rayne61213
rayne61213 rayne61213
  • 16-01-2015
  • Mathematics
contestada

A bird flies 61/2 mi in 20 min.

How long will it take the bird to fly 81/8 mi at the same speed?

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diene
diene diene
  • 19-01-2015

[tex] \frac{61/2}{20} = \frac{x}{81/8}[/tex]
multiply the 2nd fraction by 8/8 to get rid of the 8 in the denominator:
[tex]\frac{61/2}{20} = \frac{8x}{81}[/tex]
simplify the 1st fraction by multiplying by 2/2:
[tex]\frac{61}{40} = \frac{8x}{81}[/tex]
now, you can cross-multiply: 
[tex]61*81=40*8x[/tex]
[tex]4941=320x[/tex]
[tex]x=\frac{4941}{320}[/tex] or [tex]15 \frac{141}{320}[/tex]

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