Suresh and Babu can complete a piece of work in 35 days while Suresh alone can complete the same work in 60 days. In how many days Babu alone will be able to complete the same work ?

Asked by Manju | 21st Aug, 2016, 05:42: PM

Expert Answer:

begin mathsize 14px style T i m e space t a k e n space b y space S u r e s h space a n d space B a b u space t o space c o m p l e t e space a space p i e c e space o f space w o r k equals 35 space d a y s
T i m e space t a k e n space b y space S u r e s h space t o space c o m p l e t e space t h e space s a m e space w o r k equals 60 space d a y s
rightwards double arrow S u r e s h space a n d space B a b u apostrophe s space 1 space d a y apostrophe s space w o r k equals 1 over 35
S u r e s h apostrophe s space 1 space d a y space w o r k equals 1 over 60
N o w comma space B a b u apostrophe s space 1 space d a y apostrophe s space w o r k
equals left parenthesis S u r e s h space a n d space B a b u apostrophe s space 1 space d a y apostrophe s space w o r k right parenthesis minus left parenthesis S u r e s h apostrophe s space 1 space d a y space w o r k right parenthesis
equals 1 over 35 minus 1 over 60
equals fraction numerator 12 minus 7 over denominator 420 end fraction
equals 5 over 420
equals 1 over 84
H e n c e comma space B a b u space c a n space c o m p l e t e space t h e space w o r k space i n space 84 space d a y s. end style

Answered by Rashmi Khot | 22nd Aug, 2016, 09:05: AM