ayush98 wrote:

If water is leaking from a certain tank at a constant rate of 1,200 milliliters per hour, how many seconds does it take for 1 milliliter of water to leak from the tank?

A. \(\frac{1}{3}\)

B. \(\frac{1}{2}\)

C. 2

D. 3

E. 20

How many seconds does it take for 1 milliliter of water to leak from the tank?

1 hour = 3,600 seconds

Rate conversion (see below for all the conversion ratios):

\(\frac{1,200mL}{1hr}=\frac{1,200mL}{3,600secs}=\frac{1mL}{3secs}\)

One mL of water takes 3 seconds to leak from the tank

Answer D

ConversionThis conversion problem is not hard. Others will be. One way to tackle conversion problems takes very little time to learn and saves a lot of headaches when complex conversions are involved.

One hour = 3,600 seconds?

Convert with an equation set up so that units cancel (treat units to be canceled as if they were numbers in a long set of multiplied ratios - see reference material cited below)

\(\frac{1,200mL}{1hr}*\frac{1hr}{60mins}*\frac{1min}{60secs}=\frac{1,200mL}{3,600secs}\)Cross off units that show up

opposite one another (numerator/denominator and vice versa).

In this case, hours and minutes cancel and we are left with units we need, namely, milliliters per second.

(To get the answer to this question, we just simplify the result of the conversion equation above: \(\frac{1,200mL}{3,600secs}=\frac{1mL}{3secs}\))

For more on how to convert and cancel units, see Setting up conversion problems, here

And

Really good examples of the method, here
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