Harry can complete \(\dfrac{1}{4}\) of a work in 5 days & Joe can complete \(\dfrac{1}{5}\) of the same work in 6 dyas. How long would both of them take to complete the work, if they work together ?
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OpenStudy (anonymous):
try this way of thinking:
H can run 1/4 per 5 days
so \[\frac{ 1 }{ 4 } \div5\]= how long he can run per day
OpenStudy (anonymous):
do you think this inspire you sth?
if not we'll keep discuss step by step
OpenStudy (jiteshmeghwal9):
sorry but I'm nt getting it :(
OpenStudy (jiteshmeghwal9):
@ranxu6j3
OpenStudy (anonymous):
that's ok
so Harry's speed would be 1/20 per day
and Joe 1/30 per day (1/5 div 6)
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OpenStudy (anonymous):
can you agree with this?
OpenStudy (jiteshmeghwal9):
yup !
OpenStudy (anonymous):
great
in this way, you can assume the whole work =1
then
when they work together
the speed becomes 1/20 +1/30 =1/12 per day
so they can finish 1/12 of the work per day
then can you think of it?
OpenStudy (jiteshmeghwal9):
But in how many days will they complete their work together ?
OpenStudy (anonymous):
they can finish 1/12 of the work per day
so, 1 div 1/12= 12 days
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OpenStudy (jiteshmeghwal9):
\[1 \div \dfrac{1}{12}=12\] ohh! i gt it thanx :)
OpenStudy (anonymous):
OH THAT'S GREAT
OpenStudy (jiteshmeghwal9):
Just a little slip from mind :P
OpenStudy (anonymous):
can you agree with this way of thinking?
it doesn't matter, people always slip from mind
OpenStudy (jiteshmeghwal9):
yes
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