Tutors Answer Your Questions about Travel Word Problems (FREE)
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)  |
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)  |
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(16946)  |
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)  |
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(75887) |
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(75887) |
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(69443)  |
Question 347037: Hi everyone.I really need your help answering all of these questions in my assignment.It is my only chance to pass my subject.
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 Fombitz(32388)  |
Question 347063: hello everyone.I need your help with my Calculus assignment. It is due tomorrow.Please help me.
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.
Questions:
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(32388)  |
Question 347060: 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.
Question:Modify the function for breaking velocity of the breaking truck, v=-5+30e^-t/2 to ensure the truck stops just short of blinky bill. Justify your answer.We want the truck to get as close as possible without touching poor blinky bill.
Click here to see answer by Fombitz(32388)  |
Question 347251: hello everyone.I need your help with my Calculus assignment. It is due today.Please help me.The right equation is,v=-5+30e^-t/2
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=-5+30e^-t/2
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Questions:
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(32388)  |
Question 347606: if you are traveling at 65 mph to a location that is 20 miles away, how long (round to the nearest minute) will it take to reach your destination, assuming you maintain a constant speed?
a. 30 minutes
b. 22 minutes
c. 18 minutes
d. 14 minutes
e 9 minutes
Click here to see answer by Fombitz(32388)  |
Question 347606: if you are traveling at 65 mph to a location that is 20 miles away, how long (round to the nearest minute) will it take to reach your destination, assuming you maintain a constant speed?
a. 30 minutes
b. 22 minutes
c. 18 minutes
d. 14 minutes
e 9 minutes
Click here to see answer by mananth(16946)  |
Question 347630: Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 2 mi/hr and the other due west at 4 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.98 miles?
Round the answer to the nearest minute.
Click here to see answer by checkley77(12844) |
Question 347693: Hillary is driving North on Route 15 with her cruise control set on 55 mph. Her car is 15 feet long. If it takes 0.2 seconds to pass the same type of car in the opposite direction, how fast is the other car traveling?
(r1+r2)t=d
Click here to see answer by josmiceli(19441)  |
Question 347702: A tight end can run the 100 yard dash in 12 seconds. A defensive back can do it in 10 seconds. The tight end catches a pass at his own 20 yard line with the defensive back at the 15 yard line. If no players are nearby, at what yard line will the defensive back catch up to the tight end?
Click here to see answer by scott8148(6628)  |
Question 347739: In his motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing spot, a distance of 36 mi in 2 hours. Returning, he finds that the trip downstream, still at top speed, takes only 1.5 hours. Find the speed of Bill's boat and the speed of the current. Let x = the speed of the boat and y= the speed of the current.
Click here to see answer by scott8148(6628)  |
Question 347770: Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip, against the current, takes 4 hours. Find the average speed of the boat for the entire trip, and the speed of the current?
I got 14 mph for the speed of the boat and 2mph for the current, but the answer is 13 5/7 mph for the speed of the boat. This is what I got:
x-y*4= 48
x+y*3= 48 and then solved by elimination
Click here to see answer by Alan3354(69443)  |
Question 347975: a man is walking at an average speed of 4 miles per hour alongside a railroad track. a freight train, going in the same direction at an average speed of 30 miles per hour, requires 5 seconds to pass the man. how long is the freight train (in feet)?
Click here to see answer by Alan3354(69443)  |
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