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

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Tutors Answer Your Questions about Travel Word Problems (FREE)


Question 345961: A passenger train leaves Norfolk, Virginia, 1.2 hours after a freight train leaves. The passenger train is traveling 18 mph faster than the freight train on a parallel set of tracks. The trains are traveling IN THE SAME DIRECTION. The two trains will be at the same location 3 hours after the passenger train leaves. Find the speed of each train.
Click here to see answer by stanbon(57290) About Me 

Question 345964: Nicholas Thompson begins a long-distance walk at a rate of 4 mph. Forty-five minutes after he leaves, his wife, Kristin, realizes that Nicholas has forgotten his wallet. Kristin gets on her bicycle and begins riding at a rate of 24 mph along the same path that Nicholas took.
Calculate how long it will take Kristin to catch Nicholas.
Calculate how far from their home Kristin will catch Nicholas.

Click here to see answer by mananth(12270) About Me 

Question 345962: Nicholas Thompson begins a long-distance walk at a rate of 4 mph. Forty-five minutes after he leaves, his wife, Kristin, realizes that Nicholas has forgotten his wallet. Kristin gets on her bicycle and begins riding at a rate of 24 mph along the same path that Nicholas took.
Click here to see answer by stanbon(57290) About Me 

Question 345948: a train travels a certain distance taking 7 hrs in forward journey, during return yourney increased speed of 12km/hr take the time 5 hrs. What is the distance traveled?
Click here to see answer by mananth(12270) About Me 

Question 346073: The winning sailboat completed a 24-mile race at an average speed of 9 miles/hour. The second-place boat finished with an average speed of 8 miles/hour. How many minutes longer than the winner did the second-place boat take to finish the race ?
A 20 min B 33 min C 60 min D 120 min

Click here to see answer by mananth(12270) About Me 

Question 345703: An airplane flying at 450 miles/hr due south experiences a westerly wind of 75 miles/hr. What is the actual velocity?
Click here to see answer by Fombitz(13828) About Me 

Question 346080: Jake was in a bicycle race.His average speed was 22 miles per hour.At this rate,how many feet per hour did jake travel?
Click here to see answer by nerdybill(6958) About Me 

Question 346145: what is the speed of a plane that travels at a rate of 560 mph with a wind of r mph?
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Question 346159: The Johnson's drove 275 miles in 5 hours. If they continue at the same speed per hour, how many miles will they have driven after 7 hours?
Click here to see answer by ewatrrr(10682) About Me 

Question 346237: On a 2 mile racetrack you bike the first mile at 10 mph. At what rate must you bike the second mile in order to average 20mph for the entire track?
I am not sure what formula to use and the average has me confused.

Click here to see answer by vleith(2825) About Me 
Question 346237: On a 2 mile racetrack you bike the first mile at 10 mph. At what rate must you bike the second mile in order to average 20mph for the entire track?
I am not sure what formula to use and the average has me confused.

Click here to see answer by Fombitz(13828) About Me 

Question 346231: A man rows upstream 16 miles in 4 hours then back downstream in 2 hours. How fast can he row in still water? How fast is the current?
Click here to see answer by ewatrrr(10682) About Me 

Question 346282: How far does a car go in 5 seconds while moving with an average velocity of 25m/s north?
Click here to see answer by solver91311(16877) About Me 

Question 346278: How far does a car go in 5 seconds while moving with an average velocity of 25m/s north
Click here to see answer by nyc_function(2733) About Me 

Question 346392: what is 2 times 10
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Question 346297: If a person travels 12 miles each way on a bus and the bus averages 36mph for a total of 24 miles how many minutes is that person on the bus?
Click here to see answer by nyc_function(2733) About Me 

Question 346433: mike and adam left a bus terminal at the same time and traveled in opposite directions. Mike's bus was in heavy traffic and had to travel 20mi/hr slower than adams's bus. After 3 hours their buses were 270 miles apart. How fast was each bus going
Click here to see answer by mananth(12270) About Me 
Question 346433: mike and adam left a bus terminal at the same time and traveled in opposite directions. Mike's bus was in heavy traffic and had to travel 20mi/hr slower than adams's bus. After 3 hours their buses were 270 miles apart. How fast was each bus going
Click here to see answer by stanbon(57290) About Me 

Question 346537: the bus travel at 30mph left city at 10:30 am the car follow at 50mph leave at 12 noon at what time the car catch up with the bus?
Click here to see answer by mananth(12270) About Me 

Question 346571: A particular hybrid car travels approximately 240 miles on 5 gallons of gas. Find the amount of gas required for a 720 mile trip.
Click here to see answer by vleith(2825) About Me 

Question 346553: I need help in my assignment. It is due on friday sept.24,2010.So, I need this before friday. Here is the situation.A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions
Question2
a. Find a fully simplified expression for v'(t)
b. Sketch a graph od v'(t) over the domain [0,10)
c. Explain what the derivative expression and sketch represents in terms of the braking situation?
d. Evaluate v'(0) and v'(2) explain the relevance of these values to the model.
Question 3
a. Find an expression for the distance traveled,s(t) after t seconds.
b. Sketch a grapgh of s(t) over the domain [0,10).
c. Discuss the limitation of this function as a model for the distance covered after braking.
d. Poor Blinky was 30m down the highway whe the brakes were applied. He was dazzled by the lights of the truck and froze to the spot.Show why our favorite koala was in a spot of bother.
e. How fast was the truck going when it struck Blinky?
f. What was the minimum distance Blinky could have been standing to avoid contact?

Click here to see answer by Fombitz(13828) About Me 

Question 346643: a train travels 300km in 5hours.find the speed?
Click here to see answer by Alan3354(30993) About Me 

Question 346616: A long distance runner starts at the beginning of a trail and runs at a rate of 6 miles per hour. An hour and a half later, a cyclist starts at the beginning of the trail and travels at a rate of 12 miles per hour. What is the amount of time that the cyclist travels before overtaking the runner?
Click here to see answer by ankor@dixie-net.com(15647) About Me 

Question 346710: Kala runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 77 minutes
Click here to see answer by ewatrrr(10682) About Me 

Question 346707: Kala runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 77 minutes
Click here to see answer by ewatrrr(10682) About Me 

Question 346737: a car traveling at 60 mph will travel how far in 7 hours?
Click here to see answer by solver91311(16877) About Me 
Question 346737: a car traveling at 60 mph will travel how far in 7 hours?
Click here to see answer by ewatrrr(10682) About Me 

Question 346736: The fastest plane ever made, the Lockheed SR71, was able to travel 2200 miles per hour. Based on this speed, how far can it travel in 2 hours, 3 hours, and 5 hours? Round answers to the nearest tenth.
Click here to see answer by solver91311(16877) About Me 

Question 346760: If i'm driving 80 mph, how many miles will I travel in 23 minutes?
Click here to see answer by ewatrrr(10682) About Me 

Question 346372: wilma drove at an average speed of 50 miles per hour in city a to visit her sister in city b. she stayed in city b 25 hours, and on the trip back averaged 55 mph. she returned home 47 hours after she left. how many miles is city a from city b.
1. In terms of , express Wilma's driving time from A to B
It is :50 mph
2. In terms of , her return driving time is: 55mph
3. Her TOTAL driving time is: 22 hours
So answer from 1. PLUS 2. set equal to 3. is the equation:
= x/50+x/55=22
4. which is the equation we must use to solve for x Your answer for x is : ???
question 4 is the only part I need help on.

Click here to see answer by scott8148(6628) About Me 

Question 346375: during a multi day camping trip, terry watkins rowed 17 hrs downstream. It took 26.5 hrs rowing upstream to travel the same distance. If the speed of the current is 6.8 km per hour less than his rowing speed in still water, find his rowing speed and the speed and the speed of the current
Click here to see answer by scott8148(6628) About Me 

Question 346847: maria drove 176,000 yards in 2 hours. how many miles per hour did she drive on average?

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Question 346415: Fernandos's motorboat can travel 30mi/h in still water. if the boat can travel 9 miles downstram in the same time it takes to travel 1 mile upstream what is the rate of the river's current?
Click here to see answer by scott8148(6628) About Me 

Question 346734: On Saturday, a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Saturday?
Click here to see answer by nyc_function(2733) About Me 

Question 346851: How long does it take an automobile traveling in the left lane at 84.2 km/h to overtake another car that is traveling in the right lane at 37.1 km/h, when the cars' front bumpers are initially 121 m apart?
THANK YOU SO MUCH!!

Click here to see answer by scott8148(6628) About Me 

Question 346904: If Andy bikes at a steady rate of 15 miles per hour, how many miles will he bike in four minutes? Ive recently tried to do 15 divided by 60 = 25, and I didn't know what to do after this.
Thank you for reading this question, it is appreaciated.

Click here to see answer by ankor@dixie-net.com(15647) About Me 

Question 346927: If I was jogging a distance of 4 miles at a rate of 3.2 miles a hour how long will it take?

Click here to see answer by ewatrrr(10682) About Me 

Question 346953: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec how far away is the target?
Click here to see answer by haileytucki(390) About Me 
Question 346953: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec how far away is the target?
Click here to see answer by mananth(12270) About Me 

Question 346965: A salesperson purchased an automobile that was advertised as averaging 25 mi/gal in the city and 40 mi/gal on the highway. A recent sales trip that covered 1800 miles required 51 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Click here to see answer by haileytucki(390) About Me 

Question 346954: I am having trouble in answering all questions in my assignment.Please help me it is due tomorrow.We are noe in calculus.A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Question2
a. Find a fully simplified expression for v'(t)
b. Sketch a graph od v'(t) over the domain [0,10)
c. Explain what the derivative expression and sketch represents in terms of the braking situation?
d. Evaluate v'(0) and v'(2) explain the relevance of these values to the model.
Question 3
a. Find an expression for the distance traveled,s(t) after t seconds.
b. Sketch a grapgh of s(t) over the domain [0,10).
c. Discuss the limitation of this function as a model for the distance covered after braking.
d. Poor Blinky was 30m down the highway whe the brakes were applied. He was dazzled by the lights of the truck and froze to the spot.Show why our favorite koala was in a spot of bother.
e. How fast was the truck going when it struck Blinky?
f. What was the minimum distance Blinky could have been standing to avoid contact?

Click here to see answer by stanbon(57290) About Me 

Question 347002: if i drove 1 mile in 45seconds, what is the mph
Click here to see answer by ptaylor(2048) About Me 

Question 347047: Mike & Bill row their boat (constant speed) 55mi downstream for 2.5hrs, helped by the current. Rowing at the same rate, the trip back against the current takes 5.5hrs. Find the rate of the current.
Click here to see answer by ptaylor(2048) About Me 

Question 347088: Two bicycle riders start at the same point and travel in opposite directions. One travels 5 kilometers per hour faster than the other. In 3 hours they are 117 kilometers apart: How fast is each traveling? Thanks !!
Click here to see answer by stanbon(57290) About Me 

Question 347061: Please help me with my calculus question.It is due tomorrow.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
1.calculate how long it took the truck to come to a stop. Express your answer as both an exact value and accurate to 2 decimal places.
2. At what time after braking was the truck's velocity 15m/s.Express your answer as both an exact value and accurate to 2 decimal places.

Click here to see answer by Alan3354(30993) About Me 

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