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

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Question 318875: During the first part of a trip a canoeist travels 49 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed of 5mph slower. The total time for the trip is 3hrs. What was the speed on each part of the trip?
Click here to see answer by ankor@dixie-net.com(15659)

Question 319190: Samia walks for a time at 4mph, then slows down and walks at 3.2mph. The total distance she walked was 6 miles. If she walked for 0.5 hour more at 3.2 mph than she did at 4mph, determine the time Samia walked at 4mph.
Click here to see answer by ankor@dixie-net.com(15659)

Question 319228: THE SPEED OF A BOAT IN STILL WATER IS 8 KM/HR.IF HE TAKES SAME TIME IN GOING 20 KM DOWNSTREAM AS IT TAKESIN GOING 12 KM UPSTREAM,FIND THE SPEED OF RIVER?
Click here to see answer by stanbon(57377)

Question 319246: If you are travling on a high way for 60mph how long will take you to travel 150 miles?
Click here to see answer by mananth(12270)

Question 319183: Bert is 19.5 kilometers away from Brenda. Both begin to walk toward each other at the same time. Bert walks at 4.5 kilometers per hour. They will meet in 3 hours. How fast is Brenda walking?
Click here to see answer by josmiceli(9697)

Question 319256: This is a former test question. I have made many attempts but cant solve it.
Q.
A car travel at 40 km/hr and can get a range of 400km.
If it travels at 80 km/ hr it is 4 times less fuel efficient.
What is the quickest time the car can travel 240 km hr
A. My answer so far...
the car travels a mixture of high and low speed. The question asks for the "quickest time", but this time will occur when the high speed component of travel is at its maximum (for this range)
So I think to answer the question, i need to find a formula to express the distance traveled (240 km) in terms of distance traveled at low speed and high speed, and then maximize it for high speed travel, yes?

some maths...

lets say fuel tank has T lt
efficiency at low speed = 400/T (km/lt)
efficiency at high speed = 100/T (km/lt) - because 4 times less efficient
then distance traveled = 240 km = distance traveled at slow speed (Ds)+ distance traveled at high speed (Dh)
Ds = (400/T)*Slow liters ( km/lt fuel efficiency * slow travel liters used)
Df = (100/T)*fast liters
After this i get lost in the maths and think maybe i am taking the wrong approach.
Any ideas will help me
Regards
Adam

Click here to see answer by Fombitz(13828)

Question 319172: a passenger train leaves a train depot three hours after a freight train leaves the same depot. the freight train is traveling 8 mph slower than the passenger train. find the rate of the passenger train if the passenger train overtakes the freight train after 12.75 h
Click here to see answer by nyc_function(2733)

Question 319328: In a walk-a-thon to raise money for charity, Elisa walked a certain distance at 5 mph and then jogged twice that distance at 8 mph. Her total time walking and jogging was 2 hours and 15 minutes. How far did Elisa get?
Click here to see answer by stanbon(57377)

Question 319290: A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long will the express train take to overtake the freight train?
Click here to see answer by Fombitz(13828)

Question 319424: George drives the first 30 miles of a trip at a constant rate of 40 miles per hour. If he drives the remaining 75 miles of the trip at a constant rate of 50 miles per hour, what is his average speed for the entire trip?
Click here to see answer by mananth(12270)

Question 319437: In still water a tugboat can travel 15 miles per hour. It travels 36 miles upstream and then 36 miles downstream in a total time of 5 hours. Find the speed of the current.
Click here to see answer by josmiceli(9697)

Question 319465: If a car travels 1/4 miles in 20 seconds, how fast is it going
Click here to see answer by Alan3354(30993)

Question 319503: Speed of an airplane. When there is a 50-mile per hour wind, an airplane can fly 675 miles with the wind in the same time that it can fly 450 miles against the wind. Find the speed of the plane when there is no wind.
Click here to see answer by stanbon(57377)

Question 319521: Ms. Walker drives to work at a speed of 60 miles per hour. On her trip home from work, she travels along the same route at a speed of 40 miles per hour. If her round trip takes 1 hour to complete, how many miles does Ms. Walker drive each way?
Click here to see answer by stanbon(57377)

Question 319516: It takes one employee 3 hours longer to mow a football field than it does a more experienced employee. Together they can mow the grass in 2 hours. How long does it take for each person to mow the football field working alone?
Click here to see answer by ankor@dixie-net.com(15659)

Question 319481: two cars leave a point at the same time,travelling in opposite directions.
one car is driving 16km/h faster than the other.After four and half hours,
the cars are 855km apart.Find the speed of each car.
Click here to see answer by checkley77(12569)

Question 319676: A plane travels from Chicago to Los Angeles at 560mph and a hour later a plane travels from Los Angeles to Chicago at 640mph. It is 1800 miles from Chicago to Los Angeles. How long will it take for the first plane to pass the second plane? How far from Chicago will they be at thay time?
Click here to see answer by stanbon(57377)

Question 319688: Please help me solve the following problem:
Thalia drove her car 180 miles north at a constant rate and returned 180 miles south traveling 15 mph slower than she did when she traveled north on the same route. If the return trip took her an hour longer, how fast was she traveling northbound?

Click here to see answer by checkley77(12569)

Question 319882: I trvel 2miles in 18 minutes , how fast was I walking ?
Click here to see answer by rfer(12666)

Question 319865: Train A and B are traveling in the same direction on parallel tracks, Train A istraveling at 100 MPH and Train B is traveling at 110 MPH. Train A passes a station at 9:10 AM, If Train B passes that same station at 9:22 AM at what time will Train B catch up to Train A???
Can you please show me how to solve this equation?
Click here to see answer by rfer(12666)

Question 319921: An airplane takes 9 hours to travel a distance of 6480km against the wind. The return trip takes 8 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
Click here to see answer by checkley77(12569)

Question 319990: A person running an 800-meter race averages 130 meters per minute for the first 3/4 of the race. The average speed for the remainder of the race is 145 meters per minute. What is the person's average speed for the entire 800 meters rounded to the nearest whole number?
Click here to see answer by mananth(12270)

Question 320006: A train travels 473 miles in 7.32 hours. Find the train's average speed in miles per hour.
Click here to see answer by unlockmath(1603)

Question 320019: A boat goes 15 miles per hour in still water. If it can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Click here to see answer by stanbon(57377)

Question 320038: A bank robber holds up a bank and speeds away on the freeway at 80 miles per hour. Thirty minutes later, police officers, having gotten a description from people at the bank, take off in pursuit at 90 miles per hour. How long will the police have to drive to catch up, and how far from the bank will they catch the robber?
Click here to see answer by mananth(12270)

Question 320064: can you please help me solve this problem?
write an algebraic expression and simplify if possible: The distance traveled in t hours at an average speed of 55 miles per hour.
thank you.
Click here to see answer by Sunny Day(15)

Question 320177: •A car and a bus set out at 2 p.m. from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours, the car is 20 miles ahead of the bus. Find the rate of the car.
Click here to see answer by stanbon(57377)

Question 320236: if sally can paint a house in 4hrs and john can paint the same house in 6hrs, how long will it take for both of them to paint the house together
Click here to see answer by Edwin McCravy(8909)

Question 320244: A baseball player runs from first base to second base at an average speed of f meters per minute and from second base to third base at an average speed of f+4 meters per minute. If the distance d, in meters, from first base to second base is the same as the distance from second base to third base, which of the following represents the average speed at which the player runs from first-to-second-to-third base?
Click here to see answer by checkley77(12569)

Question 320330: A can do a work in 32 days and B in 40 days. they work together for 10 days and then B left. In how many days A will finish the remaining work??
Click here to see answer by mananth(12270)

Question 320331: Ann is driving a motorboat across a river that 2 km wide. The boat has a speed of 20 km/h in still water, and the current in the river is flowing at 5km/h. Ann heads out from one bank of the river for a dock directly across from her on the opposite bank. She drives the in a direction perpendicular to the current. How far downstream from the dock will Ann land? And how long to cross the river?
Click here to see answer by Theo(3464)

Question 320373: Jim and Ryan run laps around a track which is 1 /4 of a mile long. If Jim runs h laps per hour, Ryan runs half as fast as Jim, and Jim starts running half an hour before Ryan, how many miles farther than Ryan has Jim run two hours after Jim starts?

Click here to see answer by Theo(3464)

Question 320421: A train leaves the station traveling due east at a rate of 45 miles per hour. A second train leaves a different station an hour later, traveling due west on the same track, going 60 miles per hour. If the stations are 255 miles apart, how many miles from the halfway point between the stations will the trains collide?
Click here to see answer by Fombitz(13828)

Question 320476: Dick can run the 440 yard dash in 55 seconds, and Jack can run it in 88 seconds. How great a handicap must Dick give Jack for the boys to finish the race at the same time?
Click here to see answer by CharlesG2(828)

Question 320481: With a certain tail wind an airplane reached its destination, 630 miles away, in 1½ hours. Flying back against the same wind, the plane took 15 minutes longer to make the trip. Find the wind speed and the plane's airspeed
Click here to see answer by ankor@dixie-net.com(15659)

Question 320478: A private plane can make a 125-mile trip in half an hour when flying against a certain headwind. Flying with the same wind, it can make the trip in 25 minutes. Find the speed of the wind and the plane's airspeed.
Click here to see answer by checkley77(12569)

Question 320563: If 2.5 inches on a map represents 79 miles on the road, then how many miles does 3.8 inches represent.
Click here to see answer by checkley77(12569)

Question 320479: The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which the boat travels in still water is 5 times the rate of the river current, what is the rate of the current?
Click here to see answer by ankor@dixie-net.com(15659)

Question 320599: During the first part of a trip a conoeist travels 54 miles at a certain speed. The conoeist travels 8 miles on the second part of the trip at a speed 5mph slower. Total time of the trip is 3hrs. What was the speed of each part of the trip?
Click here to see answer by nyc_function(2733)

Question 320626: A truck and plane leave the same area at the same time and head for a town 450 miles away. The plane is three times the speed of the truck and arrives 6 hours ahead of the truck. Find the speed of the truck.
Click here to see answer by mananth(12270)

Question 320645: how many miles did a car travel in 6 hours if it was travelin at a speed of 60km/hr?

Click here to see answer by mananth(12270)

Question 320581: Chantal walked 6300 meters at the speed of 1200 meters per hour. How long did it take her to walk that distance?
A 5 hours B 5 hours & 5 minutes C 5 hours & 10 minutes D 5 hours & 15 minutes
Click here to see answer by mananth(12270)

Question 320518: Two trains leave the same city at the same time, one going north and the other east. The northbound train travels 20 mph faster than the east bound one. If they are 300 miles apart after 5 hours, what is the speed of each train?
Click here to see answer by mananth(12270)

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