Question 913990
What is the 1st car's head start?
{{{ d[1] = 60*(10/60) }}}
{{{ d[1] = 10 }}} mi
Start a stopwatch when the 2nd car reaches ramp
Let {{{ t }}} = time in hrs for 2nd car to catch 1st car
Let {{{ d }}} = distance the 2nd car travels until
it catches 1st car
------------------------
Equation for 1st car:
(1) {{{ d - 10 = 60t }}}
Equation for 2nd car:
(2) {{{ d = 65t }}}
----------------
Substitute (2) into (1)
(1) {{{ 65t - 10 = 60t }}}
(1) {{{ 5t = 10 }}}
(1) {{{ t = 2 }}}
3 PM plus {{{ 2 }}} hrs = 5 PM the
2nd car catches 1st car
----------------------
check:
(2) {{{ d = 65*2 }}}
(2) {{{ d = 130 }}}
and
(1) {{{ d - 10 = 60*2 }}}
(1) {{{ d = 120 + 10 }}}
(1) {{{ d = 130 }}}