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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 200523: David and Carl go mounting climbing. David starts 30 minutes before Carl and climbs at 18 ft/min. Carl climbs at 20 ft/min. How far up the mountain will they meet.
20t = 18(t +30)
20t = 18t + 540
2t = 540
t = 270
This can't be the correct answer because David has already climbed 540 feet even before Carl starts climbing. Therefore meeting at 270 ft. is the wrong answer. What is the answer and what am I doing wrong?
Click here to see answer by vleith(2825)

Question 200549: Winter wheat. While finding the amount of seed needed
to plant his three square wheat fields, Hank observed that
the side of one field was 1 kilometer longer than the side
of the smallest field and that the side of the largest field
was 3 kilometers longer than the side of the smallest field.
If the total area of the three fields is 38 square kilometers,
then what is the area of each field?
Click here to see answer by ankor@dixie-net.com(15660)

Question 200623: Train Travel. A train leaves Barstow traveling east at 35km/h. One hour later, a faster train leaves Barstow, also traveling east on a parallel track at 40km/h. How far from Barstow will the faster train catch up with the slower one?

Click here to see answer by Alan3354(30993)

Question 200669: roy drives to work at 70 mph and home that night along the same route at 30 mph.
what is his average speed ?
Click here to see answer by vleith(2825)

Question 200747: a cyclist traveled at a rate of 32mph to visit a near by town. The cyclist averaged 10mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
D=6.3/(32-10)
D=.286363
This is not correct, but I think the opportunity is in the set up.
Thanks for helping in advance.
Click here to see answer by checkley77(12569)

Question 200792: Rectangular stage. One side of a rectangular stage is
2 meters longer than the other. If the diagonal is 10 meters,
then what are the lengths of the sides?
Click here to see answer by stanbon(57387)

Question 200790: An aircraft can fly 960 miles in 4 hours with the wind and travel the same distance against the wind in 6 hours. What is the wind speed?

Click here to see answer by stanbon(57387)

Question 200842: one car travels 40 km/hr faster than another. While one travels 150 km, the other goes 350 km. Find the speed of the slower car.
Click here to see answer by josmiceli(9697)

Question 200898: A biker can travel 18 mph with no wind. The same rider can bicycle 8 mi against the wind in the same time it takes to bicycle 12 miles with the wind. What is the speed of the wind.
Click here to see answer by Alan3354(30993)

Question 200936: This question(200898) is in your data base but i am not positive if it is correct. I was told there is a answer. Could somebody else PLEASE look at this problem again and work it to verify if it is correct or wrong. I would really appreciate it..Thanks
Question:
A biker can travel 18 mph with no wind. The same rider can bicycle 8 mi against the wind in the same time it takes to bicycle 12 miles with the wind. What is the speed of the wind?

Click here to see answer by jim_thompson5910(28598)

Question 200988: POWER FROM A WINDMILL. The power p that can be obtained from a windmill is directly proportionl to the cube of the wind speed s.
(a) Write an equation that expresses this variation.
(b) Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is lowing at 20 mi/h.
(c) How much power will this windmill produce if the wind speed increases to 30mi/h?
Click here to see answer by stanbon(57387)

Question 201114: Two trains leave at the same point. One train leaves at noon at 50mph. The other train leaves 2 hours later at 90mph. At what time will the second train catch the first train?
Click here to see answer by josmiceli(9697)

Question 201159: chris has a tree that is 393 feet long chris cuts the tree into peices 3 5/7 feet long, how many peices can Chris cut from the tree
Click here to see answer by rfer(12670)

Question 201157: marc owns 1/6 of the shop steven owns 1/4 of the shop what part does daniel own
Click here to see answer by rfer(12670)

Question 201288: A fish swim 8 miles downstream in two hours. he return upstream in 14 hours. how fast does the fish swim in still water ?
Click here to see answer by Alan3354(30993)

Question 201288: A fish swim 8 miles downstream in two hours. he return upstream in 14 hours. how fast does the fish swim in still water ?
Click here to see answer by josmiceli(9697)

Question 201353: if i was traveling 3000 miles at 70 mph how long would it take me to get there?
Click here to see answer by rfer(12670)

Question 201442: A car traveling 56 mph overtakes a cyclist who, traveling at 14 mph, had a 1.5 h head start. How far from the starting point does the car overtake the cyclist?
Click here to see answer by Alan3354(30993)

Question 201453: If a parade 2mi long is proceeding at 3 mph, how long will it take a runner, jogging at 6 mph, to travel from the front of the parade to the end of the parade?

Click here to see answer by nerdybill(6962)

Question 201452: Two cars are 295 mi apart and traveling toward each other. One car travels 10 mph faster than the other car. The cars meet in 2.5 h. Find the speed of each car.
Click here to see answer by checkley77(12569)

Question 201454: An investment club invested $5000 at an annual simple interest rate of 8.4%. How much additional money must be invested at an annual simple interest rate of 10.5% so that the total interest earned will be 9% of the total investment?
Click here to see answer by rfer(12670)

Question 201570: A ship went up a stream of 36km in 3 hours, and went down the same distance in 2 hours. What is the km per hour for this ship if there is no speed in this stream? What is this stream's km per hour?

Click here to see answer by Theo(3464)

Question 201645: if josh rides his tricycle to yakima at 9 miles per hour.how many minutes will it take him to go from mile marker 210 to mile marker 12 ?
Click here to see answer by rfer(12670)

Question 201646: 36. Upstream, downstream. Junior’s boat will go 15 miles per
hour in still water. If he 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 solver91311(16897)

Question 201647: . Big plane. A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?
Click here to see answer by solver91311(16897)

Question 201657: Big plane. A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?
Click here to see answer by solver91311(16897)

Question 201656: Fast walking. Marcie can walk 8 miles in the same time
as Frank walks 6 miles. If Marcie walks 1 mile per hour
faster than Frank, then how fast does each person walk?
Click here to see answer by solver91311(16897)

Question 201658: Filling a tank. A water tank has an inlet pipe and a drain
pipe. A full tank can be emptied in 30 minutes if the drain
is opened and an empty tank can be filled in 45 minutes
with the inlet pipe opened. If both pipes are accidentally
opened when the tank is full, then how long will it take to
empty the tank?
Click here to see answer by solver91311(16897)

Question 201712: If a tire rotates at 150 revs/min when the truck is traveling 40km /h , what is the circumference of the tire?
Click here to see answer by nerdybill(6962)

Question 201738: It took Brenda 10 hours to drive from A to B when she averaged 50 miles per hour. Pulling a trailer on the return trip from B to A, she averaged 40 miles per hour. How many hours did the return trip take?

Click here to see answer by stanbon(57387)

Question 201710: If a race car can go around a track in 5 minutes,then how long will it take to go around the track if it increases its speed by 20%?
Click here to see answer by RAY100(1637)

Question 201710: If a race car can go around a track in 5 minutes,then how long will it take to go around the track if it increases its speed by 20%?
Click here to see answer by Theo(3464)

Question 201823: Using 5 step method solve
A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and rate of the current
Click here to see answer by rfer(12670)

Question 201943: John is driving from home to work in a red car at a rate of 55 miles per hour and the distance from his house to work is 67 miles. Bob, in his blue car, drives from home to work at 60 miles per hour and the distance from his house to work is 72 miles. Both men have a 15 minute presentation to give upon their arrival. Who gets to work in the least amount of time?
In the above word problem, what information is not important? Explain why
Click here to see answer by rfer(12670)

Question 201785: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. what is the speed of the boat in still water and of the current river?
Click here to see answer by josmiceli(9697)

Question 202012:
Click here to see answer by rfer(12670)

Question 202100: a ski lift carries a skier up a slope at the rate of 800 feet per minute and he returns from the top to the bottom on a path parallel to the lift at an average rate of 2640 feet per minute. How long is the lift if the round trip traveling time is 20 minutes?
Click here to see answer by scott8148(6628)

Question 202145: A jogger runs a distance at a speed of 8mph and returns the same distance running at a speed of 6mph. Find the total distance that the jogger runs if total time running is 1 hour and 45 min.
Click here to see answer by josmiceli(9697)

Question 202184: A girl rows upstream in the river that flows at the rate of 3 mph. It takes her 2 hours to row to a destination that is 2 miles away. What is the speed at which she is rowing?
Click here to see answer by stanbon(57387)

Question 202325: Golden painting. An artist wants her painting to be in the
shape of a golden rectangle. If the length of the painting is
36 inches, then what should be the width? See the previous
exercise.
Click here to see answer by stanbon(57387)

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