Tutors Answer Your Questions about Travel Word Problems (FREE)
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(30993)   |
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(12569) |
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(9135)  |
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(15647)  |
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(12657) |
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(57290) |
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(9135) |
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) |
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 oberobic(2304) |
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 checkley77(12569) |
Question 263150: If one walks 500 feet at 4 miles per hour walking to his/her destination and walks back 500 feet at 3 miles per hour... What is the average speed for the entire trip? How do you calculate it?
Click here to see answer by drk(1908) |
Question 263249: i cant figure out how to correctly form an equation for this:
a cyclist leaves his training base for a morning workout riding at a rate of 18mph. one hour later, is support staff leaves the base in a car going 45mph in the same direction. how long will it take the support staff o catch up with the cyclist?
thanks for your help
Click here to see answer by nerdybill(6958)  |
Question 263249: i cant figure out how to correctly form an equation for this:
a cyclist leaves his training base for a morning workout riding at a rate of 18mph. one hour later, is support staff leaves the base in a car going 45mph in the same direction. how long will it take the support staff o catch up with the cyclist?
thanks for your help
Click here to see answer by stanbon(57290) |
Question 263338: A runner is training by sprinting up a long hill then slowly jogging down. He runs uphill at 240 meters per minute and comes back down at 160 meters per minute. If one circuit up and back takes 30 minutes, how long is the hill?
Click here to see answer by richwmiller(9135) |
Question 263216: Bronwyn walks one lap of an oval at 2.5km/h and then jogs another 8 laps of the oval at 5km/h. If it takes her 30 minutes in total, how long in metres is each lap?
I am guessing that to work the answer out, simultaneous equations will need to be found.
In which case, I have figured that one of the simultaneous equations might be something like
5(8x) + 2.5(y) = 30 or something similiar, in which x stands for the distance covered when jogging, then multiplied by 8, the number of laps jogged, and then by 5, the speed at which it was jogged. And likewise for 2.5 and y.
Click here to see answer by ankor@dixie-net.com(15647) |
Question 263345: On the first part of a trip Bob averaged 60mph but on the second part of the trip, which was 50 miles more than the first part, he averaged 40mph. What was the total distance for the trip if the entire trip took 8 hours?
Click here to see answer by richwmiller(9135) |
Question 263366: two boats leave a port at the same time,one traveling north and the other traveling south.the northbound boat travels at 12 miles per hour faster then the southbound boat.if the southbound boat is traveling at 25 mph,how long before they are 155 miles apart?
Click here to see answer by richwmiller(9135) |
Question 263413: Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to make a speech to his troups, he must ride 5 miles per hour for the whole trip to get to the battlefield on time. How far is it to the battlefield?
Click here to see answer by drk(1908) |
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