SOLUTION: Tim rides by train to go home and arrives at the railway station every day at 18h00.His wife travels by car to pick him up at the station and arrives at the station at precisely 18

Algebra.Com
Question 1009831: Tim rides by train to go home and arrives at the railway station every day at 18h00.His wife travels by car to pick him up at the station and arrives at the station at precisely 18h00.One day To took am earlier train and arrived at the station at 17h00 and was not able to phone his wife
He then started walking home hoping to meet his wife while on her way to pick him upDhe did pick him up and they arrived home 20 minutes earlier than norm7al. Assuming the wife drives at 60km per hour,how far did Harry walk?

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Tim rides by train to go home and arrives at the railway station every day at 18h00.
His wife travels by car to pick him up at the station and arrives at the station at precisely 18h00.
One day To took am earlier train and arrived at the station at 17h00 and was not able to phone his wife
He then started walking home hoping to meet his wife while on her way to pick him up
She did pick him up and they arrived home 20 minutes earlier than normal. Assuming the wife drives at 60km per hour,how far did Harry walk?
:
Let w = distance walked
let d = one-way dist to the station
:
Change 20 min to 1/3 hr
Then
= normal time to make the return trip
and
= time required on the day he walked
:
- =
multiply thru by 60 to get rid of the denominators
d - (d-w) = 20
Remove brackets, changes the sign
d - d + w = 20
w = 20 km is the distance he walked

RELATED QUESTIONS

John travels by train to go home and arrives at the railway station every day at 17h00. (answered by mananth)
John travels by train to go home and arrives at the railway station every day at 17h00.... (answered by ankor@dixie-net.com)
John travels by train to go home and arrives at the railway station every day at 17h00.... (answered by mananth)
Each day a man meets his wife at the commuter train station after work, and then she... (answered by ankor@dixie-net.com,TheCotMan,richwmiller)
a commuter rides the train to and from work each day. Her husband meets her at the train... (answered by ankor@dixie-net.com)
Bev takes a train home at 4:00, arriving at the station at 6:00. Every day, driving at... (answered by ikleyn)
A man arrives at the railroad station nearest his country home an hour an 5 minutes.... (answered by richwmiller)
The train arrives at the station every 5 minutes starting at 10:00. The bus arrives at... (answered by Alan3354,Theo,ikleyn)
Hank travels home to Smithville every weekend from Ottawa.The distance each way is 800km. (answered by rajagopalan)