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At the rate of y yards per m minutes, how many yards does a swimmer tr

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At the rate of y yards per m minutes, how many yards does a swimmer tr  [#permalink]

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New post 27 Aug 2018, 10:04
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At the rate of y yards per m minutes, how many yards does a swimmer travel in x hours?

A. \(\frac{y}{mx}\)

B. \(\frac{yx}{m}\)

C. \(\frac{60y}{mx}\)

D. \(\frac{60ym}{x}\)

E. \(\frac{60xy}{m}\)

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Re: At the rate of y yards per m minutes, how many yards does a swimmer tr  [#permalink]

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New post 27 Aug 2018, 10:17
for m minutes - y yards
for 1 min - y/m yards
for 60 mins (1 hr) - 60y/m yards
for x hours - 60xy/m yards . E
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Re: At the rate of y yards per m minutes, how many yards does a swimmer tr  [#permalink]

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New post 27 Aug 2018, 11:28
carcass wrote:
At the rate of y yards per m minutes, how many yards does a swimmer travel in x hours?

A. \(\frac{y}{mx}\)

B. \(\frac{yx}{m}\)

C. \(\frac{60y}{mx}\)

D. \(\frac{60ym}{x}\)

E. \(\frac{60xy}{m}\)



Convert the hour to mins:

x hours = 60x mins.

In m min swimmer travel y yards

In 1 min swimmer travels \(\frac{y}{m}\) yards.

In 60x mins swimmer travels \(\frac{60xy}{m}\) yards.

The best answer is E.
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Re: At the rate of y yards per m minutes, how many yards does a swimmer tr  [#permalink]

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New post 27 Aug 2018, 12:13
carcass wrote:
At the rate of y yards per m minutes, how many yards does a swimmer travel in x hours?

A. \(\frac{y}{mx}\)

B. \(\frac{yx}{m}\)

C. \(\frac{60y}{mx}\)

D. \(\frac{60ym}{x}\)

E. \(\frac{60xy}{m}\)


Perfect situation for the UNITS CONTROL technique:

\(?\,\,\,\, = \,\,\,\,x\,\,{\text{h}}\,\,\,\left( {\frac{{60\,\,\min }}{{1\,\,{\text{h}}}}\,\,\begin{array}{*{20}{c}}
\nearrow \\
\nearrow
\end{array}} \right)\,\,\left( {\frac{{y\,\,\,{\text{yards}}}}{{m\,\,\,\min }}\,\,\begin{array}{*{20}{c}}
\nearrow \\
\nearrow
\end{array}} \right)\,\,\,\, = \,\,\,\frac{{60xy}}{m}\,\,\,\,\,\,\left[ {{\text{yards}}} \right]\)

Arrows indicate licit converters.

The above follows the notations and rationale taught in the GMATH method.
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Re: At the rate of y yards per m minutes, how many yards does a swimmer tr   [#permalink] 27 Aug 2018, 12:13
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