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

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Question 884036: Sam lives 45 miles due West of where he works. Everyday he drives on the highway at 65 mph. Jim works in the same building, and lives 30 miles due East, but is only able to drive 40 mph. If they do not stop at the building where they work and just kept on driving, after how much time would they pass each other on the road? Round to the nearest THOUSANDTH of an hour.
Click here to see answer by josgarithmetic(39613) About Me 

Question 884105: your car gets 28 miles to the gallon, how many liters of gasoline are necessary to travel 125 km?
125km = 77.6714 miles

Click here to see answer by josgarithmetic(39613) About Me 

Question 884116: If it takes me 10 minutes to travel 10 miles what is the average speed.
Click here to see answer by josmiceli(19441) About Me 

Question 884129: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels miles per hour faster than the eastbound train. If the two trains are miles apart after hours, what is the rate of the westbound train?
Click here to see answer by Alan3354(69443) About Me 

Question 884133: suppose you have entered a 62 mile biathlon that consist of a run and a bicycle race. during your run your average velocity is 8mph and during your bicycle race your average velocity is 20mph. you finished the race in 4 hrs. what is the distance of the run?
Click here to see answer by lwsshak3(11628) About Me 

Question 884219: if you are driving at a constant speed of 85 miles per hour how long will it take you to travel 1020 miles?

Click here to see answer by vleith(2983) About Me 

Question 884250: A bus covers 670 km in 16 hours. At what speed per hour does the bus move?
Click here to see answer by Alan3354(69443) About Me 

Question 884262: if i drive at a speed of 60 mph, how long will it take me to get from coventry to london?

Click here to see answer by Fombitz(32388) About Me 

Question 884277: I run a mile in 8 minutes. How long will it take me to run 1,300 miles?

Click here to see answer by Alan3354(69443) About Me 

Question 884173: a car milometere shows 15951.After 2 hours it shows another palindromic number.how fast was the car going on the average
Click here to see answer by richard1234(7193) About Me 

Question 884287: a car travelling at 108km/hour has its speed reduced to 36 km/hour while travelling a distance of 200 m .then what is accelaration and time taken are ????????????????????????
Click here to see answer by Fombitz(32388) About Me 

Question 884295: Two buses leave MCLA at noon. One travels west at 40 miles per hour and the other travels east at 68 miles per hour. How far apart are they after two and a half hours?
Click here to see answer by Fombitz(32388) About Me 

Question 884310: From San fransico to Rowland height and You have 200 miles to go what time will you arrivre?

Click here to see answer by Alan3354(69443) About Me 

Question 884306: I'm Traveling 80 Mph AnD Have 55 MileS To Go How Long Will It Take meTo Get there
Click here to see answer by Alan3354(69443) About Me 

Question 884341: my equation is y=-3t^2+6t+45
and the question is when is she less then 21 metres from the water?

Click here to see answer by Alan3354(69443) About Me 

Question 884342: if it took someone 1/5 hour longer going 50 mph, then the same trip at 60 mph. how many miles did they travel?
Click here to see answer by josmiceli(19441) About Me 

Question 884351: Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/sec and 8 m/sec respectively. If the circumference of the circle is 300 meters,after what time will they meet at the starting point ?
Click here to see answer by stanbon(75887) About Me 

Question 884315: A car traveled 120 miles in the same amount of time that it took an airplane
to travel 1050 miles. The speed of the airplane was 310 miles per hour faster than the speed of the car. Find the speed of the airplane.

Click here to see answer by geetha_rama(94) About Me 

Question 884367: a car left traveling north at 10 am. another car left the house traveling south two hours later. if the cars tracked at the sam rate and were 450 miles apart at 4pm, what was the rate of each car?
Click here to see answer by josmiceli(19441) About Me 

Question 884254: Jane works due north of her home. Her husband Juan works due east. They leave for work at the same time. By the time Jane is 7 miles from home, the distance between then is only 1 mile more than Juans distance from home. How far from home is Juan?
Click here to see answer by lwsshak3(11628) About Me 

Question 884384: A bus started from town A for town B, 160 km away. After traveling 20 km, it was detained for 20 minutes. In order to reach B on schedule, it traveled the rest of the way at the rate of 10 kph faster. Find the original speed.
Click here to see answer by geetha_rama(94) About Me 

Question 884383: If Zara walks at 5km/hr, she reaches the bus stop 5 minutes late and if she walks 6km/hr, she reaches the bus stop 5 minutes earlier. The bus stop is at a distance of???
Click here to see answer by Saleh Foisal(1) About Me 

Question 884369: Pa got in his '27 ford and started driving west from Memphis at a constant speen of 40 mph. An hour later ma got in her '34 Buick and started driving west from Memphis at a constant speed. After driving 4 hours ma had passed pea and was 20 miles ahead of him. How fast was ma driving?
Click here to see answer by lwsshak3(11628) About Me 

Question 884385: Rudy rode 18 km downstream & back to the same place where he started in 3 hours. Find the rate of Rudy in still water if the velocity if the stream is 3kph.
Click here to see answer by lwsshak3(11628) About Me 

Question 884489: If I leave home at 8 o'clock and it takes 70 minutes to get to the place. At what time will I arrive?

Click here to see answer by Fombitz(32388) About Me 

Question 883264: two busses leave Columbia at the same time driving opposite directions. buss A averages 55 mi/h buss B averages 48mi/h when will they be 618 mi apart?

Click here to see answer by Fombitz(32388) About Me 

Question 884415: Pa got in his '27 ford and started driving west from Memphis at a constant speed of 40 mph. An hour later ma got in her '34 Buick and started driving west from Memphis at a constant speed. After driving 4 hours ma had passed pa and was 20 miles ahead of him. How fast was ma driving?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 884514: Rita is on her way home in her car. She has driven 24 miles so far, which is two-thirds of the way home. What is the total length of her drive?
Click here to see answer by josmiceli(19441) About Me 

Question 884524: A driver takes 4.5 minutes to travel from mile marker 278 to mile marker 283. What is his av- erage velocity in miles per hour? The answer is about 67 mph but i don't know how to get it
Click here to see answer by lwsshak3(11628) About Me 

Question 884416: Two cars move at a constant velocity in a straight line. If they move in opposite directions the cars will be 600m apart after 30s. If they move in the same direction they will be 25m apart after 25s. Calculate thier velocities in m/s.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 884539: what is the average speed of a jet that flies 2700 km in 3.5 hours

Click here to see answer by geetha_rama(94) About Me 

Question 884560: the second's hand of a watch is two centimetres long what is the speed of this tip of the hand
Click here to see answer by Fombitz(32388) About Me 

Question 884587: You are standing 1/3 of the length in on the bridge and can run with a speed of 20 Km/h
Here we can choose two scenarios:
1. You run 1/3 of the bridge's length in the direction of the train and is just fast enough to fling you off the bridge before being hit by the train.
2. You run 2/3 of the bridge's length away from the train, also here just in time to throw you off the bridge before the train hit you.
What is the speed of the train?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 884607: A plane flies 1200 miles in 4 hours with the wind, but takes 5 hours to make the return trip against the same wind. What is the plane's average speed in still air?
Click here to see answer by ewatrrr(24785) About Me 

Question 884626: A car can travel 2/5 mile in 1/2 minute. What is the car speed in miles per hour?
Click here to see answer by ewatrrr(24785) About Me 

Question 884616: jJoe and Louise are making a drive from San Diego to Salt Lake City. After 4 hours of driving, they are 507 miles from Salt Lake City. Eight hours into their trip, they are only 267 miles away from their destination. Assume they averaged the same speed for the entire trip.
Question 1. In how many hours will they reach Salt Lake City from time they left San Diego?
2. How far from Salt Lake City will they be after 10 hours of driving?
3. When will they be 300 miles from Salt Lake City?
4. What is the distance from San Diego to Salt Lake City?
Please help me..

Click here to see answer by josgarithmetic(39613) About Me 

Question 884636: two cyclists start from the same time from two points which are 5km apart.if one moves west at 10kmph and the other moves east at 12kmph,what will be the distance between them after 1 hour 30 minutes
Click here to see answer by Fombitz(32388) About Me 

Question 884189: Going Round-Trip with the World’s Fastest Land Animal
According to the Travel Almanac, the world’s fastest land animal is the cheetah. It can travel at up to 70 mph. Think of this scenario: A cheetah sitting under a tree sprints toward its prey at 70 mph. It runs back to its initial spot by the tree at a modest 40 mph. The cheetah has embarked on a round-trip. Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.
Can we say that this cheetah’s average rate was 55 mph?
That’s one of the things you’ll determine as you work to complete this task. Make a conjecture. What do you think the answer will be?
If the cheetah sprinted at maximum speed, how far would the cheetah have traveled?
a. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units of distance and time must agree. Use the conversion information from the warm-up to write a rate in miles per minute.

b. Let t = 10 and solve for the distance the cheetah covered in 10 minutes.

Step 2: Calculating distance using varied speeds
Suppose the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes.
a. How far would the cheetah have traveled in the first 8 minutes? Show how you arrived at your answer.

b. How far would the cheetah have traveled in the next 8 minutes? Show how you arrived at your answer.

c. How much farther did the cheetah travel in the first 8 minutes than in the second 8 minutes?

d. The cheetah traveled 1.75 times faster for the first 8 minutes than it did for the second 8 minutes. Was the distance traveled during the first 8 minutes 1.75 times greater than the distance traveled during the second 8 minutes? Show the calculation to justify your answer.

e. If the cheetah made a round-trip and took half the amount of time on the return trip as on the front end of the trip, what would be the relationship between the average rates on each leg of the trip? Using a complete sentence, explain how you arrived at this conclusion.
Step 3: Calculating time
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to its resting place, the cheetah travels an average of 70 mph. If the cheetah traveled for 15 minutes, how many minutes did the return trip take to the nearest minute and second?
a. Set up the table as follows. Label the rows “To the River” and “From the River.” Label the columns “Distance,” “Rate,” and “Time (in Hours).” Let t represent the unknown quantity in the problem. Fill in the table.

b. From the table, set up an equation relating the distances.

c. Solve the problem. Write the answer in a complete sentence, stating it in terms of minutes and seconds.
Now it’s time to tackle the original question.
Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.
Can we say that this cheetah’s average rate was 55 mph?
a. The average rate for the trip is equal to the total distance traveled divided by the total time traveled. The following equations represent the distance traveled on each leg of the trip.
First leg of trip: 𝑑=𝑟1𝑡1
Second leg of trip: 𝑑=𝑟2𝑡2
Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.
)
b. The following equation represents the average rate for the trip. Is this equation equivalent to the one you wrote above? Explain why or why not.

)


c. The following steps show how the equation for the average rate can be transformed so that it is written in terms of only the rates for each leg of the trip. Write an algebraic justification for each step. Think about the number operations and properties that you know.



(
)

(
)

(
d. Using the equation for average rate above, determine the cheetah’s average rate for the entire trip.





Click here to see answer by richwmiller(17219) About Me 
Question 884189: Going Round-Trip with the World’s Fastest Land Animal
According to the Travel Almanac, the world’s fastest land animal is the cheetah. It can travel at up to 70 mph. Think of this scenario: A cheetah sitting under a tree sprints toward its prey at 70 mph. It runs back to its initial spot by the tree at a modest 40 mph. The cheetah has embarked on a round-trip. Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.
Can we say that this cheetah’s average rate was 55 mph?
That’s one of the things you’ll determine as you work to complete this task. Make a conjecture. What do you think the answer will be?
If the cheetah sprinted at maximum speed, how far would the cheetah have traveled?
a. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units of distance and time must agree. Use the conversion information from the warm-up to write a rate in miles per minute.

b. Let t = 10 and solve for the distance the cheetah covered in 10 minutes.

Step 2: Calculating distance using varied speeds
Suppose the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes.
a. How far would the cheetah have traveled in the first 8 minutes? Show how you arrived at your answer.

b. How far would the cheetah have traveled in the next 8 minutes? Show how you arrived at your answer.

c. How much farther did the cheetah travel in the first 8 minutes than in the second 8 minutes?

d. The cheetah traveled 1.75 times faster for the first 8 minutes than it did for the second 8 minutes. Was the distance traveled during the first 8 minutes 1.75 times greater than the distance traveled during the second 8 minutes? Show the calculation to justify your answer.

e. If the cheetah made a round-trip and took half the amount of time on the return trip as on the front end of the trip, what would be the relationship between the average rates on each leg of the trip? Using a complete sentence, explain how you arrived at this conclusion.
Step 3: Calculating time
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to its resting place, the cheetah travels an average of 70 mph. If the cheetah traveled for 15 minutes, how many minutes did the return trip take to the nearest minute and second?
a. Set up the table as follows. Label the rows “To the River” and “From the River.” Label the columns “Distance,” “Rate,” and “Time (in Hours).” Let t represent the unknown quantity in the problem. Fill in the table.

b. From the table, set up an equation relating the distances.

c. Solve the problem. Write the answer in a complete sentence, stating it in terms of minutes and seconds.
Now it’s time to tackle the original question.
Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.
Can we say that this cheetah’s average rate was 55 mph?
a. The average rate for the trip is equal to the total distance traveled divided by the total time traveled. The following equations represent the distance traveled on each leg of the trip.
First leg of trip: 𝑑=𝑟1𝑡1
Second leg of trip: 𝑑=𝑟2𝑡2
Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.
)
b. The following equation represents the average rate for the trip. Is this equation equivalent to the one you wrote above? Explain why or why not.

)


c. The following steps show how the equation for the average rate can be transformed so that it is written in terms of only the rates for each leg of the trip. Write an algebraic justification for each step. Think about the number operations and properties that you know.



(
)

(
)

(
d. Using the equation for average rate above, determine the cheetah’s average rate for the entire trip.





Click here to see answer by Alan3354(69443) About Me 

Question 884632: A motorboat can travel 84 miles in 2 hours with the current. Against the current, the same trip takes 3 hours. What is the speed of the current and the speed of the boat in still water?
Click here to see answer by ewatrrr(24785) About Me 

Question 884664: two boys on bicycles start toward each other at the same time from two towns 70 km apart. the first travels at 12km/h. what is the speed of the other boy if they meet in 2 1/2 hours?
Click here to see answer by lwsshak3(11628) About Me 

Question 884681: You are travelling to the scene of an accident, and the traffic is terrible. Your average speed has slowed to 30 km/h. Assuming you still have another 10 km to travel, and your speed does not change, how long will it take
Click here to see answer by skartikey(21) About Me 

Question 884670: A car travels 2 hours at uniform speed. If it will slow down to 1/2 of original speed, the car reaches its destination 30 minutes later covering a total distance of 84 km. What is the original speed?
Click here to see answer by josgarithmetic(39613) About Me 
Question 884670: A car travels 2 hours at uniform speed. If it will slow down to 1/2 of original speed, the car reaches its destination 30 minutes later covering a total distance of 84 km. What is the original speed?
Click here to see answer by lwsshak3(11628) About Me 

Question 884680: the post office building in manilais 21.8 meters away from the southern bank of the pasig river. from a window of the building 18.5 meters above the ground, a man finds that the angle of depression of the northern bank is 8 degrees and 12 minutes. what is the width of the river at this point?
Click here to see answer by lwsshak3(11628) About Me 

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17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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