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

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Question 280553: amy travels 450 miles at a certain speed. If the car had gone 15 mph faster, the trip would have take 1 hour less. Find amys speed. Show your work.
I know that D=RT So 450=RT I am not sure where to go from here because this does not work
450=(15+r)(t-1) ---- any suggestions? I appreciate the help, thank you
Click here to see answer by richwmiller(9144)

Question 280661: If Darla was traveling at approximately 45 miles per hour and her one-way trip took 40 minutes. How many miles did she travel?
Click here to see answer by oberobic(2304)

Question 280525: A man walks down a hill, along a level road, and then up another hill. At the top of the second hill, he turns around and returns to where he started. His entire walk took him 4 hours. If he walks 6 mph downhill, 3 mph on level ground, and 2 mph uphill,then the total distance he walked is: your'e a * B * I * T * C * H*
(A) 6 miles (B) 12 miles (C) 16 miles (D) impossible to determine
(E) none of these

Click here to see answer by Marcus_H._1234(1)

Question 280810: A motorboat traveling with the current can go 36 miles in 2 hours. against the current it takes 3 hours to go to the same distance. Find the rate of the motorboat in calm water.
Click here to see answer by oberobic(2304)

Question 280838: Train A & B are traveling in the same direction on parallel track. Train A is traveling 80 miles per hour and train B is traveling 90 miles per hour. Train A passes station at 3:10 pm If train B passes same station at 3:22 pm what time will train B catch up to train A
Click here to see answer by stanbon(57977)

Question 280875: Sat Tranh took a short hike with his friends up Mt. Wachusett. They hiked uphill at a steady pace of 1.5 mph, and downhill at a rate of 4mph. If the time to climb the mt. took an hour more than the time to hike down, how long was the entire hike?
I tried doing d=rt but there is no distance given here. I also tried 4x= 1.5x-1.5 but it yields the incorrect answer. If someone could help me understand how to do this I would greatly appreciate it!
Click here to see answer by mananth(12270)

Question 281106: Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake?
Click here to see answer by richwmiller(9144)

Question 281060: Hi:
I walked for 9'31" at 3.5mph. How far did I travel? Using D=R x T, I still can't figure it out. Help me. Thanks,
Rich @: richbev57@verizon.net
Click here to see answer by richwmiller(9144)

Question 281183: The earth has a radius of approximately 6400 km.
Estimate the distance round the equator to the nearest 100 kilometers.
Use a value of 3.14 for pi.
Thank you
Click here to see answer by brucewill(101)

Question 281228: Ronald and Hermione started running toward each other, Ronald at 18 yards per minute and Hermione at 16 yards per minute. If they were 680 yards apart when they started running, how long did it take for them to collide? (Begin by drawing a diagram of distances traveled and writing a distance equation.)
Click here to see answer by richwmiller(9144)

Question 281399: Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?

Click here to see answer by subudear(55)

Question 281422: John leaves for work at 8:30 a.m. every day. If he drives 30 mph, he is 5 minutes later than his target arrival time. If he drives 50 mph, he is 5 minutes earlier than this target arrival time. The speed at which he should drive to hit his target arrival time exactly is:
(A)35 mph (B) 37.5 mph (C) 40 mph (D) 42.5 mph (E) 45 mph

Click here to see answer by mananth(12270)

Question 281439: Sharon runs a single lap on a track in 100 seconds. Jessica runs the same lap in 90 seconds. If both start at the same time from the same point on the track and each maintains a constant rate, the number of minutes before Jessica laps Sharon is:
(A)9 (B) 11 (C) 13.5 (D) 15 (E) 18.5

Click here to see answer by stanbon(57977)

Question 281451: An executive drove from home at an average rate of speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire distance was 150 miles. The entire trip took 3 hours. What is the distance from the airport to the corporate offices?
Click here to see answer by richwmiller(9144)

Question 281478: How long will it take her to travel 45 miles upstream if the current of the river is 6 miles per hour?
Click here to see answer by brucewill(101)

Question 281486: Two vehicles a car and a truck leave an intersection at the same time the car heads east at 70 mph while the truck heads south at 40 mph Find an expression for their distance apart in miles at the end of t hours. At the end of t hours the vehicles are how far apart in miles?
I saw a similar question and follwed the steps I came up with 80.62 but that is wrong what am I doing wrong? Please help.
Click here to see answer by stanbon(57977)

Question 281492: ..4.. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
I am trying to figure out how to set up a formula to work this problem.
I thought drawing it. I thought about making it a right angle and doing the Csquared =Asquared + Bsquared but that didn't work and I am not sure how to take a number and come up with what is it square root is.
Click here to see answer by Alan3354(31532)

Question 281550: Two people running pass each other. They continue in opposite directions. The first person is running at 6 mph. The other one is running at 10 mph. How many minutes will pass before they are at least 2 miles apart?
Click here to see answer by richwmiller(9144)

Question 280869: A rubber ball dropped on a hard surface takes a sequence of vertical bounces. Each bounce is 1/5 as high as the preceding one. If this ball is dropped from a height of 10 feet, What is the total distance it has traveled when it hits the surface the fifth time?
Click here to see answer by Edwin McCravy(8999)

Question 281723: A BOAT TRAVELING AT A SPEED OF 36 KM PER HOUR. IT HAS TO TRAVEL A DISTANCE OF 210 KM. HOW LONG WILL IT TAKE
Click here to see answer by Alan3354(31532)

Question 281723: A BOAT TRAVELING AT A SPEED OF 36 KM PER HOUR. IT HAS TO TRAVEL A DISTANCE OF 210 KM. HOW LONG WILL IT TAKE
Click here to see answer by PRMath(124)

Question 281742: Travel up a hill at 3 miles per hour and down the hill at 6 miles per hour on the same trail, what is the average speed traveled? Teacher says it is not 4.5 mph.
Click here to see answer by scott8148(6628)

Question 281768: A car travels 180 kilometers north in 90 minutes. What is the velocity?
A 2 kilometers/minute

Click here to see answer by Alan3354(31532)

Question 281857: A man was cycling south wards at a speed of 10 miles / hr when he met another man who was cycling west wards at the speed of 11 miles / hr. How far apart they would be after a period of 01 hour.
Click here to see answer by mananth(12270)

Question 281935: Angnette rides her bike every day. If she rides at a constant speed of 10 mph every time she rides, how many miles will she ride if she rides for 30 minutes on Monday, 45 minutes on Tuesday, and 20 minutes on Wednesday? Please show your work.
Click here to see answer by richwmiller(9144)

Question 281971: The arrival time t of train B must be at least 5 minutes different from the 4:00 pm arrival time of train A. Express the statement in terms of an inequality invilving an absolute value.
First, I'm not sure if it is mathmatically appropriate to represent the time 4:00 as a real number.
Would the answer be something like:
|4:00-5|>=t
Click here to see answer by stanbon(57977)

Question 281931: Traveling at 30 miles per hour, how far would you travel in 50 minutes?

Click here to see answer by richwmiller(9144)

Question 282130: I drove 840 miles at the average speed of 60 mph. How many hours did it take me to cover the distance?
Click here to see answer by checkley77(12569)

Question 282138: Frank drove 300 miles to the beach for vacation. On the way home, he averaged 10 miles per hour less, and the drive took him one hour longer. What was his total driving time?

Click here to see answer by richwmiller(9144)

Question 282132: round 99,999 to the nearest thousand.
Click here to see answer by Alan3354(31532)

Question 282098: if it takes 50 seconds to go 20 ft how far will you go in 60 seconds?
Click here to see answer by checkley77(12569)

Question 282166: the speed of light is given as 3.0 *10^5 km /sec.the sun is approximately 1.082 *10^8km from Venus.about how long does it take light to travel from sun to Venus.
Click here to see answer by checkley77(12569)

Question 282205: BETH WAS REQUIRED TO MAKE A CROSS-COUNTRY FLIGHT IN TRAINING FOR HER PILOT LICENSE . WHEN SHE FLEW FROM HER HOME AIRPORT A STEADY 30 MILES PER HOUR WIND WAS BEHIND HER AND THE TRIP TOOK 5 HOURS. WHEN SHE RETURED AGAINST THE WIND THE FLIGHT TOOK 7 HOURS. FIND THE PLANES SPEED IN STILL AIR AND THE DISTANCE TRAVELED EACH WAY
Click here to see answer by Alan3354(31532)

Question 282326: Each day, Amit runs nine miles and then walks one mile. He runs 10 mph faster than he walks. If his total time is 75 minutes, then what is Amit's running speed?
Click here to see answer by mananth(12270)

Question 282329: Michael's flower shop had $817.56 in receipts yesterday including the 8% sales tax. What amount of sales tax did he collect?
Click here to see answer by mananth(12270)

Question 282328: Bill's upstream canoe trip took 1.5 hours longer than the return trip. If he averaged 2 mph on the upstream trip and 3 mph on the return trip, then how long was the upstream trip?
Click here to see answer by mananth(12270)

Question 282327: Chris prepares a 10-pound mixture of cashews and peanuts. He paid $18 for the cashews and $14 for the peanuts. If cashews cost three times more than peanuts, than how many pounds of cashews did he use?
Click here to see answer by mananth(12270)

Question 282299: It takes 24 minutes for Lou to walk 1 1/3 miles home from school. How far could he walk in a half hour?
Click here to see answer by subudear(55)

Question 282339: To describe a trajectory of a missile or a football, we use quadratic functions like y(t)=a*t^2+b*t+c, where y is the height after time t sec. From your experience of seeing the path of football or other projectiles, what are the limitation on the parameters a, b and c? If the function is describing the football path t seconds after it left the player's hand, what does c mean?

Click here to see answer by Theo(3504)

Question 282361: The time required to drive from Duluth to Fargo varies inversely with the speed of the car. If the trip takes 6.25 hours at 40 mph, what speed is required to make the trip in 4 hours?
A) 6.4 mph B) 0.625 mph C) 25.6 mph D) 8.44 mph E) 62.5 mph

Click here to see answer by richwmiller(9144)

Question 282399: Car A travels 180 miles in the same time it takes Car B to travel 120 miles. If one car is going 20 mph faster than the other car, find both speeds.

Click here to see answer by richwmiller(9144)

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