Question 230064
How far did the D Bros get in 1/4 hr?
{{{d = r*t}}}
{{{d = 24*(1/4)}}} km
{{{d = 6}}} km
So, they had a 6 km headstart. Now I start my
stopwatch. I'll stop it when posse catches them
For posse:
(1) {{{d[p] = 28t}}}
For D Bros:
(2) {{{d[p] - 6 = 24t}}}
Substitute (1) in (2)
{{{28t - 6 = 24t}}}
{{{4t - 6 = 0}}}
{{{4t = 6}}}
{{{t = 1.5}}} hrs
The posse overtakes them in 1.5 hrs
check answer:
(1) {{{d[p] = 28t}}}
{{{d[p] = 28*1.5}}}
{{{d[p] = 42}}} km
and
(2) {{{d[p] - 6 = 24t}}}
{{{d[p] - 6 = 24*1.5}}}
{{{d[p] = 36 + 6}}}
{{{d[p] = 42}}} km
OK