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Word Problems: Travel and Distance

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Question 102408: if tory averaged 52 mph on state highways and 62 mph on interstate highways on her 450 mile trip and her driving time was 7 hours and 45 minutes, how long did she travel on interstate hightway and how many miles did she travel on state highways?
Click here to see answer by oberobic(93)

Question 102340: 1. A heavy freight train leaves New York for Chicago at 7 A.M., going 40 miles an hour. Another train follows at 7:30 A.M., going 50 miles an hour. At what time does the second train overtake the first, and how far from New York?
4. A boat left X at 8 A.M., going 30 miles an hour. At 9:30 A.M. it had engine trouble that delayed it for 1 hour. Then it continued at the reduced speed of 10 miles per hour. A second boat left X at 10:30 A.M. and traveled 40 miles per hour. At what time did the second boat overtake the first boat. How far from X was the meeting point?
I don't even know how to set this problem up. Thanks for the help!
Click here to see answer by bucky(1732)

Question 102470: what distance can a car travel in 45 minutes at a speed of 60 km/h?
Click here to see answer by jim_thompson5910(13785)

Question 102472: You shoot an arrow straight up at 50 m/s. When will it run out of speed?

Click here to see answer by stanbon(26251)

Question 102409: If Tory averaged 52 mph on state highways and 62 mph on interstate highways on her 450 mile trip and her driving time was 7 hours and 45 minutes, how long did she travel on interstate highways and how many miles did she travel on state highways? Write an equation for this problem that relates time and distance, where t=the time Tory traveled on state highways.
Click here to see answer by mjgulinello(10)

Question 102480: It takes 1 hour longer to fly to St. Paul at 200 mi/h than it does to return at 250 mi/h. How far away is St. Paul?
Click here to see answer by mjgulinello(10)

Question 102404: Mary and Jocelyn are sisters. They left the school at 3:00 P.M. and bicycled home along the same bike path. Mary bicycled at a speed of 12 mi/h. Jocelyn bicycled at 9 mi/h. Mary got home 15 min. before Jocelyn. How long did it take Mary to get home?
Define a variable(s), set up and solve.
Click here to see answer by josmiceli(3003)

Question 102347: A plane is passing over the Taj at noon going 450 mile per hour and it's altitude is m feet. Write a function for the distance away from the Taj the plane is.
Click here to see answer by stanbon(26251)

Question 102560: The speed of an airplane in still air is 248 mph. The plane travels 816 mi agains the wind and 1479 mi with the wind in a total time of 19 hr. What is the speed of the wind?
Click here to see answer by josmiceli(3003)

Question 102627: A girl running at a constant speed of 1.4m/s in a straight line throw a ball directly upward at 4.7 m/s. How far will she travel before the ball drops back into her hand? Ignore air fiction.

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

Question 102667: A car travels 15 kilometers per hour faster than a truck. The car goes 360 kilometers in 2 hours less time than it takes the truck to travel the same distance. Find the speed of the truck and the car.
Click here to see answer by ankor@dixie-net.com(6686)

Question 102770This question is from textbook Beginning & Intermediate Algebra
: Two planes are 6,000 miles apart, and their speeds differ by 200 mph. They travel toward each other and meet in 5 hours. Find the speed of hte slower plane.This question is from textbook Beginning & Intermediate Algebra

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

Question 102852: Dorothy drives 10 kilometers, then increases her speed by 10 kilometers per hour and drives another 25 kilometers. Find her original speed if she drove for 45 minutes.
Please help me with this!! Thanks!! I can't understand how to answer this!!
Click here to see answer by ankor@dixie-net.com(6686)

Question 102968: a promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. if joe's phone bill was $43 under this promotional deal, how many minutes of phone calls did he make? round to the nearest interger, if necessary.
Click here to see answer by tutor_paul(424)

Question 102989: 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.
d=rt
d=(24-18)4.9
d=(6)4.9
d=29.4
I'm concern whether or not my answer is correct.

Click here to see answer by Fombitz(2113)

Question 102978: The distance it takes to stop a car varies directly as as the square of the speed of the car. It takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 62 miles per hour?
Click here to see answer by Fombitz(2113)

Question 103023: A road has a slope of 5/100. If you drive 3 miles on the road, what is your change in altitude (vertical distance)?
Click here to see answer by edjones(3291)

Question 103091: Jon leaves for chicago at 3:30. At 5:00 Karl leaves from the same place and heads for Chicago. If Jon averages 50 miles per hour and Karl averages 62 miles per hour, what time does Karl overtake Jon?
Click here to see answer by oberobic(93)

Question 103110: marylin drove her car from amarillo to dallas at an average rate of 55 miles per hour and returned over icy roads averaging only 30 miles per hour.find the time going and returning if the time returning was 4 hours more than the time going

p.s this is a work sheet
Click here to see answer by oberobic(93)

Question 103082This question is from textbook

: A subway train makes six stops of equal length during its 21 km run. The train is actually moving for 20 mins of the trip. At most how long can the train remain at each station if the average speed for the trip, including stops, is to be at least 36km/hr?This question is from textbook

Click here to see answer by oberobic(93)

Question 103059: Helen traveled a distance of 20x+40 miles at 20 miles per hour on the yellowhead highway. find the binomial that represents the time that she traveled
Click here to see answer by Fombitz(2113)

Question 103225: One student can mow a yard in 3 hours; another student, in 4 hours. About how long would it take if they work together? Please show me how you got the answer.
Click here to see answer by edjones(3291)

Question 103228: Please help me! Thank you.
This is from a worksheet:
Crew A and Crew B are digging a tunnel. Crew A starts at the west end and digs at a rate of 9 meters a day. Crew B starts 2 days later at the east end at the rate of 12 meters per day. How many days will it take for both crews to dig the same number of meters? The length of the tunnel is to be 2118 meters. How many days does it take to dig the tunnel from when Crew A starts?

Click here to see answer by scott8148(3382)

Question 103224: A real estate agent earns $5000 on a sale of a $120,000 house. What would be the commission on a $200,000 house?
Click here to see answer by HyperBrain(694)

Question 103003: Leonardo flies from kansas city to St. louis in 30 minutes. The air distsance is 175 miles. What is the speed of the plane?
Click here to see answer by HyperBrain(694)

Question 103360: 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?
Click here to see answer by stanbon(26251)

Question 103362: A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by checkley75(3666)

Question 103458: I need help please with this one...thank you!!!
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.
Click here to see answer by checkley75(3666)

Question 103460: Ariana took 2 h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the seond day. If her speed was the same on both days, what was the driving time each day?
Please help...thank you!
Click here to see answer by checkley75(3666)

Question 103462: Word problems are not my stong suit...please help.
A plane flies 720 mi against a steady 30-mi/hr headwind and then returns to the same point with the wind. If the entire trip takes 10 h., what is the plane's speed in still air?
Click here to see answer by checkley75(3666)

Question 103484: Kim traveled a total of 10 km. in 50 minutes.
Sasha traveled 10 km. in 55 minutes.
Barry did 10km. in 60 minutes.
What is their average speeds?
Click here to see answer by checkley75(3666)

Question 103439: A car travels a distance of 1742 miles at an average rate of 40 mph and returns at an average rate of 55 mph. Find the average rate for the round trip to the nearest tenth?
Click here to see answer by checkley75(3666)

Question 103445: two cyclists, 90 km apart, start riding toward each other at the same time. one cycles twice as fast as the other. If they meet 2 hours later at whatspeed are they traveling?
Click here to see answer by checkley75(3666)

Question 103379: Robert can drive 40 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Robert's rate on the side road is 7 miles an hour faster than his rate on the freeway, find his rate on the side road. I need help contructing the equation to solve for the rate. I am confused because there is no time given.
Click here to see answer by scott8148(3382)

Question 103550: A cyclist rides D km at a rate of X km/hr and returns D km at a rate of Y km/hr. Write an expression representing the average rate in terms of X,Y and D. Simplify this expression if you can.
rate=distance/time
Total distance = 2D
rate=Total Distance/Total Time
I can't figure out how to get the total time in terms of X and Y. Can you help?
Thanks!
Click here to see answer by stanbon(26251)

Question 103361: 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 eacy way?
Click here to see answer by ankor@dixie-net.com(6686)

Question 103606: An airplane flies 1,000 due east in 2 hours and 1,000 due south in 3 hours. What is the average speed of the airplane?
This is what I did:
((1,000/2)+(1,000/3))/2
Click here to see answer by edjones(3291)

Question 103623: It takes 175 seconds for Sarah to walk from her house to the store and back. Going there she walks at 3 ft/sec and on the way back at 4 ft/sec. How long did it take her to walk to the store?
Click here to see answer by stanbon(26251)

Question 103532: two people in a canoe travel 6 mi upstream against a 2mi/h current. They then returned to the same point downstream. If the entire trip took 4 hours, how fast can they paddle in still water?
Click here to see answer by ptaylor(1578)

Question 103605This question is from textbook Precalculus
: To get to work Sam jogs 3 kilometers to the train, then rides the remaining 5 kilometers. If the train goes 40 km per hour faster than Sam's constant rate of jogging and the entire trip takes 1/2 hour how fast does Sam jog?This question is from textbook Precalculus

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

Question 103764: During rush hour, Fernando can drive 40 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando's rate on the side roads is 7 mi/h faster than his rate on the freeway, find his rate on the side roads.

Click here to see answer by scott8148(3382)

Question 103755: A consultant traveled 8 hours to attend a meeting. The return trip took only 7 hours because the speed was 3 miles per hour faster. What was the consultant's speed each way?
Click here to see answer by oberobic(93)

Question 103824: Mr. West drove his car from home to Chicago at the rate of 40 mph. and returned at a rate of 45 mph. If his time going exceeded his time returning by 30 minutes, find his time going and his time returning.

time going:
time returning:

Thanks!!
Click here to see answer by scott8148(3382)

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