Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (28.08.2024) Shift-I
A man can do a piece of work in 8 days and another man can do the same work in 10 days. How long should it take both of them working together but independently?
A6 days
B4 and 4/9 days ✓ Correct
C4 and 1/2 days
D5 and 1/5 days
Correct answer: (B) 4 and 4/9 days — Together they finish in 4 and 4/9 days, so that is the answer.
Explanation
★Together they finish in 4 and 4/9 days, so that is the answer.
★Take the total work as 40 units, the LCM of 8 and 10.
★The first man does 40 over 8, which is 5 units per day.
★The second man does 40 over 10, which is 4 units per day.
★Together they do 5 plus 4, which is 9 units per day.
★So the time is 40 over 9, which is 4 and 4/9 days.
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