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Expert's post 00:00

Question Stats: 96% (00:24) correct 3% (03:48) wrong based on 26 sessions
$$\frac{\frac{1}{r}}{\frac{1}{t}} =$$ $$\frac{3}{5}$$

 Quantity A Quantity B $$\frac{r}{t}$$ $$\frac{t}{r}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Carcass wrote:
$$\frac{\frac{1}{r}}{\frac{1}{t}} =$$ $$\frac{3}{5}$$

 Quantity A Quantity B $$\frac{r}{t}$$ $$\frac{t}{r}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

$$\frac{\frac{1}{r}}{\frac{1}{t}} =$$ $$\frac{3}{5}$$

or $${\frac{1}{r}} * {t} =$$ $$\frac{3}{5}$$

or $$\frac{t}{r} = \frac{3}{5}$$

or $$\frac{r}{t} = \frac{5}{3}$$

Therefore QTY A > QTY B
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Expert's post
Carcass wrote:
$$\frac{\frac{1}{r}}{\frac{1}{t}} =$$ $$\frac{3}{5}$$

 Quantity A Quantity B $$\frac{r}{t}$$ $$\frac{t}{r}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

Property of division of fractions: (a/b) ÷ (c/d) = (a/b) x (d/c)

Given: (1/r)/(1/t) = 3/5
This is the same as (1/r) ÷ (1/t) = 3/5

Now apply the above property to get: (1/r) x (t/1) = 3/5

Simplify to get: to get: t/r = 3/5

If t/r = 3/5, then r/t = 5/3

We get:
QUANTITY A: 5/3
QUANTITY B: 3/5

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Re: 1/r/1/t = 3/5   [#permalink] 07 Jun 2019, 11:41
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