Question 979692
t, target time
RT=D, basic uniform rate rule for travel
Ramu goes the same distance d, for both Is and If.


_________________rate___________time____________distance
IS_______________5______________t+3/60___________d
IF_______________6______________t-7/60___________d


{{{5(t+1/20)=6(t-7/60)}}}


{{{5t+1/4=6t-6(7/60)}}}


{{{5t+1/4=6t-7/10}}}


{{{20*5t+20/4=20*6t-20(7/10)}}}


{{{20(5t-6t)+20/4=-14}}}


{{{-20t+5=-14}}}


{{{20t-5=14}}}


{{{20t=19}}}


{{{highlight_green(highlight(t=19/20))}}}-------THIS IS STILL CORRECT------same as 57 minutes------Use this time to find d.


FINDING DISTANCE d:


At 5 k/h,
{{{5(57/60+3/60)=5(60/60)}}}
{{{highlight(d=5)}}}


At 6 k/h,
{{{6(57/60-7/60)}}}
{{{6(50/60)}}}
{{{(6/60)*50}}}
{{{(1/10)*50}}}
{{{highlight(d=5)}}}