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

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Question 217822: On the first part of a 317-mile trip, a salesperson average 58 miles per hour. The salesperson averaged only 52 miles per hour on the last part of the trip because of an increased volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speeds.

Click here to see answer by ankor@dixie-net.com(15656)

Question 218131: at 10:00 am a car leaves a house at a rate of 60mi/h at the same time another car leaves the same house at a rate of 50 mi/h in the opposite direction at what time will they be 330 miles apart
Click here to see answer by rfer(12662)

Question 218139: A runner starts at the beginning of a runners' path and runs at a rate of 6 miles per hour. Five minutes later a second runner begins at the same point, running at a rate of 8 miles per hour and following the same course. How long will it take the second runner to reach the first?
Click here to see answer by rfer(12662)

Question 218167: if a train speeds at 80 km/h how far will it travel in 2 days if it does not stop?
2 days = 48 hours
80 kms. travel of train in one hour
then: 80 x 48= 3,840kms.
Click here to see answer by abner_t_fernandez(1)

Question 218192: A train traveling at 40 MPH leaves for a certain town. One hour later a bus traveling at 50 MPH leaves for the same town and arrives at the same time as the train. If both train & bus traveled in a straight line how far is the town from where they started?
Click here to see answer by ankor@dixie-net.com(15656)

Question 218316: Two row boats are traveling at a steady speed of 10 miles/hr straight toward each other. At the moment when they are 40 miles apart, a messenger pigion takes off from one of the boats and flies at a steady speed of 25 miles/hr directly to the other boat. It touches the second boat, turns around instantly, and returns at the same steady speed to the first boat. When it touches the first boat, it instantly turns around again and heads directly back to the second boat. The pegion repeats this back and forth flight pattern over and over again at the same speed until the boats meet. From the moment the pigion took off from the firts boat until the final meting of the boats, how much was the pegions total mileage? Justify your answer.
Click here to see answer by ankor@dixie-net.com(15656)

Question 218364: you enter a 10 Km road race. If one mile is 1.6 km, how far is thhe race in miles?

Click here to see answer by user_dude2008(1861)

Question 218291: Trains A and B leave the same city at right angles at the same time. Train A travels 14 km/h faster than train B. After 5 h, they are 130 km apart. Find the speed of each train.
Click here to see answer by ankor@dixie-net.com(15656)

Question 218388: A boat travels 60 km upstream, (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. What is the rate of the boat in still water?

Click here to see answer by checkley77(12569)

Question 218288: You need to choose between two telephone plans for local calls. Plan A charges $25 per month for unlimited calls. Plan B has a monthly fee of $13 with a charge of $0.06 per local call. How many local telephone calls in a month make Plan A the better deal?
Click here to see answer by checkley77(12569)

Question 218395: A boat travels 60 km upstream, (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. What is the rate of the boat in still water?

Click here to see answer by checkley77(12569)

Question 218490: a woman jogging at 6 miles an hour passes a man riding his bicycle. What does this mean? my e-mail address is laci90h@yahoo.com
Click here to see answer by Alan3354(30993)

Question 218477: If I am riding a bike in the country and I ride 6 kilometers the first hour, 3 kilometers the second hour and 6 kilometers the third hour, What is my average speed for the whole trip?
Click here to see answer by checkley77(12569)

Question 218663: Two automobiles travel in opposite directions from the same starting point. If the speed of one is twice the speed of the other and they are 190.0 km apart at the end of 2.0 h, what is the speed of the slower car (in m/s)?
Click here to see answer by josmiceli(9686)

Question 218393: the question reads: In a bicycle race, Lionel gives Robert a 500 meter advantage. Lionel also agrees to start 15 minutes after Robert. If Lionel bikes at 17 km/h and Robert at 14 km/h how long will it take Lionel after he starts biking to overtake Robert?
so I set up a chart:
Time x Rate = Distance
Lionel t+1/4 17 d + 1/2 (km)
Robert t 14 d
then I have the equations:
17(t+1/4) = d + 1/2 and 14t=d
so I solve:
17t + 17/4 = 14t + 1/2
3t = -15/4
and i get t = to a negative number
how is that possible?

Click here to see answer by ankor@dixie-net.com(15656)

Question 218891: a car going 60 mph overtakes a bus traveling at 45 mph that had a 2 hour head start. How far from the starting point are the vehicles??
Click here to see answer by ankor@dixie-net.com(15656)

Question 219078: I already tried 30/60*10/60.
Click here to see answer by user_dude2008(1861)

Question 219069: If a train traveling at 30 m/s brakes to a stop in 1 minute, what is it's acceleration?
Click here to see answer by Alan3354(30993)

Question 219069: If a train traveling at 30 m/s brakes to a stop in 1 minute, what is it's acceleration?
Click here to see answer by solver91311(16897)

Question 219041: what is the distance between the stoping point of a truck if it is going 30 mph
Click here to see answer by Alan3354(30993)

Question 219143: if you travelled 105 miles in 1 hr 45 minutes what is your average speed
Click here to see answer by user_dude2008(1861)

Question 219131: if a man is going 12 mph on a bike and a women is jogging 6 mph after ten minutes of passing how far apart will they be?
Click here to see answer by checkley77(12569)

Question 219153: how long will it take to drive 50 feet at 25mph?
Click here to see answer by josmiceli(9686)

Question 219153: how long will it take to drive 50 feet at 25mph?
Click here to see answer by checkley77(12569)

Question 219289: A homing device left its home to deliver a mesage. on takeoff, the device encountered a tailwind of 15 mph and made the delivery in 5 minutes. The return trip into the wind took 10 minutes. How fast does the device fly in still air?

llaws@mrhs.com

Click here to see answer by stanbon(57361)

Question 219364: Two cyclists, 120 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?

Click here to see answer by rfer(12662)

Question 219396: Elisa walked a certain distance at 5mi/h and then jogged twice that distance a 8 mi/h. Her total time walking and jogging was 2 hr and 15 min. How many miles did she walk?
I am trying to use the formula time= distance/ rate
I set d egual to distance walked at 5mi/h and 2d to distance walked at 8mi/hr
d/5+2d/8=135
Im lost at this point ,cant seem to see what im doing wrong
any help would be greatly appreciated

Click here to see answer by ptaylor(2048)

Question 219468: I left Work at 4:11 p.m. and was stopped by highway patrol 13.2 miles or 23 minutes later at 4:34 p.m. How fast was I traveling ?
Click here to see answer by Alan3354(30993)

Question 219466: John is traveling to a meeting that is 28 miles away. He needs to be there in 30 min. How fast does he need to go to make it to the meeting on time?
Click here to see answer by Earlsdon(6287)

Question 219248: an aircraft flew 6 hours with the wind. the return trip took 7 hours against the wind if the speed of the plane in still air is 13 times the speed of the wind, find the wind speed and the speeed of the plane in an algebraic linear system.
Click here to see answer by checkley77(12569)

Question 219376: Elisa walked a certain distance at 5mi/h and then jogged twice that distance a 8 mi/h. Her total time walking and jogging was 2 hr and 15 min. How many miles did she walk?
I am trying to use the formula time= distance/ rate
I set d egual to distance walked at 5mi/h and 2d to distance walked at 8mi/hr
d/5+2d/8=135
Im lost at this point ,cant seem to see what im doing wrong
any help would be greatly appreciated
Click here to see answer by solver91311(16897)

Question 218997: On a trip I drive 4 hours at rate r mph I then drive 6 hours at a rate 40 mph. My total distance is 480 miles. Find r

Click here to see answer by ankor@dixie-net.com(15656)

Question 219606: If a car is traveling at 40 miles per hour on a country highway, what is its spped in feet per second?
Click here to see answer by nerdybill(6962)

Question 219606: If a car is traveling at 40 miles per hour on a country highway, what is its spped in feet per second?
Click here to see answer by Earlsdon(6287)

Question 219636: THe straight line distance from sandy beach to lake serenity on the mape is 1 and 1/2inches. What is the straight line distance for the same two towns in miles. reminder** scale= 1/4 inches equal 6 miles.
Click here to see answer by checkley77(12569)

Question 219674: A train leaves the station at 6 pm traveling west at 80 mph. On a parrell track, a second train leaves the station 3 hours later traveling west at 100 mph. At what time will the second train catch up with the first?
Click here to see answer by rfer(12662)

Question 219687: You and your friend part at an intersection. You drive off north at 50 mph, and your friend drives east at 50mph. After three hours the distance between you and your friend is how many miles?
Click here to see answer by solver91311(16897)

Question 219721: Alan and Dave leave from the same point driving in opposite directions. Alan driving at 55 miles per hour and Dave at 65 mph. Alan has a one hour head start. How long will they be able to talk on their car phones if the phones have a 250 mile range?
Click here to see answer by checkley77(12569)

Question 219694: Two trains leave a station. One train is traveling north at 60mph and the other is traveling south at 54mph. In how many hours will the two trains be 342 miles apart?
Click here to see answer by checkley77(12569)

Question 219758: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4 mph current it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(15656)

Question 219809: erin and susan both took their dogs for a walk. together they walked 15 miles. if erin walked 3 miles less than susan, how far did susan walk with her dog?
Click here to see answer by checkley77(12569)

Question 219808: Fred begins to walk toward John's house at 3 mph. John leaves his house at the same time and walks toward Fred's house on the same path at a rate of 2 mph. How long will it be before they meet if the distance between the houses is 4miles?
Click here to see answer by checkley77(12569)

Question 219805: At 10 am, a car leaves a house at a rate of 60 mph. At the same time, another car leaves the same house at a rate of 50 mph in the opposite direction. At what time will the cars be 330 miles apart?
Click here to see answer by checkley77(12569)

Question 219880: May rides her bike the same distance that Leah walks. May rides her bike 10km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distance, how fast does each travel ?
Click here to see answer by ankor@dixie-net.com(15656)

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