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Author Topic: How high is the mountain?  (Read 2355 times)

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Offline Hung_Low

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How high is the mountain?
« on: November 28, 2014, 02:16:35 AM »
It takes Jack 1.5 miles an hour to go up a mountain while going down the same path, he makes 4.5 miles an hour. Now, if the whole trip up and down the mountain takes him 6 hours, without resting or stopping, how many miles is it to the top of the mountain?



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Offline VaajMoob

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Re: How high is the mountain?
« Reply #1 on: November 30, 2014, 09:09:45 AM »
1.5+4.5=..., wait let me use a caculator. okay = 6 miles. ;D



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Offline Hung_Low

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Re: How high is the mountain?
« Reply #2 on: December 03, 2014, 09:11:58 PM »
1.5+4.5=..., wait let me use a caculator. okay = 6 miles. ;D

Sorry... Not the correct answer. Try again



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Offline minorcharacter

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Re: How high is the mountain?
« Reply #3 on: December 04, 2014, 09:12:02 AM »
6.75 miles.  I wrote this down, took it home, worked it out, took a picture of my work, but this morning I forgot to bring my phone to work.  Essentially, it's basic math.

Assuming:
1.5 m/h up hill
4.5 m/h down hill
6hour total trip
So let x equal the time it takes to go up the mountain
and y equal the time it takes to go back down the mountain
x + y = 6 hours

Getting our equations and finding the distance:
1.5 m/h * x h = distance to the top of the mountain
4.5m/h * y h = distance down

Assuming Jack took the same path up and down
1.5 m/h * x h = 4.5 m/h y * h

Solve for x and y and plug in the variables:
y = 3/x
x = 3y
x + y = 6 hours or 3y + y = 6 hours
y = 4/6 hours or 1.5 hours

4.5 m/h * y hours = distance
4.5 m/h * 1.5 hours = 6.75 miles



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Petal_Rose

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Re: How high is the mountain?
« Reply #4 on: December 04, 2014, 09:13:34 AM »
Minorcharacter always have the right answer... That boy must be a mathematician.



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Offline Hung_Low

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Re: How high is the mountain?
« Reply #5 on: December 04, 2014, 09:26:45 PM »
6.75 miles.  I wrote this down, took it home, worked it out, took a picture of my work, but this morning I forgot to bring my phone to work.  Essentially, it's basic math.

Assuming:
1.5 m/h up hill
4.5 m/h down hill
6hour total trip
So let x equal the time it takes to go up the mountain
and y equal the time it takes to go back down the mountain
x + y = 6 hours

Getting our equations and finding the distance:
1.5 m/h * x h = distance to the top of the mountain
4.5m/h * y h = distance down

Assuming Jack took the same path up and down
1.5 m/h * x h = 4.5 m/h y * h

Solve for x and y and plug in the variables:
y = 3/x
x = 3y
x + y = 6 hours or 3y + y = 6 hours
y = 4/6 hours or 1.5 hours

4.5 m/h * y hours = distance
4.5 m/h * 1.5 hours = 6.75 miles


Correct!!! three unknown solved by three equations  :headbang: :hello2:



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Offline Visualmon

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Re: How high is the mountain?
« Reply #6 on: February 07, 2015, 07:26:41 PM »
The math problem is easy to do but the question remain illogic. I wanna know if it's a rocky mountain or mountain slope.  :D



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Offline Hung_Low

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Re: How high is the mountain?
« Reply #7 on: October 05, 2015, 08:35:07 PM »
The math problem is easy to do but the question remain illogic. I wanna know if it's a rocky mountain or mountain slope.  :D

It could be mount pubic if you want  ;)



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Offline Visualmon

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Re: How high is the mountain?
« Reply #8 on: November 17, 2015, 12:58:05 AM »
It could be mount pubic if you want  ;)

I bet there're couples of gina caves to explore.  ;D



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Offline Hung_Low

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Re: How high is the mountain?
« Reply #9 on: October 30, 2016, 04:33:14 PM »
I bet there're couples of gina caves to explore.  ;D

Only explore those that don't have a lot of bush nor fungi around the opening.



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Offline DeadbeatDAD

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Re: How high is the mountain?
« Reply #10 on: May 21, 2018, 03:13:58 AM »
Dude, i went and found this mountain and it took me well over 2 day to go up and down.. even measure the miles ans yeah, it was around 6.75 miles....lol



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