C=1/4-A-B??

Hence: the amount of work C does in one day is given by:

C=1/4-(1/16)-(1/12) = 5/48

Thus we see that 'C' does 5/48'ths of the work per day -- So how long will take them to complete the entire job

 

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
A=16
B=12
C=48/5=9.6
TOTAL=4

 

IOW: How many 5/48'ths of a job fit into 1 entire job?

 

Thus we see that 'C' does 5/48'ths of the workper day-- So how long will take them to complete the entire job

NOT GETTING

 

NOT GETTING

See post #783

 

OK GOT IT 1/5/48

 

OK GOT IT 1/5/48

Incorrect -- take a deep breath and rethink

 

In Other Words

 

Incorrect -- take a deep breath and rethink

let total work be in 1 day.
so, 1/ (5/48)=48/5

 

1/5/48 =1+5/48 NOT 1/(5/48)

 

let total work be in 1 day.
so, 1/ (5/48)=48/5

Good! -- Now write that as a proper fraction

 

@RRITESH KAKKAR

Problems?

 

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

a=1/20
b=1/30
c=1/60

 

@RRITESH KAKKAR

You haven't finished the last problem yet! Please write 48/5 as a proper fraction

 

Please write 48/5 as a proper fraction

Proper Fractions
So, a proper fraction is just a fraction where the numerator (the top number) is less than the denominator (the bottom number). Here are some examples of proper fractions:

9*3/5

 

a=1/20
b=1/30
c=1/60

However the stipulation is that 'b' and 'c' work only 1/3 of the time

Hence the fraction of work completed in one day = 1/20+(1/30+1/60)/3 = 1/15 -- Can you take it from here?

 

So, a proper fraction is just a fraction where the numerator (the top number) is less than the denominator (the bottom number)

Correct.

9²/5

Close... Try again

 

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

assisted=help by providing money or information.
However the stipulation is that 'b' and 'c' work only 1/3 of the time

Hence the fraction of work completed in one day = 1/20+(1/30+1/60)/3 = 1/15 -- Can you take it from here?

how do you understand the question ?

 

third day?

part of 24hrs or every 3rd day?

 

assisted=help by providing money or information.
However the stipulation is that 'b' and 'c' work only 1/3 of the time

Hence the fraction of work completed in one day:
=1/20+(1/30+1/60)/3 = 1/15 -- Can you take it from here?

how do you understand the question ?

Working alone, 'A' can complete 1/20 of the job per day...
Similarly 1/30 for 'B' and 1/60 for 'C', respectively

However B and C will only be working 1/3 of the time (i.e. 'every third day')

So the (effective) fraction of work performed each day = A's share +1/3 (B's and C's share):
=1/20 +(1/30/1/60)/3 = 1/15

Get it?