Question 1028963
You can think of this as one of them standing still
and the other moving at the sum of their speeds
3:40 minus 3:00 is 40 min
Convert to hrs:
{{{ (40/60) = 2/3 }}} hrs
Let {{{ s }}} = the speed of the snail
{{{ 11s }}} = the speed of the turtle
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{{{ 360 = ( s + 11s )*(2/3) }}}
{{{ 1080 = 24s }}}
{{{ s = 45 }}}
and
{{{ 11s = 11*45 }}}
{{{ 11s = 495 }}}
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The speed of the snail is 45 m/hr
The speed of the turtle is 495 m/hr
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check answer:
Equation for the snail:
{{{ d[1] = 45*(2/3) }}}
{{{ d[1] = 30 }}}
Equation for the turtle:
{{{ d[2] = 495*(2/3) }}}
{{{ d[2] = 330 }}}
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{{{ d[1] + d[2] = 30 + 330 }}}
{{{  d[1] + d[2] = 360 }}} m
OK