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

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) (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.

RELATED QUESTIONS
agents mulder and scully are driving to georgia to investigate "big blue", a giant... (answered by Paul)

mulder and scully are driving to Georgia to investigate "big blue" a giant reptile... (answered by ankor@dixie-net.com)

mulder and scully are driving to the same town. mulder leaves the office at 8:30 am... (answered by lwsshak3)

Mulder leaves Washington at 8:30 a.m. and averages 65 mph. His partner, Scully, leaves... (answered by rajagopalan)

Mulder leaves the office at 8:30am averaging 65mph. Scully leaves at 9:00am following the (answered by MathTherapy)

An elf in Santa�s Workshop can typically build two giant robot toys a week. If the elf... (answered by stanbon)

PLEASE HELP SOLVE. MULDER LEAVES WASHINGTON AT 8:30AM AND AVERAGES 65MPH. HIS PARTNER, (answered by stanbon)

Acid rain from the burning of fossil fuels has caused many of the lakes around the world... (answered by Theo)

The local high school football team, the Falcons, has a contest where seven letters F, A, (answered by stanbon)