A tank holds 24 gallons of water. The water is leaking out at a rate of 2 gallons per hour. A different tank currently has 12 gallons of water and
water is added at a rate of 4 gallons per hour. After how many hours, x will
both tanks have the same amount of water?
Your answer

2 hours

Step-by-step explanation:

in two hours the first tak that started out with 24 gallons will decrease to 20 gallons, and the second tank that started out  with 12 gallons will increase to 20 in two hours also. So in two hours the tanks will be equal

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.