SOLUTION: Mulder and Scully are driving to Georgia to investigate "Big Blue," a giant reptile reported in one of the local lakes. Mulder leaves the office at 8:30 a.m., averaging 65 mph. Scu

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Question 971568: Mulder and Scully are driving to Georgia to investigate "Big Blue," a giant reptile reported in one of the local lakes. Mulder leaves the office at 8:30 a.m., averaging 65 mph. Scully leaves at 9:00 a.m., following the same path and averaging 68 mph. At what time will Scully catch up with Mulder?
Please help me to solve and show the work. Thank you for your service.
Answer by amarjeeth123(569) About Me  (Show Source):
You can put this solution on YOUR website!
Mulder leaves office at 8:30 AM.
Mulder travels at 65 mph.
Scully leaves office at 9:00 AM.
Scully travels at 68 mph.
Distance covered by Mulder between 8:30 AM and 9:00 AM=Distance covered by Mulder in 0.5 hours=65/2=32.5 miles.
Let them meet after a time 't' hours.
We have
Distance=Speed*time
Distance covered by Mulder between 8:30 AM and 9:00 AM+Distance covered by Mulder=Distance covered by Scully
32.5+65t=68t
3t=32.5
t=32.5/3=10.8333 hours=10 hours 50 minutes
Scully will catch up with Mulder by 7:50 PM i.e. after 10 hours 50 minutes.