Question 520875
{{{10}}} cm is {{{100}}} mm
Let {{{t}}} = time in minutes for snails to get {{{100}}} mm apart
For fast snail:
(1) {{{ d[1] = 15t }}}
For slow snail:
(2) {{{ d[2] = 10t }}}
and
(3) {{{ d[1] - d[2] = 100 }}}
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There are 3 equations and 3 unknowns
so, it's solvable
Subtract (2) from (1)
(1) {{{ d[1] = 15t }}}
(2) {{{ -d[2] = -10t }}}
{{{ d[1] - d[2] = 5t }}}
Substituting:
{{{ 100 = 5t }}}
{{{ t = 20 }}}
It will take 20 min for them to be 10 cm apart