Commuters

Co-workers Wally, Jocelyn and Cy all leave home at the same time and arrive at work at the same time. Cy cycles to work three times faster than Jocelyn jogs to work, and Jocelyn jogs three times faster than Wally walks. If Jocelyn lives 12 miles closer to work than Cy how long are all their journeys?

For a bonus point. How far away from work does Carl live?

@wolfgang59 said
Co-workers Wally, Jocelyn and Cy all leave home at the same time and arrive at work at the same time. Cy cycles to work three times faster than Jocelyn jogs to work, and Jocelyn jogs three times faster than Wally walks. If Jocelyn lives 12 miles closer to work than Cy how long are all their journeys?

For a bonus point. How far away from work does Carl live?

Cy = 18 miles
Jocelyn = 6 miles
Wally = 2 miles

Bonus: Since Wally walks, Jocelyn jogs, and Cy, Cycles. I suspect Carl Cars, and at 3 times the rate Cy cylcles

Carl = 54 miles

@joe-shmo

Ah...but....to walk 2 miles would take around half an hour

So Carl is clearly breaking the speed limit, driving at around 100mph!!

@blood-on-the-tracks said
@joe-shmo

Ah...but....to walk 2 miles would take around half an hour

So Carl is clearly breaking the speed limit, driving at around 100mph!!

Thats going to be a nasty citation!

@blood-on-the-tracks said
@joe-shmo

Ah...but....to walk 2 miles would take around half an hour

So Carl is clearly breaking the speed limit, driving at around 100mph!!

I didn't tell you about Wally's gammy leg did I?

@wolfgang59 said
I didn't tell you about Wally's gammy leg did I?

Some clever back and forth here.

@wolfgang59 said
I didn't tell you about Wally's gammy leg did I?

I guess we could then explore how slowly the other 2 jog and cycle!

And why is poor old Walt walking 4 miles a day to/from work with such a disability??

Surely he would be on one of those mobility scooter things?

@blood-on-the-tracks said
And why is poor old Walt walking 4 miles a day to/from work with such a disability??

This is in the USA.
He's in a huge amount of debt from the operation.

For the record
Wally walks at 2mph
Jocelyn jogs at 6mph
Cy cycles at 18mph
Carl drives at 54mph

I didn't tell you about Travis did I?

@wolfgang59

Whiney Scottish 'pop' group?

@blood-on-the-tracks said
@wolfgang59

Whiney Scottish 'pop' group?

No!
Travis who travelled by train!
At 162mph until the crash and then there was ...


blood on the tracks.

@wolfgang59 said
For the record
Wally walks at 2mph
Jocelyn jogs at 6mph
Cy cycles at 18mph
Carl drives at 54mph

I didn't tell you about Travis did I?

Trying to be a bother, but the rates at which they walk are indeterminate as far as I can see?

Put everything in terms of Wally's walking rate "w"

wt = d_w

3wt = d_j

9wt = d_c

d_c - 12 = d_j

3* 3wt = 3*( d_c - 12 )

d_c = 3* ( d_c -12 )

d_c = 18

We are left with a single equation in 2 variables:

9wt = 18 <=> wt = 2
3wt = 6 <=> wt = 2
wt = 2

What gives? I suppose they told you personally how fast they traveled...

@joe-shmo said
Trying to be a bother, but the rates at which they walk are indeterminate as far as I can see?

Correct.
Just a bit of banter.
I think the ratios are feasible and Carl doesn't have to get a speeding ticket!

@wolfgang59 said
Correct.
Just a bit of banter.
I think the ratios are feasible and Carl doesn't have to get a speeding ticket!

Sorry! I get confused easily at what is play and what is actual solutions...

Incidentally: Blood on The Tracks! HA. good one!