Answer:
120 seconds
Step-by-step explanation:
To solve this question you have to make equation of both gallon.
Gallon 1 have 130 gallons of water at the start and filled by 1/4 gallon each second. If x equal to the time in seconds, the equation of gallon 1 volume will be:
g1= 130+ 1/4x
Gallon 1 have 200 gallons of water at the start and drained by 1/ 3 gallon each second, the equation of gallon 2 volume :
g2= 200- 1/3x
When gallon 1 volume equal to gallon 2, it mean g1=g2
g1= g2
130+ 1/4x = 200- 1/3x
130- 200= -1/3x -1/4x
-70= - 4/12x - 3/12x
-7/12x= -70
7/12x= 70
x= 70*12/7
x= 120
Answer:
Step-by-step explanation:
Let the 4 greatest numbers be, A, B, C D
(A + B + C + D)/4 = 8
Total sum = 4 × 8
= 32
Let the 4 lowest numbers be, D, E F G,
(D + E + F + G)/4 = 20
Total number = 4 × 20
= 80
Hence, the difference between the sums of the 3 greatest number and the 3 smallest numbers:
A, B, C and E, F, G
= D + (E + F + G) - (A + B + C) - D
= (E + F + G) - (A + B + C)
= 80 - 32
= 48.
Let's clear out the fraction(s):
Mult. all 3 terms by 3, obtaining 18 = 3x + 2. Simplifying, 16 = 3x.
Then x = 16/3 (answer).
Check: does (16/3) + (2/3) = 6? Yes, since 18/3 = 6.
I can't explain it but if you need me to explain it I can but here is my work.