Question

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.

Answer 1

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.....

Answer 2

wanna know how to get that ?

Answer 3

daniel can do the work in 9 hours, so in unit time, (1 hour) how much of total work can he do ?

Answer 4

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 ?

Answer 5

how u got 4 ?

Answer 6

@Missy94

Answer 7

what you can do is , plug in x= 9, and find y
in
(1/x+ 1/y) = 1=4.95

Answer 8

***(1/x+ 1/y) = 1/4.95

Answer 9

amm..
I had another mean:)

Answer 10

@Missy94 :Do u need help ?

Answer 11

daniel can do the work in 9 hours, so in unit time, (1 hour) how much of total work can he do ?

Answer 12

an hour?

Answer 13

yeah, in one hour he will do 1/9 th of the work, right ?

Answer 14

ya

Answer 15

let pauld do the work in x hours, so by same logic
how much of work will he do in one hour ?

Answer 16

1/9?

Answer 17

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

Answer 18

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

Answer 19

11 hours?

Answer 20

i got 11 too :)

Answer 21

correct.