Question

jake fillis atank that can hold 200 gallons of water.the tank already has 50 gallons of water in it when jake starts filling it at the rate of 10 gallons per minutes .Karla filils a tank that can hold 300 galloms of water.that tank already has 100 gallons in it when karla start filllin it at the rate of 5 galloms per minute. jake and karla start filling the tanks at the same time. how long after they strat filling the tanks do the tanks the same volume of water ?what is that volume of wtaer
A) 5min;150gal C)10min;150gal
B) 5min;250 D) 10min; 250gallons

Answer 1

First, I should say that the actual capacity of the tank is irrelevant. We'll note use t for our variable time in minutes.

Jake: Starts with 50 and fills up the tank at 10 gallons every minute. The total amount of water he puts in the tank is 50 + 10t, where t is the time.

Karla: Starts with 100 and fills up the tank at 5 gallons every minute. The total amount of water she puts in the tank is 100 + 5t, where t is the time.

We want to know where these total amounts are equal, so 50 + 10t = 100 + 5t. We solve for t --> 5t = 50 --> t = 10. The time is 10 minutes. We plug t into one of the equations 50 + 10(10) = 150 gallons. So at 10 minutes and 150 gallons do Jake and Karla have the same amount of water.