It will take 16hr 30min for Mrs. Smith to catch up.
Let,
t + 3 = Time of Mr. Smith
t = Time of Mrs. Smith
v1 = 55 mph the speed of Mr. Smith
v2 = 65 mph the speed of Mrs. Smith
Formula: Distance = speed × time
v1 ( t + 3) = v2t
55 ( t + 3 ) = 65t
65t = 55t + 165
65t - 55t = 165
10t = 165
t = 16.5 hr
t = 16 hr 0.5 × 60 min
t = 16 hr 30 min
Therefore, it will take 16hr 30min for Mrs. Smith to catch up.
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