Question 475294
Let {{{ d[1] }}} = diameter of 1st track
Let {{{ d[2] }}} = diameter of 2nd track
Distance around 1st track = {{{ pi*d[1] }}}
Distance around 2nd track = {{{ pi*d[2] }}}
given:
(1) {{{ pi*d[1] = 3*pi*d[2] }}}
(2) {{{ pi*d[1] + pi*d[2] = pi*80 }}}
Substitute (1) into (2)
(2) {{{ 3*pi*d[2] + pi*d[2] = pi*80 }}}
(2) {{{ 4*d[2] = 80 }}}
(2) {{{ d[2] = 20 }}}
and
(1) {{{ pi*d[1] = 3*pi*d[2] }}}
(1) {{{ pi*d[1] = 60*pi }}}
(1) {{{ d[1] = 60 }}}
The distance around the larger track is {{{ 60*pi }}} yds