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

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Question 621048: A motor cyclist drives from A to B with a uniform speed of 30 km/hr and returns back with a speed of 60 km/hr.
Find its average speed.

Click here to see answer by w_parminder(53)

Question 621133: A boat goes 240 miles downstream in the same time it can go 160 miles upstream. The speed of the current is 5 miles per hour. What is the speed of the boat in still water?
Click here to see answer by solver91311(16868)

Question 621089: How many gallons would we need in order to travel 315 miles with an 18 gallon tank?
Click here to see answer by math-vortex(472)

Question 621132: If a car had increased its average speed for a 210 mile journey by 5 MPH the journey would have been completed in one hour less. What was the original speed of the car for the journey?
Click here to see answer by ankor@dixie-net.com(15624)

Question 621173: If a motorcycle can travel 0 to 70 mph in 5.5 seconds how many feet will it need to reach 70 mph
Click here to see answer by Alan3354(30967)

Question 621179: A plane leaves Chicago headed for Los Angeles at 590 mph. One hour later, a second plane leaves Los Angeles headed for Chicago at 660 mph. If the air route from Chicago to Los Angeles is 1800 miles, how long will it take (after the first plane takes off) for the first plane to pass the second plane? (Round your answer to two decimal places.)

Click here to see answer by josmiceli(9650)

Question 621152: Ashley traveled by car at an average speed of 31 miles per hour.
Then, she traveled by motorcycle at an average speed of 25 miles per hour.
In total, she traveled 27 miles for 1 hour.
How many minutes did Ashley travel by car?
Click here to see answer by josmiceli(9650)

Question 621263: How many feet do you cover at 54mph for 5 second's ?
Click here to see answer by nerdybill(6948)

Question 621252: Please help me answer this question
a man walks due west for 4kilometers, he then change direction and walks on a bearing of 197degrees untill he is southwest of his starting point,how far is he then from his starting point.
Click here to see answer by Alan3354(30967)

Question 621289: A jogger runs around a circular track with a diameter of 300 meters in 13 minutes. What was the jogger's average speed in meters/second?
Click here to see answer by josmiceli(9650)

Question 621317: A boat travels 50 miles downstream in the same time that it takes to go 30 miles upstream. The speed of the boat in still water is a constant 36 miles per hour. Then, in mph, the speed of the stream is
Click here to see answer by josmiceli(9650)

Question 621342: a car and a train leave station A at the same time for station B, 220 miles away. if the speed of the car averages twice the speed of the train and the car arrives 5.5 hours before the train, find the speed of the car and the speed of the train.
Click here to see answer by josmiceli(9650)

Question 621358: how fast will i have to go to achive 8 miles in 10 seconds
Click here to see answer by ankor@dixie-net.com(15624)

Question 621387: suppose you have two minutes to catch a train and two kilometres to go.if you cover the first kilometre at the rate of 30kmph,what should your speed be to catch the train

Click here to see answer by Emsley(35)

Question 621384: If I am travelling a distance of 279 km, and it takes me 3 hours 25 mins. How fast am I travelling?
Click here to see answer by Alan3354(30967)

Question 621393: In a flight of 6000 km,an aircraft was slowed down due to bad weather.Its average speed for the trip was reduced by 400km/h and the time increased by 30 min. Find the original duration of flight
Click here to see answer by ankor@dixie-net.com(15624)

Question 621490: If you are in a car traveling 30 miles per hour, how long does it take to go 100 feet?
Click here to see answer by nerdybill(6948)

Question 621501: if a car is going 96 mph at 14 seconds how long to get to 60 mph
Click here to see answer by Alan3354(30967)

Question 621541: If a car travels at an average speed of 70 mph how long will it take them to reach 25 miles?
Click here to see answer by rfer(12646)

Question 621503: When Fritz drives to work his trip takes 36 minutes, but when he takes the train it takes 20 minutes. Find the distance Fritz travels to work if the train travels an average of 48 miles per hour faster than his driving.
Click here to see answer by ankor@dixie-net.com(15624)

Question 621569: Ok, I hope you can help it's been driving me nuts for a while now. Train leaves at 9 am at a speed of 65km/hr straight. At 10:30 am a car leaves the same station at 115km/hr. A) How far from the station does the car catch up with the train? B) What was the cars average velocity in meters per second? C) If the car had not left the train station until 11am and the train still travels at 65km/hr, how fast would the car have to go to catch up to the train at the same distance from the station as in part A in Km/hr?
Click here to see answer by ankor@dixie-net.com(15624)

Question 621651: Two cars leave the same place at the same time, one going east and one going west. The eastbound car averages 40mph, while the westbound car averages 50mph. In how many hours will they be 300 miles apart
Click here to see answer by nerdybill(6948)

Question 621735: A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds of its travel. What is its average speed during the time from t = 5 seconds to t = 10 seconds?
Click here to see answer by ewatrrr(10682)

Question 621734: If Sam and Joe went to the store and the store was 2 miles away, They traveled 60 mph, How long will it take them to get to the store?
Click here to see answer by solver91311(16868)

Question 621768: A bird fly 2/3 miles per hour how many miles is he traveling
Click here to see answer by Alan3354(30967)

Question 621768: A bird fly 2/3 miles per hour how many miles is he traveling
Click here to see answer by vleith(2825)

Question 621741: a plane travels from orlando to denver and back. On the five hour trip to denver, the plane hase a 40 MPH tailwind. On the six hour return trip to orlando, the plane faces a 40 MPH headwind. What is the speed of the airplane in STILL air?
Click here to see answer by Alan3354(30967)

Question 621840: Two airplanes leave an airport at the same time, one going northwest (bearing 135°) at 419 mph and the other going east at 342mph How far apart are the planes after 4 hours (to the nearest mile)?
Click here to see answer by Alan3354(30967)

Question 621615: if vehicle A is travelling at a speed of 100 km per hour and passes vehicle B travelling at 90 km per hour, what would the top speed that vehicle B would need to accelerate too, to catch vehicle A at the point of 200 meters and as a second senerio at 300mt. (which A is still travelling at 100 km/h)
Thanks
Click here to see answer by ankor@dixie-net.com(15624)

Question 621891: using the formula d=rt , calculate the distance a car would travel at 80 mph for 2 1/2 hours
Click here to see answer by dragonwalker(72)

Question 621969: a boat takes 2/3 as much time to travel downstream from c to d,as to return.if the rate of the rivers current is 8kph,what is the speed of the boat in still water?

Click here to see answer by ewatrrr(10682)

Question 622036: if the rain tavels 30 miles per hour how fast is the train going in kilometers per mintue
Click here to see answer by Alan3354(30967)

Question 621942: A, B, and C each drove 100 mile lengths of a 300 mile course at speeds of 40, 50 and 60 miles per hour respectively. What fraction of the total time did A drive?

Click here to see answer by ankor@dixie-net.com(15624)

Question 622058: If you're traveling at 42 miles per hour, how long will it take to travel 60 miles?
Click here to see answer by ewatrrr(10682)

Question 622135: What is the rate if Jake traveled 100 miles on his bike in 8 hours
Click here to see answer by jim_thompson5910(28476)

Question 622174: On a day with no wind, a hot-air balloon hovers at a point above a long, straight river. On the west side of the balloon a sailboat is spotted in the river at an angle of depression of 48 degrees. On the east side, a canoe spots the balloon at an angle of inclination of 29 degrees. The distance between the balloon and the canoe is 650 m.
a) What is the height of the balloon?
b) What is the distance between the balloon and the sailboat?
c) What is the distance between the sailboat and the canoe?

I really need help, thanks in advance!
Im not sure if I am solving this correctly but this is what I have done:
Sin 29 = h/650
650 x sin 29 = 315.1
Therefore the height of the balloon is 315.1 m.
B) Sin 48 = h/650
650 x sin 48 = 483.0
Therefore the distance between the balloon and the sailboat is 483m
C) 650 + 483 = 1133
Therefore the distance between the sailboat and the canoe is 1133 m

Click here to see answer by jim_thompson5910(28476)

Question 621985: when a truck travels 60kmph, it uses 30% more fuel to travel any distance than it takes when it travels at 50kmph. the truck can travel 20 km on a litre of fuel if it is travelling at 50kmph. the truck has only 10 litre of fuel in the tank and is 160km from its destination. If it takes 20 minutes for the truck to fill the fuel, how long will the truck take to reach its destination if it is driven at 60kmph?
Click here to see answer by ankor@dixie-net.com(15624)

Question 622218: how may seconds does it take a car to travel 25 feet at 30 miles perhour

Click here to see answer by Alan3354(30967)

Question 622217: On my bike, I was able to travel 40 miles in one hour. From this information, we can determine the bike's
Click here to see answer by Alan3354(30967)

Question 622264: traveling 30 miles per hours how many seconds does it take to travel 25 feet
Click here to see answer by dragonwalker(72)

Question 622224: A rocket carrying a weather satellite is launched. As it moves through space, the rocket is tracked by two tracking stations located 24 km apart, beneath the rocket. The two tracking stations both lie west of the launching pad and are located on a straight line from the launching pad. At a specific moment, the rocket's angle of elevation from Station X is 40 degrees while the rocket's angle of elevation from Station Y is 70 degrees. Both tracking stations are west of the rocket at this moment. At this moment, what is the altitude of the rocket, correct to one decimal place?

Thanks In Advance!

So far I have this, I am not quite sure where to take it from here! Thanks
Sin 40 = x/24
24 x Sin 40 = 15.3
Click here to see answer by jim_thompson5910(28476)

Question 622298: Person A and person B start from the same location, at the same time. They ride their bikes in opposite directions for 3 hours, at which time they are 102 miles apart. person A rides 4 miles per hour faster than person B. Find the rate of each rider.
I am having trouble figuring out the equation. I made a table that looks like this:
D R T
A r+4 3
B r 3
Click here to see answer by lwsshak3(6463)

Question 622308: Find the quotient and remainder for the division problem (2t3 + 9t2 − 2t − 3) ÷ (2t + 1)
Click here to see answer by lwsshak3(6463)

Question 622388: Going north with jet stream, a plane makes a 1200 mile trip in 3 hours. Going south against the jet stream, the plane makes the trip in 4 hours. Find the speed of the plane and the speed of the jet stream.
Click here to see answer by ewatrrr(10682)

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