Question

26. (3) One day's work of ( A ) and ( B=frac{1}{8} ) and one day's work of ( B=frac{1}{12} ) One day's work of ( A ) alone ( =frac{1}{8}-frac{1}{12} )
[
=frac{3-2}{24}=frac{1}{24}
]
Hence, ( A ) will complete the work in 24 days by working alone Work remaining after working by
[
B=1-frac{4}{12}=1-frac{1}{3}=frac{2}{3}
]
( because ) Time taken by ( A ) to do a work ( =24 ) days Thus time taken by ( A ) to ( d o frac{2}{3} r d ) of a work
[
=frac{2}{3} times 24=16 text { days }
]

# 26. A and B together can complete a work in 8 days. B alone can complete that work in 12 days. B alone worked for four days. After that how long will A alone take to complete the work? (1) 15 days (2) 18 days (3) 16 days (4) 20 days

Solution