Problema Solution
The reeds are moving across country. Mr reed leaves 3.5 hours before Mrs reed. If he averages 40 mph and she averages 90 mph how long will it take Mrs reed to overtake Mr reed?
Answer provided by our tutors
let
t = the time of Mrs. Reed
t + 3.5 = the time of Mr. Reed
v1 = 40 mph the speed of Mr. Reed
v2 = 90 mph the speed of Mrs. Reed
the distance = speed*time and they both travel the same distance we have:
v1*(t + 3.5) = v2*t
40(t + 3.5) = 90t
by solving we find
t = 2.8 hr
t = 2 hr 0.8*60 min
t = 2 hr 48 min
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Mrs. Reed will overtake Mr. Reed in 2.8 hour or 2 hours and 48 minutes.