Question

Mulder and Scully are driving to the same town. Mulder leaves the office at 9​:30a.m. averaging 57mph. Scully leaves at 10​:00​a.m., following the same path and averaging 60 mph. At what time will Scully catch up with​ Mulder?

Answer 1

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9​:30a.m. averaging 57mph.

Scully leaves at 10​:00​a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

$\frac{57}{2}= 28.5$ miles

Let t is the time taken by Scully to catch up with​ Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

$28.5+57t=60t$

$28.5=60t-57t$

$28.5=3t\\t=9.5$

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.