Question : A can do a piece of work in 25 days, and B can do the same in 30 days. They work together for 5 days, how much of the work is left?
Option 1: $\frac{11}{30}$
Option 2: $\frac{15}{30}$
Option 3: $\frac{19}{30}$
Option 4: $\frac{12}{30}$
Correct Answer: $\frac{19}{30}$
Solution :
Given:
A can do a piece of work in 25 days.
B can do the same work in 30 days.
Total work = LCM of (25, 30) = 150 units
Efficiency of A = $\frac{150}{25}=6$ units/day
Efficiency of B = $\frac{150}{30}=5$ units/day
Total work done in 5 days = 5 × 11 = 55 units
Remaining work = 150 – 55 = 95 units
Remaining part of work left = $\frac{95}{150}=\frac{19}{30}$
Hence, the correct answer is $\frac{19}{30}$.
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