- #1

RichardT

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## Homework Statement

John had 5 dogs pulling his sled at full speed for 24 hours. 2 dogs than escaped. however, the journey continued at 3/5 the original velocity and reached his destination 48 hours later. if the two dogs did not escape for an additional 50km he would have reached 24 hours late instead. What is the distance he covered??

Please explain...

## The Attempt at a Solution

Well so far here's what i got:

I think i can assume(not sure) that with 5 dogs he traveled 50km in 24 hours according to the last bit of information.

So than that means in the previous 24 hours he would have went 50km with 3 dogs - this is what i don't understand, how can 5 dogs travel 50km in 24 hours while 3 dogs travel 50km in 24 hours as well??

And therefore in the first 24 hours the dogs traveled (50/3) x 5 = 83.333km

and for my total I get 50 + 83.333 = 133.33

Please explain to me the part where 3 dogs travel the same distance in the same time as 5 dogs...

Thanks!

The possible answers are 100, 133, 167, 200, or 267 (all kilometers)

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