Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 262521: a crew of eight can row 20 kilometers per hour in still water. The crew rows upstream and then returns to its starting point in 15 minutes. If the river is flowing a 2 km/h, how far upstream did the crew row?
could you please show me how to set this problem up into an equation?
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 262649: A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 15 minutes and then rows downstream, returning to his starting point in another 10 minutes.
(a) Find the rate of the current. mi/hr
(b) Find the total distance traveled. mi
Click here to see answer by mananth(16946)  |
Question 262663: I am struggling with equations for mpj's ultimate math lessons entitled "tortoise and the Hare"
I have the following rate equations
Tortoise is d=1000 = .75t
hare is d=6t
rate is d=1200 - 2t
how to I know when the pass each other from the starting line?
Click here to see answer by richwmiller(17219)  |
Question 262716: A driver travels 12 miles to work at a constant speed and travels the same distance home also at a constant speed. His speed on the trip home is 10 miles per hour faster than the trip to work and the total time for both trips is 1 hours. Find his speed on the way to work.
Click here to see answer by drk(1908) |
Question 262788: a diver jumps from a diving board 24' above a pool. After t seconds, the diver's height h above the water (in feet) is given by the expression -16t^2+8t+24 in how many seconds will the diver hit the water (h=0)
that is how it is in the book and i am lost
Click here to see answer by ankor@dixie-net.com(22740) |
Question 262849: Two planes are leaving a certain airport and are flying an identical path. Plane A
travels at a constant speed of 300 mph, and plane B, at 500 mph. Plane B leaves exactly
one hour after plane A has left. How long does it take for Plane B to pass plane A?
Click here to see answer by stanbon(75887) |
Question 262848: the formula h=vt-16t^2 gives the height h in feet of an object after t sec. Here v is the initial velocity of the object expressed in feet per second. suppose a toy rocket was launched from the ground straight up with an initial velocity of 64ft/sec. How many seconds after launch was the rocket 48 ft above the ground.
ok so here is what i have so far:
using the formula and what is given i have 48=64t-16t^2 so i need to make it a quadratic like this 64t-16t^2-48=0 then multiply by -1 and put it in the correct order i get:
16t^2-64t+48=0
16(t^2-4t+3)=0
16(t-3)(t-1)
so i get two positive answers. when i put t=1 into the formula like this:
48=64(1)-16(1^2) I get
48=48
but how can something launched at 64ft per second only be 48 feet up after 1 second? is my answer wrong or am i missing something in the physics of the problem?
i hope my notation is clear. any help you can give would be appreciated.
Click here to see answer by dabanfield(803) |
Question 262848: the formula h=vt-16t^2 gives the height h in feet of an object after t sec. Here v is the initial velocity of the object expressed in feet per second. suppose a toy rocket was launched from the ground straight up with an initial velocity of 64ft/sec. How many seconds after launch was the rocket 48 ft above the ground.
ok so here is what i have so far:
using the formula and what is given i have 48=64t-16t^2 so i need to make it a quadratic like this 64t-16t^2-48=0 then multiply by -1 and put it in the correct order i get:
16t^2-64t+48=0
16(t^2-4t+3)=0
16(t-3)(t-1)
so i get two positive answers. when i put t=1 into the formula like this:
48=64(1)-16(1^2) I get
48=48
but how can something launched at 64ft per second only be 48 feet up after 1 second? is my answer wrong or am i missing something in the physics of the problem?
i hope my notation is clear. any help you can give would be appreciated.
Click here to see answer by stanbon(75887) |
Question 262863: A subway train starts from rest at a station and accelerates at a rate of 1.66m/s^2 for 14.0s. It runs at constant speed for 70.9s and slows down at a rate of 3.50m/s^2 until it stops at the next station. Find the total distance covered.
I know that there are 3 parts to this problem and to do them separatly and add up the distance at the end. I figured out the first part of the journey, being from rest through acceleration, (if I'm correct) using the formula  , where v=initial velocity (o), a= acceleration (1.66m/s^2), and t= time (14.0s).
Click here to see answer by Alan3354(69443)  |
Question 262863: A subway train starts from rest at a station and accelerates at a rate of 1.66m/s^2 for 14.0s. It runs at constant speed for 70.9s and slows down at a rate of 3.50m/s^2 until it stops at the next station. Find the total distance covered.
I know that there are 3 parts to this problem and to do them separatly and add up the distance at the end. I figured out the first part of the journey, being from rest through acceleration, (if I'm correct) using the formula , where v=initial velocity (o), a= acceleration (1.66m/s^2), and t= time (14.0s).
Click here to see answer by palanisamy(496) |
Question 262869: Two truck drivers leave a warehouse traveling in opposite directions, one driving at 50 mph and one driving at 56 mph. If the slower driver has a 2-hour head start, how long has she been on the road when two drivers are 683 miles apart?
Click here to see answer by checkley77(12844) |
Question 262864: The stoplights ona street are designed to keep traffic moving at 26mi/h. The aerage length of a street block between traffic lights is about 80m. What must be the time delay between green lights on successive blocks to keep the traffic moving continuously? answer in units of seconds.
Click here to see answer by richwmiller(17219) |
Question 262864: The stoplights ona street are designed to keep traffic moving at 26mi/h. The aerage length of a street block between traffic lights is about 80m. What must be the time delay between green lights on successive blocks to keep the traffic moving continuously? answer in units of seconds.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 262956: John and Sue both leave the same city at the same time going in the same direction, both traveling north. John travels at 64 miles per hour and Sue travels 56 miles per hour. How long will it take for them to be 25 miles apart?
Click here to see answer by rfer(16322) |
Question 262995: A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs. What is the distance travelled
(a) 210 kms (b) 30 kms (c) 20 kms (d) none of these
Click here to see answer by palanisamy(496) |
Question 263009: 1.two cars are 500 miles apart and moving directly towards each other.One car is moving at a speed of 100 mph and the other is moving at 70 mph.Assuming that the cars start moving at the same time,how long does it take for the two cars to meet? Repeat the previous example except this time assume that the faster car will start 1 hour after slower car starts?
2.two boats start out 100 miles apart and start moving to the right at the same time.the boat on the left is moving at twice the speed as the boat on the righ.Five hours after starting,the boat on the left catches up with the boat on the right.How fast was each boat?
Click here to see answer by stanbon(75887) |
Question 263099: Three bike riders ride around a circular path. the first rider circles the path in 12 minutes, the second in 18, and the third in 24 minutes. if they all start at the same place at the same time, when will they all meet again at the starting point?
Click here to see answer by drk(1908) |
Question 263099: Three bike riders ride around a circular path. the first rider circles the path in 12 minutes, the second in 18, and the third in 24 minutes. if they all start at the same place at the same time, when will they all meet again at the starting point?
Click here to see answer by richwmiller(17219) |
Question 263100: Starting from rest, a boulder rolls down a hill with constant acceleration and travels 2.00m during the first second.
How far does it travel during the second second?
How fast is it moving at the end of the first second?
How fast is it moving at the end of the second second?
Click here to see answer by drk(1908) |
Question 263065: Find the x- and y-intercepts (if any) for each line. Show your work.
Plot those intercepts, and graph the two lines on the same chart. Submit your graph through the Dropbox.
Apply elimination or substitution to find the coordinates of the point of intersection (if there are no solutions or infinite solutions, state this). Show your work.
The 2 equations are:
x + 5y = 29
-7x + 4y = 70
Below is what I came up with but I just want to know if I did this correctly.
x + 5y = 29
y = 0 x + 5(0) = 29
x = 29
x = 0 0 + 5y = 29
5y = 29
y = 29/5
-7x + 4y = 70
y = 0 -7x + 4(0)= 70
-7x = 70
x = -10
x = 0 -7(0) + 4y = 70
4y = 70
y = 70/4 = 35/2
I will use the substitution system to point of intersection.
x = 29 - 5y
-7(29 - 5y) + 4y = 70
-203 + 35y + 4y = 70
39y = 273
y = 7
x + 5(7) = 29
x + 35 = 29
x = 29/35
Click here to see answer by dabanfield(803) |
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