Question 1127014
Adil's rate of working:
[ 1 job ] / [ 9 days ]
Babar's rate of working :
[ 1 job ] / [ 15 days ]
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Let {{{ y }}} = fraction of job that Adil completes
in {{{ x }}} days
{{{ 1/9 = y/x }}}
multiply both sides by {{{ 9x }}}
{{{ x = 9y }}}
{{{ y = (1/9)*x }}}
Adil completes {{{ (1/9)*x }}} of the job, so {{{ (8/9)*x }}}
of the job is left
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Barbar does {{{ (8/9)*x }}} of the job in 10 days, so
{{{ 1/15 = ((8/9)*x) / 10 }}}
Multiply both sides by {{{ 150 }}}
{{{ 10 = 15*(8/9)*x }}}
{{{ 90 = 120x }}}
{{{ x = 3/4 }}}
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Get a 2nd opinion if you can