Respuesta :
Answer:
Therefore it has been draining 48 hours.
Step-by-step explanation:
Given that a water body is being drained it begins with 700 gallons of water.
Let after x hours the amount of water in the water body will 388 gallons.
The water body is draining 6.5 gallons each hour
It means
The amount of water that drain in 1 hour is 6.5 gallons.
The amount of water that drain in 2 hour is (6.5+6.5) gallons.
=(2×6.5)gallons.
The amount of water that drain in 3 hour is( 6.5+6.5+6.5) gallons.
=(3×6.5) gallons.
Therefore
The amount of water that drain = time ×6.5
The amount of water that drain in x hour is (x×6.5) gallons=6.5x gallons.
Therefore the remaining water
= initial amount of water- drainage water
=(700-6.5x)gallons
According to the problem,
700-6.5x= 388
⇒ -6.5x = 388-700
⇒ - 6.5x = - 312
[tex]\Rightarrow x=\frac{-312}{-6.5}[/tex]
⇒ x= 48
Therefore it has been draining 48 hours.
