at what time should you turn back, and how far from the resort will you be at that time?
Click here to see answer by ptaylor(1578)

Question 184082: A man rowing at the rate of 5 km/hr in still water takes thrice as much time in going 40 km upstream as he takes in going same distance downstream. find the rate at which water is flowing.
Click here to see answer by ankor@dixie-net.com(6689)

Question 184013: A plane in calm air travels 150 MPH. In wind, it travels 180 miles, turns around and travel back 180 miles with a total travel time of 2.5 hours. What is the rate of travel for with wind and against wind?
Click here to see answer by ptaylor(1578)

Question 184160: The cost of a class picnic was $42. If 14 more students had come, the cost per student would have been 20 cents less. How much is the cost per student?
Click here to see answer by stanbon(26252)

Question 184158: A man has a swimming pool in the form of a square. He constructs a cement walk 6 feet wide around the pool and finds that the area of the walk is exactly 1/2 the area of the pool. What is the length of the pool?
Click here to see answer by stanbon(26252)

Question 184156: The school's custodian is mowing the grass on the football field by cutting a border around the field. The field is 120 yards long and 50 yards wide. How wide will the border be when he has mowed half of the area of the football field?
Click here to see answer by ankor@dixie-net.com(6689)

Question 184155: A jet, traveling at an average speed of 420 miles per hour in still air, flew 240 miles and back in 1 hour and 10 minutes. What is the average speed of the wind in mph?
Click here to see answer by ptaylor(1578)

Question 184237: a plane makes a trip of 5040 km in 7h, flying with the wind. Returning against the wind, the plance makes the trip in 9h. What is the speed of the wind?
Click here to see answer by ptaylor(1578)

Question 184409: Marilou leaves the house at 7:00 for a bike ride and she pedales at an average speed of 15km/h.Her dad, leaves the house at 9:15.He tales the same track as marilouu, but he is in a car traveling at an average speed of 40km/h.Whan will marilou overtake her dad???????????????? pleaseeeeeeeeeeee helpppppppppppppppppppppppppppppppppppppppppppppppppp !!!!!!!!!!!!!!!!
Click here to see answer by checkley77(7032)

Question 184408: Bill and Sally go climbing together. Sally begins 30 minutes b efore Bill at 1pm. Sally averages 18 fee/min and bill averages 20 feet/min. What time will Bill catch Sally?
Click here to see answer by checkley77(7032)

Question 184391: A 600 mile trip takes 4 hours flying against the wind but only 3 hours flying with the wind. Find the plane's rate in still air and the speed of the wind.
Click here to see answer by checkley77(7032)

Question 184448: A boy rows 6 miles downstream in 64 minutes. He rows back at the same rate in 180 minutes. Find the rate of the stream and the boy's rate in still water.
Click here to see answer by stanbon(26252)

Question 184443: An airplane pilot finds he can go 72 miles in 35 minutes when traveling with the wind. He finds it takes him 44 minutes at the same airspeed to go 57 miles against the same wind. Find the speed of the wind and the airspeed of the plane.
Click here to see answer by checkley77(7032)

Question 184666: Jaypee and Vic started driving from the same point going opposite directions. their rates are 60kph and 70kph, respectively. After how many hours will they be 650 kilometers apart?
Click here to see answer by solver91311(5072)

Question 184850: A boy walked 10 kilometers. He returned in a car at the rate of 30 kilometers an hour. He was gone for 4 hours. What was his rate while walking?
Click here to see answer by solver91311(5072)

Question 184854: The rate of one plane is 80 kilometers an hour less than taht of a second. If the first plane takes 6 2/3 hours to travel the same distance that the second plane travels in 4 hours, find the rate of each.
Click here to see answer by ankor@dixie-net.com(6689)

Question 184851: A bus averages 6 kilometers an hour less than a passenger car. The bus travels 80 kilometers in the same time that the car travels 112 kilometers. Find the rate of each.
Click here to see answer by HyperBrain(694)

Question 184926: 2 cars leave town at same time going same direction. 1 travels at 40mph, and the other traves at 52 mph. In how many hours will they be 24mi apart?
Click here to see answer by Alan3354(6054)

Question 184929: Airplane travels 700miles agains wind in 4 hours. And makes a return trip with the same wind in 1 hour. Find speed of wind.
Click here to see answer by checkley77(7032)

Question 184982: A bus with 12 soccer players broke down in a town 20 miles from its destination. The coach’s car was available but could carry only 4 players at a time. Also, it could travel only 20 miles per hour because of the traffic. The players said they could walk at 4 miles per hour when they were not riding. Suppose the coach took 4 of them part way, came back for 4 more and took them part way, and then came back for the last 4. How could they all get to their scheduled soccer game at the same time?

Click here to see answer by Edwin McCravy(2920)

Question 185113: A Porsche and a VW Bug that were 450 miles apart traveled toward each other. They met after 5 hours. If one car traveled twice as fast as the other, what were their speeds?
Click here to see answer by edjones(3291)

Question 185118: A certain plane flying with the wind travels 540 mi in 2 hours. Later, flying against the same wind, the plane travels 690 mi in 3 hours. Find the speed of the plane in still air and the speed of the wind.
Click here to see answer by solver91311(5072)

Question 185138: IT TAKES A PASSENGER TRAIN 2HOURS LESS TIME THAN IT TAKES A FREIGHT TRAIN TO MAKE THE TRIP FROM CENTRAL CITY TO CLEAR CREEK.
THE PASSENGER TRAIN AVERAGES 96KM/H WHILE THE FREIGHT TRAIN AVERAGES 64KM/H
HOW FAR IS IT FROM CENTRAL CITY TO CLEAR CREEK?
Click here to see answer by J2R2R(44)

Question 185140: AN AIRPLANE FLEW FOR 4.23 HOURS WITH A 25.5KM/H TAIL WIND.
THE RETURN FLIGHT AGAINST THE SAME WIND TOOK 4.97HOURS.
FIND THE SPEED OF THE PLANE IN STILL WATER.
Click here to see answer by Alan3354(6054)

Question 185341This question is from textbook Beginning Algebra with Applications
: A passenger train leaves a train depot 2 hours ago after a freight train leaves the same depot. The freight train is travelling 20mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 3 hrs.This question is from textbook Beginning Algebra with Applications

Click here to see answer by Alan3354(6054)

Question 185425This question is from textbook
: The distance from the earth to the sun is 93 million miles. The speed of light is 9.8 x 10^8 feet per second. How long does it take light to get from the sun to the earth?This question is from textbook

Click here to see answer by feliz1965(151)

Question 185613: How long would it take to drive 350 miles at 55 miles an hour.
Click here to see answer by checkley77(7032)

Question 185661: Trains a and B are traveling in the same direction on parallel tracks. Train A is traveling 40 mph and train B at 48 mph. Train A passes a station at 6:20 p.m. If train B passes the same direction at 6:50 p.m, at what time will train B catch up to train A
Click here to see answer by checkley77(7032)

Question 185854: 1) Officer Falheed and Officer O'Connell are 240km apart. They need to meet to transfer a suspect from one car to the other. They agree to leave at the same time, drive towards each other, and meet along the route. Falheed averages 70k/hr and O'Connell averages 80k/hr. How long will it take the teo to meet each other to transfer the suspect
a) 1 hr 36 min b) 1 hr 46 min c) 2 hr 36 min d) 2 hr 46 min
2) A motorcycle traveling 60mph overtakes a police patrol car traveling at 40mph that had a 3hr head start. How far from the starting point are the two vehicles?
a) 360miles b) 279 miles c) 187 miles d) 290 miles
3) A certain trip took 40 min to complete. If half the distance was 100 and the other half at 60, what's the distance traveled during the trip?
a) 68 b) 50

Click here to see answer by checkley77(7032)

Question 185847: Two cars start together and travel in the same direction, one going twice as fast as the other. At the end of 3 hours, they are 96 miles apart. How fast is each car traveling?
Click here to see answer by checkley77(7032)

Question 185717: A bus leaves a station in Phila at 1 pm and travels east on the pa turnpike traveling at an avg 40 miles per hour. A motorcycle leaves the same bus station at 1:30 pm and travels the same route as the bus. If the motorcycle avgs 60 mph, at what time will the motorcycle pass the bus?
I need to define the variables and create 2 equations. I have the answer of 2:30 but cannot derive the equations I need to get to this answer.
Even my parents can't figure it out.
Click here to see answer by checkley77(7032)

Question 186407: From a point on a straight road, john and fred ride bicycles in opposite directions. john rides 5 miles per hour and fred rides 14 miles per hour. in how many hours will they be 57 miles apart?
Click here to see answer by josmiceli(3003)

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