Question 343783
Rate*Time=Distance
{{{R*t=D}}}
During the 3 hours, Train 1 has traveled 225 km.
The distance from the station for train 1 is,
{{{D[1]=75*t+225}}}
Convert the second speed from mph to kph for consistent units.
100 mph=160.9 kph
The distance from the station for train 2 is,
{{{D[2]=160.9t}}}
Find {{{t}}} when {{{D[1]=D[2]}}}
{{{75t+225=160.9t}}}
{{{85.9t=225}}}
{{{highlight(t=2.62)}}} hrs
.
.
.
At that point they are both at a distance of,
{{{D=160.9(2.62)}}}
{{{highlight(D=421.4)}}} km from the station.