Question 621942
A, B, and C each drove 100 mile lengths of a 300 mile course at speeds of 40, 50 and 60 miles per hour respectively.
:
Find the total time (time = dist/speed)
t = {{{100/40}}} + {{{100/50}}} + {{{100/60}}}
t = {{{10/4}}} + {{{10/5}}} + {{{10/6}}}
t = {{{150/60}}} + {{{120/60}}} + {{{100/60}}}
t = {{{370/60}}}
total = {{{37/6}}} hrs
:
"What fraction of the total time did A drive?"
A time/total time. (Invert the dividing fraction and multiply)
{{{10/4}}} * {{{6/37}}}
t = {{{60/148}}}
t = {{{15/37}}} of the total time