Mika can eat 21 hot dogs in 6 minutes. To find the duration to eat 35 hot dogs we need to find how many hot dog she can eat in one minute.
Thus the time taken to eat the 35 hot dog is [tex]10\:\rm min[/tex].
Given:
21 hot dogs can eat in 6 min.
Let [tex]x[/tex] hot dogs she can eat in 1 min.
Time taken to eat 35 hot dog.
[tex]\rm{Time} =\frac{35}{x}[/tex]
Find how many hot dog she can eat in a minute.
[tex]x=\frac{2}{6} \\x=\frac{7}{2} \\x=3.5 \: \rm {\:hot\: dogs\: per \:minute}[/tex]
Substitute the value of [tex]x[/tex] in above equation.
[tex]y=\frac{35}{3.5}\\y=10 \:\rm min[/tex]
Thus the time take to eat the 35 hot dog is [tex]10\:\rm min[/tex].
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