A can do work in 15 days and B can do work in 20 days . What fractions of the work will be left if they work on it together for 4 days?

Asked by htadaconsultant | 11th Sep, 2019, 12:55: PM

Expert Answer:

A can do a work in 15 days, whereas B can do the same work in 20 days
A apostrophe s space o n e space d a y space w o r k space equals space 1 over 15
space B apostrophe s space o n e space d a y space w o r k space equals space 1 over 20 space
A apostrophe s space 4 space d a y s space w o r k space equals space 4 over 15
space B apostrophe s space 4 space d a y s space w o r k space equals space 4 over 20
I f space t h e y space w o r k space t o g e t h e r space f o r space 4 space d a y s comma
T o t a l space w o r k space d o n e space equals space 4 over 15 plus 4 over 20 equals fraction numerator 16 plus 12 over denominator 60 end fraction equals 7 over 15
F r a c t i o n s space o f space t h e space w o r k space l e f t space equals space 1 minus t o t a l space w o r k space d o n e equals 1 minus 7 over 15 equals 8 over 15
F r a c t i o n space o f space t h e space w o r k space l e f t space w i l l space b e space 8 over 15.

Answered by Renu Varma | 13th Sep, 2019, 10:32: AM