A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. !find the share of each.

Sol :C's 1 day's work = 1/3-(1/6+1/8)=24

A : B : C = Ratio of their 1 day's work = 1/6:1/8:1/24= 4 : 3 : 1.

A’s share = Rs. (600 *4/8) = Rs.300, B's share = Rs. (600 *3/8) = Rs. 225.

C's share = Rs. [600 - (300 + 225») = Rs. 75.

Question

A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. !find the share of each.

    

Sol :C's 1 day's work = 1/3-(1/6+1/8)=24

    A : B : C = Ratio of their 1 day's work = 1/6:1/8:1/24= 4 : 3 : 1.

   A’s share = Rs. (600 *4/8) = Rs.300, B's share = Rs. (600 *3/8) = Rs. 225.

  C's share = Rs. [600 - (300 + 225») = Rs. 75.

koikkara · Answer

How A’s share = Rs. (600 *4/8).... 4/8 came from ?

koikkara · Answer

@Compassionate  hope you can help me....my brain looks sleepy...lol

koikkara · Answer

@dan815  ...thanks for your valuable time... 

Focus only.... A’s share = Rs. (600 *4/8) = Rs.300, B's share = Rs. (600 *3/8) = Rs. 225.

  C's share = Rs. [600 - (300 + 225») = Rs. 75.

Where did 4/8 come from ?

dan815 · Answer

A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. !find the share of each.

dan815 · Answer

okay so A works are a rate of W/6
in 3 days he will have done half the total work
as 3*w/6= w/2

dan815 · Answer

in 3 days B would have done 
3*w/8

koikkara · Answer

Hmm, but i don't understand how they got $*4/8)$, in here...

dan815 · Answer

it should say 3/6 but something

koikkara · Answer

lol, i check google, everywhere they got same....lol,ccrazy : http://indiah.weebly.com/chapter-15-time-and-work.html

koikkara · Answer

Ex8

dan815 · Answer

just think about it like this its pretty simple once u understand

dan815 · Answer

in 6 days A finishes work so in 1 day A finishes 1/6th of the work

dan815 · Answer

in 8 days B finishes work so in 1 day B finishes 1/8th of the work

koikkara · Answer

Fine..

dan815 · Answer

so how much of the work did these 2 finish in 3 days with themself
thats 3*1/6 + 3*1/8 of the work
3/6 + 3/8 = 4/8+3/8=7/8 of the work was done by a and b
so c did 1/8th of the work in 3 days

koikkara · Answer

Hey, i don't understand the money part, rest goes good.

dan815 · Answer

now u split your 600 dollars up evenly between these ppl
A did half the work so 300 for him
B did 3/8 so 3/8*600
Cdid 1/8 sp 1/8 * 600

koikkara · Answer

thats good..

dan815 · Answer

okay so u got it now?

koikkara · Answer

that was great..but still need to know 4/8 as its a time saving method for faster calculations... Thanks @dan815 !! Let me post it in facebbok...they may do that... Thanks again...lol