Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 653988: Two trains 500 miles apart accidentally are on the same track heading toward each other. The passenger train is traveling 80mph while the frieght train is traveling 40mph. a dispatcher discover the error and warns them 1 minute before they collide. how far apart were they when they were warned?
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 654006: An airplane, flying at top cruising speed, travels 1,680 miles in 6 hours with the wind. Against the wind, the airplane takes 7 hours at top cruising speed to travel this same distance. The wind speed is constant. What is the top cruising speed of the airplane?
Click here to see answer by checkley79(3341) |
Question 654006: An airplane, flying at top cruising speed, travels 1,680 miles in 6 hours with the wind. Against the wind, the airplane takes 7 hours at top cruising speed to travel this same distance. The wind speed is constant. What is the top cruising speed of the airplane?
Click here to see answer by lwsshak3(11628) |
Question 653984: Two motorcycles start at the same place but travel in opposite directions. One car averages 32 miles per hour and the other averages 28 miles per hour. In how many hours will the two motorcycles be 150 miles apart?
Click here to see answer by checkley79(3341) |
Question 654045: A field goal kicker can kick the football 22
yards into the wind. In identical conditions,
kicking with the wind, the ball travels 58
yards.
a) Find the distance the kicker can kick
with no wind.
Answer in units of yards
b) Find the distance controlled by the wind.
Answer in units of yards
Click here to see answer by lwsshak3(11628) |
Question 654639: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet. Find the distance from the wall to the bottom of the ladder if the length is one foot more than twice its distance from the wall.
Click here to see answer by stanbon(75887) |
Question 654723: Joe can row a boat a distance of 12.75 miles in 1.5 hours when he is rowing with the current. It takes him 1.7 hours to row the same distance when he is rowing against the current. What is the rate of the current? At what rate can Joe row in still water?
Click here to see answer by lwsshak3(11628) |
Question 655039: Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 5 mi/hr and the other due west at 2 mi/hr . How long can they communicate with one another if each radio has a maximum range of 6 miles? (Round to the nearest minute.)
Click here to see answer by stanbon(75887) |
Question 654872: An express train leaves Grand Central Station 1 h after a freight train leaves the same station. The express train is traveling 12 mph faster than the freight train. Find the rate at which each train is traveling if the express train overtakes the freight train in 5 h.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 655160: A baseball is hit by Ordonez at an initial velocity of 145 feet per second. Using the equation of height versus time h= -16t^2+v0t+h0 , where h is height at a given time, v0 is initial velocity, and h0 is the initial height, what is the maximum height the ball reaches assuming no wind resistance? How long does the ball stay in the air?
Click here to see answer by nerdybill(7384)  |
Question 655240: A jazz group on tour has been drawing average crowds of 600 people. It is projected that for every $1 increase in the $13 ticket price, the average attendance will decrease by 75. At what ticket price will nightly receipts be $5,100?
Click here to see answer by lwsshak3(11628) |
Question 655413: Your friend flew to Miami in a plane that averaged 600 mi/h. She drove back home, averaging 50 mi/h. What is her average speed in miles per hour for the whole trip? Assume the distances by plane and car are equal.
Click here to see answer by Alan3354(69443)  |
Question 655436: a bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30 pm and travels the same route as the bus, but travels at a rate of 60 miles per hour. What time will the car catch up to the bus?
Click here to see answer by josmiceli(19441)  |
Question 655554: Please I need the answer for this!
A Train left the station at 9 a.m. traveling at 50 mph, At 11 a.m., an airplane left the same place in the same direction at 175 mph. At what time did the plane overtake he train?
Click here to see answer by Alan3354(69443) |
Question 655599: can you please help me for solve this question?..:( here is a ques.
a man decides to travel 80km in 8 hours partly by foot and partly on a cycle.ifhis speed on foot is 8km per hr and on cycle is 16km per hr,what distance he travel on foot?
Click here to see answer by ewatrrr(24785)  |
Question 655605: Hong drove 792 miles in 11 hours.
At the same rate, how long would it take him to drive 504 miles?
For this problem we will use the formula: Distance = Rate × Time or D=RT. Where D = Distance, R = Rate, and T = Time.
We must observe there are multiple steps required needed to yield a solution. The question asked is: …how long would it take him to drive 504 miles? So, we are being asked to calculate the amount of time it would take to travel 504 miles.
We know that Hong traveled 792 miles in 11 hours, but we do not know the rate (miles per hour) it took him to make this trip. This is where we apply the formula: D=RT.
Let’s review our given variables:
D = 792 miles
T = 11 hours
R = ?
The rate (R) is our unknown. So we need to establish a formula where we are solving for “R”
We know D=RT, but we need to solve for R,
1. D = RT, but we are solving for R and need to isolate this variable.
2. T (Time) is on the right hand side of the expression, and needs to be moved to the left hand side of the expression.
3. We undo multiplication by dividing both sides of the equation by T: 
4. The T’s cancel each other out on the right hand side
5. The final formula is: 
6. Next we plug in our given variables:  , and divide  = Rate
7. This gives us our rate (R) of 72 miles per hour.
Now we know the rate (R) that we need to answer the question. Remember we are using the same rate to figure the time it would take Hong to travel 504 miles.
Here we apply our formula again: D=RT
Let’s Review our given variables for this part of the problem:
D = 504 miles
R = 72 miles per hour
T = ?
The time (T) is our unknown now. We know D=RT, but now we must solve for T.
1. D = RT, but we are solving for T and need to isolate this variable.
2. R (Rate) is on the right hand side of the expression, and needs to be moved to the left hand side of the expression.
3. We undo multiplication by dividing both sides of the equation by R:  = 
4. The R’s cancel each other out on the right hand side
5. The final formula is: 
6. Next we plug in our given variables:  , and divide  = Time
7. This gives us our time (T) of 7 hours.
So it would take Hong 7 hours to drive 504 miles.
Click here to see answer by rfer(16322) |
Question 655605: Hong drove 792 miles in 11 hours.
At the same rate, how long would it take him to drive 504 miles?
For this problem we will use the formula: Distance = Rate × Time or D=RT. Where D = Distance, R = Rate, and T = Time.
We must observe there are multiple steps required needed to yield a solution. The question asked is: …how long would it take him to drive 504 miles? So, we are being asked to calculate the amount of time it would take to travel 504 miles.
We know that Hong traveled 792 miles in 11 hours, but we do not know the rate (miles per hour) it took him to make this trip. This is where we apply the formula: D=RT.
Let’s review our given variables:
D = 792 miles
T = 11 hours
R = ?
The rate (R) is our unknown. So we need to establish a formula where we are solving for “R”
We know D=RT, but we need to solve for R,
1. D = RT, but we are solving for R and need to isolate this variable.
2. T (Time) is on the right hand side of the expression, and needs to be moved to the left hand side of the expression.
3. We undo multiplication by dividing both sides of the equation by T:
4. The T’s cancel each other out on the right hand side
5. The final formula is:
6. Next we plug in our given variables: , and divide = Rate
7. This gives us our rate (R) of 72 miles per hour.
Now we know the rate (R) that we need to answer the question. Remember we are using the same rate to figure the time it would take Hong to travel 504 miles.
Here we apply our formula again: D=RT
Let’s Review our given variables for this part of the problem:
D = 504 miles
R = 72 miles per hour
T = ?
The time (T) is our unknown now. We know D=RT, but now we must solve for T.
1. D = RT, but we are solving for T and need to isolate this variable.
2. R (Rate) is on the right hand side of the expression, and needs to be moved to the left hand side of the expression.
3. We undo multiplication by dividing both sides of the equation by R: =
4. The R’s cancel each other out on the right hand side
5. The final formula is:
6. Next we plug in our given variables: , and divide = Time
7. This gives us our time (T) of 7 hours.
So it would take Hong 7 hours to drive 504 miles.
Click here to see answer by meay7c(10)  |
Question 656097: Carolyn and Brian work in an accounting office. If they work together they can complete a corporate tax return in 2.5 hours. Working alone, it would take Brian 35 minutes longer than Carolyn to complete the return. How long does it take each person working alone to finish the job?
Click here to see answer by lwsshak3(11628) |
Question 656081: A motorboat makes a round trip on a river 56 miles upstream and 56 miles downstream, maintaining the constant speed of 15 mph relative to the water. The entire trip up and back takes 7.5 hours. What is the speed of the current?
Click here to see answer by lwsshak3(11628) |
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