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

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Question 450539: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are 60 and 45 mph and the freight train had an hour and a half head start?
Click here to see answer by mananth(12270)

Question 450560: if a helicopter travels 180 miles in 2 hours how long would it take to travel 495 miles at the same rate
Click here to see answer by stanbon(57347)

Question 450568: Could you please help me on how to solve this problem; I tried to figure out the answer but it do not look right.
"John found his plane could fly at 6 times the speed of the wind. He flew 700 miles upwind in 3 hours more than it took to fly 560 miles downwind. What was the speed of the plan in still air?"
My answer: (a). (A + W)T_D = D_D
(b). (A – W)T_U = D_U
(6W + W)(T_U + 3) = 560 →
(6W + W)T_U = 700
7WT_U + 3W = 560 →
7WT_U = 700 →
WT_U = 100
7(100) + 3W = 560 →

Click here to see answer by rwm(914)

Question 450487: two cars leave the same location at the same time and travel in the same direction along a road. The first car is traveling at a rate of 55 m/ph. the second car is traveling at a rate of 35 m/ph. how many time will pass before the cars are exactly 100 miles apart
Click here to see answer by rwm(914)

Question 450468: at 55mph how long would it take to travel 84 miles?

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Question 450441: A rowing team practices rowing 2 miles upstream and 2 miles downstream. The team can row downstream 25% faster than they can row upstream. Let r represent their rate upstream. Write and simplify an expression for the amount of time they spend rowing.
Click here to see answer by ankor@dixie-net.com(15652)

Question 450733: An airplane travels 120 miles for 12 miles, how fast was it traveling?
Click here to see answer by Alan3354(30993)

Question 450729: An aeroplane flies a distance of 900km from A to B.if its average speed is 600km/h, how long does it take to cover that distance?
Click here to see answer by Alan3354(30993)

Question 450457: George bicycles at 18mph. Sam roller blades at 22mph. If they both leave the same place at the same time,after how much time will they be 12 miles apart?
Click here to see answer by ankor@dixie-net.com(15652)

Question 451020: A container ship left Port 20 two hours before a cruise ship. The ships traveled in opposite directions. The cruise ship traveled at 29 km/h for six hours. At this time, the ships were 374 km apart. What the the container ship's speed?
Click here to see answer by rwm(914)

Question 451106: How long will it take a car traveling 20 mph to go 20 feet? (I need this for testimony in court in a car accident case, and am not good at math)
Click here to see answer by stanbon(57347)

Question 451109: A distance runner ran 188 miles in 24 hours. After 8 hours he was approximately twice as far from the finish line as he was from the start. How far did he run?
I have problems with word problems along with just learning algebra.
Click here to see answer by stanbon(57347)

Question 451132: A train is going 60 miles per hour. How many hours will it take the train to travel 600 miles to one city and then 120 miles further to another city?
Click here to see answer by rwm(914)

Question 450782: two cities are 315 miles apart. A car leaves city A towards city B at 50mph. At the same time, a bus leaves city b at 65mph toward city A. How long with it take them to meet?
Click here to see answer by rwm(914)

Question 450741: Two cars leave an intersection at the same time. One drives east while the other drives south at 10 miles per hour faster than the other. After 2 hours, the cars are 100 miles apart. How fast is the southbound car traveling?
Click here to see answer by rwm(914)

Question 451147: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function . What is the maximum height that the ball will reach?
h(t)=60t-16t^2
Click here to see answer by ewatrrr(10682)

Question 450665: 6.In 5 minutes a person running at 10 km/h covers a distance of
_____meter?

Click here to see answer by rwm(914)

Question 450154: A plane travels a distance of 1000 km in 2.5 hours while flying against the wind and in 2 hours while flying with the wind. find the speed of the wind and the speed of the plane in still air.
Click here to see answer by rwm(914)

Question 451163: A cyclist rides his bike at a rate of 24 miles per hour. What is this rate in miles per minute? How many miles will the cyclist travel in 2 minutes?
Click here to see answer by ewatrrr(10682)

Question 451186: if i drive at the speed of 25km an hour how many minutes would it take to travel 60 km distance?
Click here to see answer by josmiceli(9678)

Question 451235: bridgett says she can swim 500 yards in 5 minutes. She claims this is the rate of 35 mph. Is her claim reasonable? Explain?
Click here to see answer by jorel1380(2518)

Question 451235: bridgett says she can swim 500 yards in 5 minutes. She claims this is the rate of 35 mph. Is her claim reasonable? Explain?
Click here to see answer by ewatrrr(10682)

Question 451344: a truck can travel 120 miles in the same time that it takes a car to travel 180 miles. If the trucks rate is 20 miles per hour slower then the car's, find the average rate for each
Click here to see answer by jorel1380(2518)

Question 451470: how many miles will someone travel if they are going 40mph for 36 minutes?
Click here to see answer by robertb(4012)

Question 451481: An airplane flew for 4 hours with a 15mph tail wind. The return flight against the same wind took 5 hours. Find the speed of the airplane still in air.
Click here to see answer by mananth(12270)

Question 451471: A plane takes 3.5 houes to fly with the wind from new york city to miami and 4 hours to return against the wind. If the distance from NYC to Miami is 1200 miles, find the rate of the plane and the rate of the wind.
Click here to see answer by rwm(914)

Question 451330: the johnsons traveled 300 km in 4 hours. at that rate how long will it take them to travel 500 km

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Question 451318: I average 50 miles an hour when driving, how long will it take me to drive 20 miles?
Click here to see answer by rwm(914)

Question 451292: How long does it take to travel .6 miles at 61 mph?
How long does it take to travel .6 miles at 45 mph?
Click here to see answer by rwm(914)

Question 451530: A boat travels 12 km upstream in 2 hr. If the return trip takes 1 hr, find the speed of the boat.
Click here to see answer by rwm(914)

Question 451550: Noah can row 30 km downstream in 1.5 hr.Rowing upstream against the current he travels 12 km in 1.5 hr. Find the rate Noah rows and the rate of the current.
Click here to see answer by pedjajov(51)

Question 451532: A plane travels 1200 miwith the wind in 2 hr. The return trip against the wind takes 3 hr. Find the rate of the plane.
Click here to see answer by pedjajov(51)

Question 451571: using the formula for a path of a projectile h = -4.9t^2 + vt + s where h is the height in meters, t is the time in seconds, v is the initial vertical velocity in meters per second and s is the initial height in meters. A rocket fired from a height of 1.3 meters at an initial vertical velocity of 45 meters per second will the rocket ever reach a height of 190 meters?
I used h = -4.9t^2 + 45t + 1.3 and have come up with .09 and 9.21 but don't understand what that means. is that the max height or ?? Thanks

Click here to see answer by htmentor(789)

Question 451577: A train travels 750 km in 10 hours. What was the average speed of the train?
Click here to see answer by nerdybill(6958)

Question 451742: A train traveled at a constant rate of f feet per second. How many feet did it travel in x minutes?
Click here to see answer by ewatrrr(10682)

Question 451742: A train traveled at a constant rate of f feet per second. How many feet did it travel in x minutes?
Click here to see answer by solver91311(16885)

Question 451823: An airplane flies 1,050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. What is the speed of the wind?
Click here to see answer by josmiceli(9678)

Question 451534: Debbie leaves the house walking at a rate of 3 miles per hour. After 10 minutes, her mother realizes that Debbie has forgotten her homework and leaves the house riding a bicycle at a rate of 10 miles per hour. How many minutes after Debbie initially left the house will her mother catch up to her?
Click here to see answer by ankor@dixie-net.com(15652)

Question 451884: joshua rowed a boat 24 miles downstream in 4 hours. in order to make the return trip upstream in the same amount of time, he doubled his rowing rate(the rate of the boat in still water). find the rate of the current and the rate of the boat in still water on the downstream trip.
Click here to see answer by jorel1380(2518)

Question 451945: length of a train traveling at 60 miles an hour and takes 3 seconds to enter a tunnel

Click here to see answer by jorel1380(2518)

Question 451947: A passenger train made a trip to New York and back. On the trip there it traveled 10 km/h and on the return trip it went 15 km/h. How long did the trip there take if the return trip took six hours?
Click here to see answer by jorel1380(2518)

Question 451949: At a high school cross country meet, Jared jogged 8 mph for the first part of the race, then increased his speed to 12 mph for the second part. If the race was 21 mi. long and Jared finished in 2hr., how far did he jog the faster pace
Click here to see answer by pedjajov(51)

Question 452048: When a ball is thrown, its height in feet h after t seconds is given by the equation
h=vt-16t^2
where v is the initial upwards velocity in feet per second. If v=19 feet per second, find all values of t for which h=5 feet. Do not round any intermediate steps. Round your answer to 2 decimal places.
t= ? seconds
Could there be more than one answer? If so, what are all answers?
Click here to see answer by htmentor(789)

Question 452105: A car travels for 13 hours, 13 minutes and 13 seconds, at a speed of 13 miles per hour. How far does the car travel?

Click here to see answer by Alan3354(30993)

Question 452106: A car travels 13 hrs, 13 mins, and 13 seconds, at a speed of 13 miles per hour. How far does the car travel?
Click here to see answer by Alan3354(30993)

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