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

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Tutors Answer Your Questions about Travel Word Problems (FREE)


Question 72520: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Click here to see answer by checkley75(3666) About Me 

Question 72572: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Answer:
Show work in this space

Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72696: The base of an isosceles triangle is 12 in. less than the length of the equal sides. If the perimeter of the triangle is 39 in., find the length of each of the sides.
Click here to see answer by checkley75(3666) About Me 

Question 72697: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
Click here to see answer by josmiceli(3003) About Me 

Question 72551: 18. A passenger train can travel 325 mi. in the same time a freight train takes to travel 200mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train find the speed of each.
22. 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 second. If her speed was the same on both days, what was the driving time each day?
26. A plane flies 720 mi against a steady 30-mi/h 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?
34. Kevin earned $165.00 interest for 1 year on an investment of $1500.00. At the same rate what amount of interest would be earned by an investment of $2500.00?

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Question 72853: Angelina can ride her bicycle at a rate of 15 miles per hour from her house to Darryl's house. From Darryl's house, the two of them ride in his ca to work at 45 miles per hour. If Angelina takes exactly one hour to travel 27 miles from her house to work, how many miles did she ride her bicycle?
Click here to see answer by ankor@dixie-net.com(6688) About Me 

Question 72846: During rush hour, Fernando can drive 35 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 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
I came up with 65 and was wanting to check to see if this is right. Thanks.

Click here to see answer by ankor@dixie-net.com(6688) About Me 
Question 72846: During rush hour, Fernando can drive 35 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 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
I came up with 65 and was wanting to check to see if this is right. Thanks.

Click here to see answer by bucky(1732) About Me 

Question 72815: A light plane flies for 2h with a 20km/h tail wind. The return trip against the same wind takes 3h. Write equations to determine the speed of the plane when there is no wind and the distance travelled
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Question 72971: THE TIME IT TAKES A CAR TO TRAVEL A FIXED DISTANCE VARIES INVERSELY WITH THE RATE AT WHICH IT TRAVELS. IT TAKES THE CAR 4 HOURS TO TRAVEL A FIXED DISTANCE WHEN IT TRAVELS AT A RATE OF 50 MILES PER HOUR. HOW FAST DOES THE CAR HAVE TO TRAVEL TO COVER THE SAME DISTANCE IN 2.5 HOURS?

WHOEVER ANSWERS, THANK YOU GREATLY FOR YOUR HELP!!!!!!!!!!!!!!!!!!!!!!

Click here to see answer by bucky(1732) About Me 

Question 73085: Suppose you travel North for 35 kilometers, then travel East 65 kilometers. How far are you from your starting point? North and East can be considered the directions of the y and x axis respectively. Round to the tenth's place.
Anser:
Show your work in this space.
to me this seems kinda simple. I have tried 35 + 64 = 100 but I don't think that is the correct anser. The reason for this is if you put it in a graph and you draw a straight line from the starting point to the ending point, then the answer would be 65. I'm just not sure how this question is ment.

Click here to see answer by rmromero(383) About Me 

Question 73093: At 1:00 p.m., a car leaves a city and travels north at a rate of 55 mi/h. An hour later, a second car leaves the city and travels south at a rate of 60 mi/hr. At what time will the two cars be 285 miles apart?
Click here to see answer by checkley75(3666) About Me 

Question 73150This question is from textbook
: A bicyclist traveling in a flat, open area could ride at 3 times the speed of the wind if the wind were absent. On this day, he traveled 42 miles against the wind in 4 more hours than it took to go 4 miles with the wind on the return trip. What is the speed of the bike in no wind?This question is from textbook

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Question 73154: One plane departed from NY and, at the same time, another plane departed from Mexico City. They flew towards each other at rates of 650 mph and 550 mph. If NY and Mexico City are 3,000 miles apart, in how many hours did the planes pass each other?
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Question 73183: Carlos de la LAma and Dave Kater are both going to attend a mathematics convention out of town. They wish to arrive at the conference at the same time, but Dave must leave for the conference later than Carlos because he has a meeting to attend. When Carlos has driven 50 miles he gets a call from Dave on his cellular phone, and Dave tells him that he is leaving now. Carlos indicates that he is drivng at 55 miles per hour. Dave says that he plans to drive at 70 miles per hour along the same route and should catch up with Carlos in about 3.33 hours.
A. Write the equation used by Dave to determine when he would catch up with Carlos.
B. Solve the equation in part A.

Click here to see answer by ankor@dixie-net.com(6688) About Me 

Question 73258: Two planes leave Honolulu International Airport at the same time. One heads towards the Big Island at 195 mph. the other heads in the opposite direction towards Kauai at 220 mph. How far apart are they after 20 minutes?
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Question 73261: Gavin and Grace, brother and sister, jog to school every day. Gavin jogs at 5 mph and Grace at 2 mph. When Gavin reaches school, Grace is 3/4 mile away. How far is the school from their home?
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Question 73196: During rush hour, Fernando can drive 35 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 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
Click here to see answer by ptaylor(1578) About Me 

Question 73189: Ralph took 2.5 minutes to run from point a to point b. Clyde took 2 minutes to run from point a to point b. The faster runner runs 3 feet per second faster than the slower runner. Find the speeds of Ralph and Clyde. (make sure to keep the units consistent)
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Question 73257: Earthquakes generate two circular waves, p-waves and s-waves, tht travel outwards. the p-waves travels faster, but generally the s-waves do the most damage. suppose the p-waves have a velocity of 3.6 miles per second and the s-waves have a velocity of 1.8 miles per second. How long after the earthquake will p-waves and s-waves be 80 miles apart?
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Question 73317: what is the distance between the points (3,3) and (2,1)?
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Question 73288: Science and medicineq. Find the time required for an objetg to fall to the ground from a building that is 1400 ft high. (Use the formulat found in ecercise 67).

I am having a hard time figuring this problem and need some assistance. Thanks

Click here to see answer by checkley75(3666) About Me 

Question 73540This question is from textbook Beginning Algebra
: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200mph that had a 2-hour head start. How far from the starting point are the planes? Please help!!Thanks. This question is from textbook Beginning Algebra

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Question 73833: 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.
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Question 73862: In 2002, Martin Buser, from Big Lake, Alaska, won the Iditarod in a time of 8 days , 22 hours, 46 minutes, and 2 seconds setting a new record. In 2006, Jeff King, from Denali, Alaska, won the Iditarod in a time of 9 days, 11 hours, 11 minutes, and 36 seconds. Assumethe length of the race is 1112 miles. What is the positive difference between their mean speeds in miles per hour? Express your answer as a decimal to the nearest hundreth. How do I solve this?
Click here to see answer by jim_thompson5910(13785) About Me 

Question 74002: can you help me in solving this problem:
a passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. if the rate of the express bus is 10 mi/h faster than that of the local bus, find the rate for each bus.

Click here to see answer by Edwin McCravy(2920) About Me 

Question 74214This question is from textbook Beginning Algebra
: Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.This question is from textbook Beginning Algebra

Click here to see answer by bucky(1732) About Me 
Question 74214This question is from textbook Beginning Algebra
: Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.This question is from textbook Beginning Algebra

Click here to see answer by Poohbear272(22) About Me 

Question 74243: Thank you for any help you can give.
Two cars leave town A at the same time going in the same direction. The speed of one car is 40 mph, and the speed of the other car is 55 mph. In how many hours will the cars be 45 mi apart?
Thank You!

Click here to see answer by stanbon(26251) About Me 
Question 74243: Thank you for any help you can give.
Two cars leave town A at the same time going in the same direction. The speed of one car is 40 mph, and the speed of the other car is 55 mph. In how many hours will the cars be 45 mi apart?
Thank You!

Click here to see answer by rmromero(383) About Me 

Question 74258: can you help me in solving the problem...
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 second day. if her speed was the same on both days, what was the driving time each day?

Click here to see answer by bucky(1732) About Me 

Question 74259: can you help me in solving the problem...
a plane flies 720 mi against a steady 30-mi/h 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 jim_thompson5910(13785) About Me 

Question 74470: A boat travels 30 miles upstream in 4 hours. The trip downstream takes 2.5 hours. Find the rate of the boat in still water.
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Question 74492: a northbound train left the station at noon. 2 hours later a southbound train left the same station. At 6 the 2 trains were 450 miles apart. Find the rate of the 2 trains if the northbound train was traveling 25 mph faster than the southbound train
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Question 74553: Find the distance between (-4, 0) and (-5, -3).
My answer was Is this correct? Thanks

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Question 74550: The base of a ladder is 12 feet away from the wall. The top of the ladder is 13 feet from the floor. Find the length of the ladder to the nearest thousandth.
I need some help with this. Thanks.

Click here to see answer by stanbon(26251) About Me 

Question 74969: Please can somebody help me in this problem:
It took a small plane 2 hours to fly 375 miles against the
wind than it took the same plane to fly the same distance
with the wind. The rate of the wind was 25 mph. Find the
rate of the plane in caalm air.

Click here to see answer by ankor@dixie-net.com(6688) About Me 

Question 74970: Here is another problem I need help with. Can somebody help me thank you!!!!!
An airplane flies between two cities 650 kilometers apart, traveling
with a wind of 35 miles per hour going, and against the same wind
when returning. The trip out takes one less hour than the return trip. What
is the speed of the plane in still air?

Click here to see answer by scott8148(3382) About Me 

Question 75167: Tanya and Naomi are roommates who are moving from Winnipeg to Calgary. They each own cars that they are using to move, but they decide to drive out together at the same time. Tanya's car gets 19 kilometers per litre of gasoline and Naomi's car gets 16 kilometers per litre of gasoline. When travelling from their own apartment in Winnipeg to their new place in Calgary, they both used a whole number of litres of gasoline. Assuming that the distance from Winnipeg to Calgary is between 1000 km and 1500 km, what is the exact distance they travelled on the trip?
Click here to see answer by ankor@dixie-net.com(6688) About Me 

Question 75172: A child can get to school in 15 minutes if she rides her bike. It takes her 45 minutes if she walks. Her speed when walking is 10 km./hr. slower than her speed when riding. How far does she travel to school?
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Question 75243: A car leaves San Francisco for Los Angeles traveling an average of 60mph. At the same time, another car leaves LA for San Francisco traveling at 50mph. If it is 440miles between SanFrancisco and LA, howlong before the 2 cars meet, assuming that each maintains its average speed?

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Question 75395: The school flagpole cast a shadow 15ft long. Mr. Hansen cast a shadow 4ft long. Mr. Hansen is 6ft tall. How tall is the flag pole.
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Question 75402: A baseball dimond is a square whose side measue 90ft. For a home run a player must run around the square. If a player hits 35 home runs, what is the least number of feet he or she must run?
Click here to see answer by checkley75(3666) About Me 

Question 75415: a football field is a rectangle 300ft long and 160ft wide. The end zones add another 30ft of length at each end. How much greater is the perimeter of the field with the end zones than without them.
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Question 75460: Sarah leaves Seattle for Newyork in her car, averaging 80mph across open country. 1hr later a plane leaves Seattle for Newyork following the same route and flying 400mph. Howlong before the plane overtake the car?
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