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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 94101: Two planes left an airport at noon. One flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi apart in 3 h. How fast was each plane flying?
---THANKS FOR ALL YOUR HELP!!!!!!---
Click here to see answer by bucky(2189)

Question 94105: two cars start from the same point at the same time. one car drives north at 40 mph and the other car drives south at 66 mph. how many miles apart are the cars after 30 minuets?
Click here to see answer by edjones(7569)

Question 94124: Find the selling price per pound of a tea mixture made from 40lb of tea costing $5.40 per pound and 60lb of tea costing $3.25 per pound.
Click here to see answer by checkley75(3666)

Question 94122: A clothing manufacturer has some pure silk thread and some thread that is 85% silk. How many kilograms of each must be woven together to make 75kg. of a blend that is 96% silk?
Click here to see answer by stanbon(57261)

Question 94285: It takes a freight train 2 hours longer to travel 200 miles than it takes an express train to travel 280 miles. The rate of the express train is 20 miles per hour greater than the rate of the freight train. Find the times and rates of both trains.
Click here to see answer by stanbon(57261)

Question 94120: A commuter plane flies to a small town from a major airport. The average speed flying to the small town was 250mph and the average speed returning was 150mph. The total flying time was 4hrs. Find the distance between the two airports.
Click here to see answer by ankor@dixie-net.com(15639)

Question 94247: Train A leaves a station traveling at 48 kilometers per hour. Four hours later, train B leaves the station traveling in the same direction at 68 kilometers per hour. What equation can you use to find the time (t) in hours that it took train B to catch up with train A, and what is the value of t
Click here to see answer by checkley71(8403)

Question 94354: I can get the anser to this but I dont know how they got it.v and r are riding their bikes.V rides at 10 miles per hour while R rides at 7.r has a 30 minute head start. How long has R been riding when V is 7 miles ahead of him?
Click here to see answer by edjones(7569)

Question 94401: A bus leaves a station at 1PM, traveling west at an average rate of 44 mile per hour. One hour later a second bus leaves the same station, traveling east at a rate of 48 mile per hour. At what time will the two buses be 274 miles apart?
What formula should I use to find the exact answer? Just by manually adding it up I got the two would be at that distance around 4:32, but I don't know how to get to that answer with a formula.
Click here to see answer by ankor@dixie-net.com(15639)

Question 94402: A bicyclist rode into the country for 5 hours. In returning, her speed was 5 mile per hour faster and the trip took 4 hours. What was her speed each way?
I need the formula to solve this, I just wasn't sure where to begin, I can do the actual calculation part! Thanks!
Click here to see answer by ankor@dixie-net.com(15639)

Question 94481: A Monorail car traves 100 miles in 50 minutes less time than it takes and automobile to travel the same distance. Find the speeds of the two vehicles if the monorail goes 20 mph faster than the automobiles.
Click here to see answer by ankor@dixie-net.com(15639)

Question 94501: Hello,

I need help solving this problem using the formula h=vt-16t^2:

An object is fired into the air with a velocity of 72 feet per second. How many seconds will it take for the object to hit the ground?

Thank you

Click here to see answer by scott8148(6628)

Question 94477: at noon a plane left Austin for LA, 2100 miles away, flying 500km/hr. One hour later a jet left LA for Austin at 700 km/h. At what time die they pass each other.
Click here to see answer by checkley71(8403)

Question 94741: You travel 60 kilometers in 1.5 hours. What is your average speed?
Click here to see answer by Edwin McCravy(8883)

Question 94853: Francesca traveled for 5h in her car at a constant speed of 90km/h and then traveled in a bus at a constant speed for 3 h. If the total distance she traveled was 795 km, what was the speed of the bus?
Click here to see answer by checkley71(8403)

Question 92680: The length of a rectangle is 5 cm greater than its width. The perimeter is 58 cm. Find the dimensions of the rectangle.
Click here to see answer by edjones(7569)

Question 95002: You ride in a train for 175 miles at an average speed of 50 miles per hour. How many hours does the trip take?
Click here to see answer by kiljoy(51)

Question 95008: An airplane travels 260 miles per hour into a 50 mile per hour head wind. On the return trip the wind has slowed to 25 miles per hour and the plane averages 335 miles per hour. How fast would the plane have gone with no wind on either leg?

Click here to see answer by stanbon(57261)

Question 95075: if a truck is driving 45 miles per hour, how fast is it traveling in feet per second?
Click here to see answer by ankor@dixie-net.com(15639)

Question 95187: Please help me with this word problem?
Britney's flight to Rome leaves New York at 5:15 pm on Wednesday. The flight time is 7.5 hours. If Rome is 6 hours ahead of New York City, use Rome time to determine when she is scheduled to arrive.
Click here to see answer by edjones(7569)

Question 95193: Please help me with this word problem?
Britney's flight to Rome leaves New York City at 5:15 pm on Wednesday. The flight time is 7.5 hours. If Rome is 6 hours ahead of New York City, use Rome time to determine when she is scheduled to arrive.
Do I use the formula d = r * t?
Click here to see answer by edjones(7569)

Question 95216: The elevator in the Washington Monument takes 75 seconds to travel 500 feet to the top floor. What is the speed of the elevator in miles per hour? Give your answer to the two significant digits.
Click here to see answer by bucky(2189)

Question 95306: Convert 20 miles per hour to feet per second
Click here to see answer by checkley71(8403)

Question 95234: Mr. Hernandez runs his car at a regular speed of 50kph and Mr. Reyes at 36kph. They started the same time at 5:30 AM and took opposite directions. At what time will they be 600 km apart?
Click here to see answer by stanbon(57261)

Question 95308: The space shuttle orbits the earth at altitudes between 115 and 400 miles. A radar station at Cape Canaveral locates the shuttle at a distance of 247.5 miles. If the shuttle is at an altitude of 211.3 miles, then how far is it from the station?
Thank you,
Kittie
Click here to see answer by stanbon(57261)

Question 95270: John walked from point P to point Q and back again, a total distance of 2 miles. If he averaged 4 miles per hour on the trip from P to Q and 5 miles per hour on the return trip, what was his average walking speed for the entire trip?
Click here to see answer by ankor@dixie-net.com(15639)

Question 95463: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 30t + 4.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Click here to see answer by stanbon(57261)

Question 95427: I have problems with Scale Drawings and Pecentages how to convert fractions into pecentages it would help very much knowing how to do it
Click here to see answer by stanbon(57261)

Question 95408: Please help solve this problem. This question is from a teacher created worksheet.
Two cars leave the same city. The first car is travelling at 40 mi/hr. One hour later the second car leaves travelling at 55 mi/hr along the same road. In how many hours will the 2nd car overtake the first car?
Click here to see answer by ptaylor(2048)

Question 95267: Ching leaves San Franciso and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward Sant Franciso at 60 mi/hr. If the two cities are 380 miles apartm how many hours will it take for Ching to meet Phil?
Can you help me please!
Click here to see answer by ankor@dixie-net.com(15639)

Question 95544: The distance (in miles) traveled when driving at a certain speed for hours,
then driving miles/hour faster for another hour.
Express the distance in terms of s.
the distance traveled when driving a mph for hours is the expression _______.
ADDED to that distance is driving 1 hour at mph FASTER,
so the expression to be added is___________ .
The final answer (expression) then is ___________.
I am having difficulty setting up the equations. I tried s=22=12(s=1)???

Click here to see answer by stanbon(57261)

Question 95445: Katalin and Patrick both decide to visit their friend Moti who lives 90 miles away. Patrick drives at a rate of 45 mi/h and Katalin drives at a rate of 55 mi/h. How far will Patrick still have to travel by the time Katalin reaches Moti's home?
Click here to see answer by checkley71(8403)

Question 95325: How long would it take a runner to complete a 10km race if a pace of 6.5 min/mile were maintained?
Click here to see answer by ptaylor(2048)

Question 95725: Your school is 18 3/4miles south of Pittsburgh and your house is 44 1/4 miles south of Pittsburgh. You leave your school at 5:00pm, traveling south by bicycle at an average speed of 15 miles per hour. Your father leaves Pittsburgh in a car at 5:45pm. He is driving south at an average speed of 55 miles per hour. Let t represent the time it takes your father to drive from Pittsburgh toward your house.
a) Find the time it would take you to ride your bicycle home.
b)Find the time your father will arrive home.
c)Write and equation to find your distance d1 from Pittsburgh after t hours
Click here to see answer by ankor@dixie-net.com(15639)

Question 95836: Your school is 18 3/4 miles south of Pittsburgh and your house is 44 1/4 miles south of Pittsburgh. You leave your school at 5:00 P.M., traveling south by bicycle at an average speed of 15 miles per hour. Your father leaves Pittsburgh in a car at 5:45 P.M. He is driving south at an average speed of 55 miles per hour. Let t represent the time it takes your father to drive from Pittsburgh toward your house.
1. Find the time it would take you to ride your bicycle home.
2. Find the time your father will arrive home.
3. Write an equation to find your distance d1, from Pittsburgh after t hours.
4. Write an equation to find your father's distance d2 from Pittsburgh after t hours.
5. Use your equations from Exercises 3 and 4 to find how long it takes your father to pass you.
6. Find the number of hours you rode your bicycle when your father passes you.
7. At what time did your father pass you on your bicycle?
8. How many miles did you ride your bicycle when your father passed you?
9. You want to arrive home before your father. Assume that all other information stays the same. What time should you leave school?

Click here to see answer by stanbon(57261)

Question 95859: Which geometric formula needs to be used for: a person hiking a straight track of 5.4 kilometers? They have been hikinbg for 45 min at a rate of 2.4 k per/hr. How much further (formula for)to reach the end of the trail??
Click here to see answer by checkley71(8403)

Question 95872: Jerry, walking 3 miles per hour, started twoard his aunt's house 12 miles away. One-half hour later, his cousin Darryl started from the aunt's house on a bicycle to meet him, riding 10 miles per hour. How long will Darryl ride before he meets Jerry?
Click here to see answer by checkley71(8403)

Question 95871: Carl and Fred started driving from the same point, Carl driving due east and Fred traveling due west. The rate at which Carl drove was twice that of Fred. After four hours, they were 600 miles apart. Find the rate of each.
Click here to see answer by checkley71(8403)

Question 95879: A motorist was clocked at a certin point traveling at 90 miles per hour. A patrol officer was alerted to chase the motorist. The patrol officer was three miles behind the speeding car when he received the message. How fast must the patrol officer have traveled in order to overtake the speeding car in 20 minutes if the car continued to travel 90 miles per hour?
Click here to see answer by checkley71(8403)

Question 95927: Suppose you are walking along the side of train tracks at 2 mph. A train is traveling 20 mph in the same direction requires 1 minute to pass you. How long is the train?
Click here to see answer by ankor@dixie-net.com(15639)

Question 95921: A woman drove part of a 185 mi trip at 50 mi/h and the rest at 55 mi/h. Find the distance she traveled at 50 mi/h if her total driving time was 3 h and 30 min.
Click here to see answer by checkley71(8403)

Question 95954: Sally had a doctor's appt. at 10am and decided she would take the bus. It took her 10 min. to get to her appt. riding the bus. She decided that she would jog hom (by the same route) after the appt. Jogging home took her 48 min. The bus traveled 25 min. mph faster going to the appt. than Sally did jogging home. Find the speed of the bus and Sally's jogging speed.
Click here to see answer by ankor@dixie-net.com(15639)

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