Question 1125135

Two men are racing. 

{{{J}}} runs a {{{40}}} yard dash in {{{4.39}}} sec . -> {{{speed s=40yd/4.39s}}} -> speed {{{s=9.112(yd/s)}}}

{{{E }}}runs a {{{40 }}}yard dash in {{{6.18}}} sec.  -> speed {{{s=40yd/6.18s}}}-> speed {{{s=6.473(yd/s)}}}

If {{{E}}} is given a {{{10}}} yard head start, at what point are the two men tied? (I guess this means when they will meet) 

{{{d=s*t}}}

{{{J}}} runs {{{d=9.112(yd/s)*t}}}

{{{E}}} runs {{{d=10yd+6.473(yd/s)*t}}}


when they meet distance will be same, so we have:


{{{9.112(yd/s)*t=10yd+6.473(yd/s)*t}}}

{{{9.112(yd/s)*t-6.473(yd/s)*t=10yd}}}

{{{(9.112(yd/s)-6.473(yd/s))t=10yd}}}

{{{2.639(yd/s)t=10yd}}}

{{{t=10yd/2.639(yd/s)}}}

{{{t=10/2.639(1/s)}}}

{{{t=10s/2.639}}}

{{{t=3.78931413414172s}}}

{{{t=3.79s}}}


 the two men tied: in {{{3.79s}}}