Hey guys!
Would like your views on OG11 PS 154.
An empty pool being filled with water at a constant rate takes 8 hours to fill 3/5 of it's capacity. How much more time will it take to finish filling the pool?
Now it is clear this is a rates and work questions, but why, in the rt = w equation, isn’t 8 used as the t variable (8 hrs should denote time). Whereas it is actually the amount of work done.
i.e. the correctly way to build the formula is 3/5 t = 8
Not sure why 8 is work?
OG11 PS 154 - Views appreciated!
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- Senior | Next Rank: 100 Posts
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So I think the reason they did that is so you could do the calculation in one step. I agree that the most logical way to construct the equation is:
3/5=(8)(r)
Solve for r which equals 3/40
Then plug into:
1=(t)(3/40) and thus total time to fill the pool is (40/3) which you would then subtract 8 from and get 16/3
3/5=(8)(r)
Solve for r which equals 3/40
Then plug into:
1=(t)(3/40) and thus total time to fill the pool is (40/3) which you would then subtract 8 from and get 16/3
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- Master | Next Rank: 500 Posts
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hey,
dont think in formulas... just try to go at it logically:
8 hours equals 60% of the total time.
Total time * 60 % = 8 hours
So,
Total time minus 8 hours = Answer
13.3333 - 8 = 5.3333
dont think in formulas... just try to go at it logically:
8 hours equals 60% of the total time.
Total time * 60 % = 8 hours
So,
Total time minus 8 hours = Answer
13.3333 - 8 = 5.3333