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Samzell
19.08.2019 •
Mathematics
2taps a and b can fill a swimming pool in 3 hours. if turned on alone, it takes tap a 5 hours less than tap b to fill the same pool. how many hours does it take tap a to fill the pool?
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Ответ:
Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.
Step-by-step explanation:
Let tap B fills the pool alone in the time = x hours
So in one hour part of pool will be filled =![\frac{1}{x}](/tpl/images/0179/5769/3230f.png)
Another tap A when turned on, it takes time to fill the pool = x-5 hours
So in one hour part of the same pool filled =![\frac{1}{x-5}](/tpl/images/0179/5769/318aa.png)
Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.
Part of the pool filled in one hour by both the taps =![\frac{1}{3}](/tpl/images/0179/5769/5506e.png)
Now we form an equation
Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on
3(x - 4) = x(x - 5)
x² -5x = 3x - 12
x² - 8x + 12 = 0
x² - 6x - 2x + 12 = 0
x(x - 6) - 2(x - 6) = 0
(x -2)(x - 6) = 0
x = 2, 6 hours
We will take higher value of x as x = 6 hours for tap B.
Time taken by tap A = 6 - 4 = 2 hours.
Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.
Ответ:
11:22 AM
Step-by-step explanation:
By means of a statement we can know that:
After an hour and 8 minutes, he stays 8 minutes behind
Which means that in 2 hours, it will take 16 minutes
If it is 10:30, it means that it is 6:30 hours later, that is to say 6.5.
therefore 6.5 x 8 = 52
Which means that at 10:30 the clock is 52 minutes late
So the correct time is 11:22 AM