Two speakers, in phase with each other, both put out sound of frequency $430$ Hz$.$ A receiver is $3\mathrm{.}50$ m from one speaker and distance x from the other, where x $>3\mathrm{.}50$ m$.$ What is the smallest value of x such that the receiver detects maximum constructive interference? Take the speed of sound to be $343$ m$/$s$.$

Select answer from the options below

$3\mathrm{.}90$ m $$

$4\mathrm{.}30$ m $$

$7\mathrm{.}00$ m $$

$0\mathrm{.}80$ m $$

$0\mathrm{.}40$ m $$

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