If the cost of water is $5 for 1,000 gallons (1 milliliter = 0.000264 gallon), how many hours will it take for the leak to cost Neil $40? The leak measures 75ml.

Question

danjs · Answer

what is the mass flow rate for the leak, or the velocity and pressure out the 75ml leak

danjs · Answer

oh, 75 ml.   is that pre some time,  to make it a rate

princessaurora · Answer

I meant to say that 75 ml is the volume of water collected in the beaker in the first hour from the leak.

princessaurora · Answer

It's the amount of water the leak made.

danjs · Answer

75 ml /hr leak

princessaurora · Answer

the volume increases by (1/12) of the volume of water that leaked during the first hour.

danjs · Answer

start with the given , just convert the units, start with 75 mL / hr

danjs · Answer

|dw:1447457302022:dw|

princessaurora · Answer

So $5/1hr?

danjs · Answer

that is just multiplying the leak 75 ml / 1 hr,   by ratios of 1,  to change units to dollar / hr

(75 * 0.000264 * 5) / 1000  [$/hr]

danjs · Answer

should be a smallll number, the leak is only 75 mL an hour, and water is cheap 5 bucks per 1000 gal

danjs · Answer

9.9 X 10^(-5)   dollars/  hr

danjs · Answer

how many hours till that reaches dollars...

danjs · Answer

40 dollars

princessaurora · Answer

I'm trying to calculate but my calculator isn't letting me.

princessaurora · Answer

I got .000099

princessaurora · Answer

For that equation you showed me.

danjs · Answer

yeah , so the 40 dollars divided by that is something like 

404040 hours,  less i did something wrong

danjs · Answer

that is like 46 years

princessaurora · Answer

I got that too

princessaurora · Answer

Thank you for your help. Appreciate it.

danjs · Answer

welcome