Suzie and Scott drive together for American freight. One day Suzie averaged 54 mph and Scott average 58mph, but Scott drove for 3 more hours than Suzie. If together they drove 734 miles, then for how many hours did Scott drive?

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Suzie and Scott drive together for American freight. One day Suzie averaged 54 mph and Scott average 58mph, but Scott drove for 3 more hours than Suzie. If together they drove 734 miles, then for how many hours did Scott drive?

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Answer 1 · 2015-09-17T13:40:37

#t_2=8h#

Explanation:

#v_1=54mph#
#v_2=58mph#
#Deltat=3h#
#t_2=t_1+Deltat => t_1=t2-Deltat#
#s=s_1+s_2=734m#
#t_2=?#

#s_1=v_1*t_1#
#s_2=v_2*t_2#
#s=v_1*t_1+v_2*t_2#
#s=v_1*(t_2-Deltat)+v_2*t_2#
#s=v_1*t_2-v_1*Deltat+v_2*t_2#
#s=t_2*(v_1+v_2)-v_1*Deltat#
#t_2*(v_1+v_2)=s+v_1*Deltat#

#t_2=(s+v_1*Deltat)/(v_1+v_2)#

#t_2=(734m+54mph*3h)/(54mph+58mph)=(734m+162m)/(112mph)=(896m)/(112mph)#

#t_2=8h#

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Suzie and Scott drive together for American freight. One day Suzie averaged 54 mph and Scott average 58mph, but Scott drove for 3 more hours than Suzie. If together they drove 734 miles, then for how many hours did Scott drive?

1 Answer

Explanation:

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