Help with Algebra word problem, please……..?
1) A train leaves Perryville at 6:00 am and travels east at a rate of 64 mph. As it reaches its destination, Granite City, a westbound train departs from Granite City for Perryville, traveling at a rate of 48 mph. How far is it from Perryville to Granite City by train if the westbound train gets to Perryville at 9:30 am.
2) Write absolute value equations and solve.
Mary lives in a 30-story high rise. Six less than twice her distance above the ground (in stories) is twelve. On what floor does she live?
3) From the model for the 400 m dash, what was predicted for the 2000 Olympics? Compare the prediction with the actual value.
4) Mary Auburn makes three investments. The investment that pays 12% is twice the amount of the account that pays 9%. The amount invested at 10% is $500 more than the amount invested at 9%. If the annual interest income is $1555, how much money is invested at each rate?
Thank you so much.
Favorite Answer
East Bound goes 64 mph for X miles so in hours the time taken is
(x miles) / (64 miles / hour)
we know to put the 64 underneath because after the miles cancel, we get ( x / 64 ) hours
West Bound math becomes ( x / 48 ) hours
6 am to 9.30 am is 3 1/2 hours so now we know
(7 / 2) = (x / 64) + ( x / 48) and we are solving for x
well first thing I want to know is what number both
64 (8 x 8) and 48 (8 x 6) have common factorial with… let’s try 8 x 8 x 6 so
we get (7 / 2) = (6x/64*6) + (8x/48+8)
6+8 = 14 which is divisible by 2
(14x/8*8*6) = 7x/8*8*3)
we can divide the whole thing by 7
(1/2) = (x/8*8*3)
We can rearrange the #s
(8*8*3/2) = x
8*4*3 = 96
so let’s check that
6 am going 64 mph east bound takes 96/64
that’s 8*4*3 / 8*4*2 or 3/2 hour or 1.5 so 7.30 am
7.30 am going 48 mph west bound takes 96/48
that’s 8*12 / 8*6 so 2 hours becomes 9.30 am
I am not going to solve them all
You have to learn how to translate word problems into algebraic equivalents, and how to solve those algebraiic equivalents … I know it is hard … that’s why algebra takes a whole year of schooling.
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