Rasputin ran part of the way at 8 mph and walked the rest of the way at 3 mph. If the total trip was 41 miles and the total time was 7 hours, how far did he run and how far did he walk?

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Answer 1 · 2018-03-09T12:25:18

Rasputin ran $32$ miles and walked $9$ miles.

Let Rasputin ran $x$ miles at $8$ mph and walked $41-x$ miles

at $3$ mph . He took total $7$ hours to complete.

Time taken on running is $x/8$ hours and time taken on walking

is $(41-x)/3$ hours . $:. x/8+(41 -x)/3=7$ . Multiplying by $24$

on both sides we get , $3x+8(41-x)=7*24$ or

$3x+328-8x=168 or -5x= 168-328 or 5x=160$

$:. x=160/5=32$ miles and $41-x=41-32=9$ miles.

Rasputin ran $32$ miles and walked $9$ miles. [Ans]