Question

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?

Answer 1

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

Explanation:

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]