Answer:
2
Step-by-step explanation:
The first pipe fills 1/8 of a pool in one hr.
The second pipe fills 1/4 of a pool in one hr.
(1/8+1/4)2= 3/4 done by the first two pipes in 2 hours.
Therefore the last pipe must do 1 1/4 of the filling in 2 hours, which is 5/8 per hour.
5/8x=1
x=8/5
It takes the third pipe 1 hour and 36 minutes to fill it by itself.
First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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