Problema Solution
the smiths are moving across the country. Mr smith leaves 3.5 hours before mrs smith. if he averages 40 mph and she averages 65 mph how long will it take mrs smith to overtake mr smith
Answer provided by our tutors
Let
t + 3.5 = the time of Mr. Smith
t = the time of Mrs. Smith
v1 = 40 mph the speed of Mr. Smith
v2 = 65 mph the speed of Mrs. Smith
Since distance = speed*time we have:
v1(t + 3.5) = v2t
40(t + 3.5) = 65t
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click here to see the equation solved for t
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t = 5.6 hr
t = 5 hr 0.6*60 min
t = 5 hr 36 min
Mrs. Smith will overtake Mr. Smith is 5 hours and 36 minutes.