Question 1124783
Ram’s rate of painting:
[ 1 room ] / [ 15 hrs ]
Let Shyam’s rate =
[ 1 room ] / [ t hrs ]
Their rate working together:
[ 1 room ] / [ 6 hrs ]
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Add their rates working alone
to get their rate working together
{{{ 1/15 + 1/t = 1/6 }}}
Multiply both sides by {{{ 30t }}}
{{{ 2t + 30 = 5t }}}
{{{ 3t = 30 }}}
{{{ t = 10 }}}
Working alone, Shyam takes 10 hrs
————————-
Check:
{{{ 1/15 + 1/10 = 1/6 }}}
{{{ .06667 + .1 = .16667 }}}
OK