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Question Number 128509 by benjo_mathlover last updated on 08/Jan/21

	Answered by liberty last updated on 08/Jan/21

	$(\Leftrightarrow) \frac{W}{y + x} = 6 days where \frac{W}{y} = 10 days$ $so we find \frac{W}{\frac{W}{10} + x} = 6 \Rightarrow W = \frac{6 W}{10} + 6 x$ $\Rightarrow x = \frac{4 W}{60} = \frac{W}{15}, it follows that Mrs x can$ $finish the job by herself in 15 days$
	Commented by mr W last updated on 08/Jan/21

	$i n r e a l i t y M r . Y c a n f i n i s h t h e j o b$ $b y h i m s e l f i n 10 d a y s a n d M r s . X c a n$ $f i n i s h t h e j o b i n 15 d a y s b y h e r s e l f .$ $b u t M r . Y a n d M r s . X t o g e t h e r c a n$ $f i n i s h i n, i t h i n k a t l e a s t 100 d a y s,$ $n e v e r i n 6 d a y s .$ $t h e t e a c h e r w h o p u t s t h i s q u e s t i o n i s$ $a g o o d m a t h e m a t i c i a n, b u t n o t$ $a k e e n o b s e r v e r o f h u m a n n a t u r e .$
	Commented by mr W last updated on 08/Jan/21

	$o r t h e l a d y i s n o t a t t r a c t i v e a n d t h e y$ $f i n i s h t h e j o b t o g e t h e r o n l y i n 4 d a y s .$
	Commented by MJS_new last updated on 08/Jan/21

	$yes indeed . . . similar to my old example with$ $the 3 construction workers A, B and C$ $a job c o u l d be finished by$ $A alone in 10 hours$ $B alone in 12 hours$ $C alone in 15 hours$ $how long will it take if they work together ?$ $answer : at least 1 week . A starts to work .$ $C says {he}^{'} d be back in a minute and leaves .$ $B starts to complain about A^{'} s work and$ $makes lots of good appointments . At this$ $moment C comes back with 6 beer cans . . .$
	Commented by liberty last updated on 08/Jan/21
	If we look at human nature, yes we have to go back to God, because it could be Mr. Y and Mrs. X finish it together within 2 days? Why not? There are miracles of God that work. I believe it.
	Commented by mr W last updated on 08/Jan/21

	${i t}^{'} s n o t s e r i o u s l y m e a n t b y m e a n d$ $b y m j s s i r . j u s t f o r f u n!$
	Commented by liberty last updated on 08/Jan/21

	$hahaha . never mind .$ $i believe you are both just kidding .$
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