Take home test math problem
Moderator: Dictators in Training
Take home test math problem
My intermediate algebra teacher gave us a take home test. The bonus question at the end of the test is really gay. He has said that no one in the 10 years he has worked there has turned in the correct answer. Now I come to none other than the NT to vanquish it! Ok here goes:
"Bob can run 35 miles in one hour less time than it takes bill to run 48 miles. Bob can run 50 miles in three hours more time than it takes bill to run 42 miles. Find bob's speed and bill's speed."
He requested I show my work.
Lets see if the NT can do it! haha (cause i certainly can't)
"Bob can run 35 miles in one hour less time than it takes bill to run 48 miles. Bob can run 50 miles in three hours more time than it takes bill to run 42 miles. Find bob's speed and bill's speed."
He requested I show my work.
Lets see if the NT can do it! haha (cause i certainly can't)
Maeya wrote:And then your head just aches from having your hair pulled so tight for so long...
Actually, unless I got my math wrong, Bob = 1/5mph and Bill= 1/6 mph.
Your school must not have a lot of good math people, as the problem is just a simple substitution. He verbally gives you 2 equations with 2 variables. Just solve 1 equation for 1 of the variables, and substitute it into the other equation.
Let x = Bob's speed in mph and let y = Bill's speed in mph.
Figure out the 2 equations from the sentance he gave you, solve the first one for x, and then plug that into the 2nd equation, and that'll give you a numeric value for y.
-Arlos
Your school must not have a lot of good math people, as the problem is just a simple substitution. He verbally gives you 2 equations with 2 variables. Just solve 1 equation for 1 of the variables, and substitute it into the other equation.
Let x = Bob's speed in mph and let y = Bill's speed in mph.
Figure out the 2 equations from the sentance he gave you, solve the first one for x, and then plug that into the 2nd equation, and that'll give you a numeric value for y.
-Arlos
bah fine, it's a simple substitution
the first equation, if t is the time
x = bob's speed
y = bill's speed
35m = x (t-1) this means bob does 35 miles in a given time - 1 hour at his speed
48 = yt Bill does 48 miles over the given period x his speed
if you isolate t in the second equation you get 48/y = t, and then substitute t in the first equation, you can completely eliminate t
35 = x(48/y-1) This is the first major equation
then the second part
50= x(t+3)
42 = yt
t=42/y
so substituting t into the previous equation
50=x(42/y+3) and here is the other major equation
here you have 2 equations with 2 variables, easily solvable
35 = x(48/y-1)
50=x(42/y+3)
isolate x in each 35/(48/y-1) = x = 50/(42/y+3)
35(42/y+3) = 50 (48/y-1)
1470/y + 105 = 2400/y -50 ____multiply by y
1470 + 105y = 2400 -50y
155y = 930
y=6
substitute y=6 into 50=x(42/y+3)
50 = x(42/6 +3)
50 = x(7 + 3)
50= 10x
x=5
the first equation, if t is the time
x = bob's speed
y = bill's speed
35m = x (t-1) this means bob does 35 miles in a given time - 1 hour at his speed
48 = yt Bill does 48 miles over the given period x his speed
if you isolate t in the second equation you get 48/y = t, and then substitute t in the first equation, you can completely eliminate t
35 = x(48/y-1) This is the first major equation
then the second part
50= x(t+3)
42 = yt
t=42/y
so substituting t into the previous equation
50=x(42/y+3) and here is the other major equation
here you have 2 equations with 2 variables, easily solvable
35 = x(48/y-1)
50=x(42/y+3)
isolate x in each 35/(48/y-1) = x = 50/(42/y+3)
35(42/y+3) = 50 (48/y-1)
1470/y + 105 = 2400/y -50 ____multiply by y
1470 + 105y = 2400 -50y
155y = 930
y=6
substitute y=6 into 50=x(42/y+3)
50 = x(42/6 +3)
50 = x(7 + 3)
50= 10x
x=5
Wow Snero thanks! im taking this in tomorrow,
and yes, its a community college. (the people are retarted as well as the teachers)
Thankfully I'll be at the university this fall. (im considered in state now woot!)
and yes, its a community college. (the people are retarted as well as the teachers)
Thankfully I'll be at the university this fall. (im considered in state now woot!)
Maeya wrote:And then your head just aches from having your hair pulled so tight for so long...
Hey man, over 50% of all college students go through CC before they hit university level and I can tell ya that my CC's professors were 9340239409x better than my university professors.
leah wrote:i am forever grateful to my gym teacher for drilling that skill into me during drivers' ed
leah wrote:isn't the only difference the length? i feel like it would take too long to smoke something that long, ha.
I didn't cheat at all. It's a takehome test. As in take the test home and use any fucking resources possible to get the correct answer. Atleast thats my definition.
I got my A and thats all that matters to me. In fact it was a 105 because of the work snero did =p
I got my A and thats all that matters to me. In fact it was a 105 because of the work snero did =p
Maeya wrote:And then your head just aches from having your hair pulled so tight for so long...
Naethyn wrote:I didn't cheat at all. It's a takehome test. As in take the test home and use any fucking resources possible to get the correct answer. Atleast thats my definition.
I got my A and thats all that matters to me. In fact it was a 105 because of the work snero did =p
you owe snerp some oral
For you


More power to you. If you successfully went to the board to explain it to the class, then you must learned something from the exercise. You also showed resourcefulness. Sure, it would have been better if you knew the answer before asking, but good for you for learning regardless of your means.
Congrats too on the 105!
Congrats too on the 105!









