SOLUTION: Every day, Jane and Bill both drive to a parking lot, and then take a subway to get to work. Jane drives 25 km at 60 km/h, and then takes a northbound subway that averages 35 km/h

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Question 1204324: Every day, Jane and Bill both drive to a parking lot, and then take a subway to get to work. Jane drives 25 km at 60 km/h, and then takes a northbound subway that averages 35 km/h for 18 km while Bill drives 40 km at 80 km/h and then takes a southbound subway that averages 24 km/h for 25 km. It takes each of them 15 minutes to change from car to subway, and they arrive at the same destination at 8:30 a.m. At what time does the earliest of them leave home?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Every day, Jane and Bill both drive to a parking lot, and then take a subway to get to work.
Jane drives 25km at 60%28+km%2Fh%29, and then takes a northbound subway that averages 35+%28km%2Fh%29 for 18km
while Bill drives 40km at 80%28+km%2Fh%29 and then takes a southbound subway that averages 24+%28km%2Fh%29 for 25km.
It takes each of them 15min to change from car to subway, and they arrive at the same destination at 8%3A30a.m.
At what time does the earliest of them leave home?


Janes time:
+t%5B1%5D+=+%2825%2F60%29h+
+t%5B1%5D+=+%285%2F12%29h+
takes a northbound subway that averages
+t%5B2%5D+=+%2818%2F35%29h+

Bill's time:
+t%5B1%5D+=+%2840%2F80%29h+
+t%5B1%5D+=+%281%2F2%29h+
takes a southbound subway that averages
+t%5B2%5D+=+%2825%2F24%29h+

Add 15min=+%2815%2F60%29h+=+%281%2F4%29h+ to each one's time

Jane's time:
+5%2F12+%2B+18%2F35+%2B+1%2F4+=+124%2F105=1.18=>1h10
8h30'
-
1h+10
---------------------------------
7h20

Bill's time:
1%2F2+%2B+25%2F24+%2B1%2F4+=+43%2F24=1.79h+=>1h+47’ to the nearest minute

8h30'
-
1h+47
---------------------------------
6h+42


Answers:
Jane =+7%3A20AM
Bill = 6%3A42AM