anonymous
  • anonymous
working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.
Mathematics
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SOLVED
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katieb
  • katieb
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hartnn
  • hartnn
if a person can do work in x hrs, and another can do it in y hours then they both can do it together in \(\dfrac{1}{1/x+1/y}\) hours.. which is 4.95 here.....
hartnn
  • hartnn
wanna know how to get that ?
hartnn
  • hartnn
daniel can do the work in 9 hours, so in unit time, (1 hour) how much of total work can he do ?

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More answers

anonymous
  • anonymous
u can use this : 1/t1+1/t2+1/t3+...=time work together :) Now we have 4/95 = work together and 1/9 = 1/t1 OK ?
hartnn
  • hartnn
how u got 4 ?
anonymous
  • anonymous
@Missy94
hartnn
  • hartnn
what you can do is , plug in x= 9, and find y in (1/x+ 1/y) = 1=4.95
hartnn
  • hartnn
***(1/x+ 1/y) = 1/4.95
anonymous
  • anonymous
amm.. I had another mean:)
anonymous
  • anonymous
@Missy94 :Do u need help ?
hartnn
  • hartnn
daniel can do the work in 9 hours, so in unit time, (1 hour) how much of total work can he do ?
anonymous
  • anonymous
an hour?
hartnn
  • hartnn
yeah, in one hour he will do 1/9 th of the work, right ?
anonymous
  • anonymous
ya
hartnn
  • hartnn
let pauld do the work in x hours, so by same logic how much of work will he do in one hour ?
anonymous
  • anonymous
1/9?
hartnn
  • hartnn
its 1/x total work in x hours, so unit work in 1/x hours together they will do 1/9 +1/x of the work in one hour
hartnn
  • hartnn
but in one hour 1/4.95 of the work is done so, 1/9+1/x = 1/4.95 you just need to solve this for x
anonymous
  • anonymous
11 hours?
hartnn
  • hartnn
i got 11 too :)
hartnn
  • hartnn
correct.

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