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Mathematics
Time and Work
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NTPC Graduate Tier 1 2025 Shift-2 📅 05 Jun, 2025

A can complete a piece of work in 15 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?

A
60/7 days
B
8 days
C
10 days
D
50/7 days
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-2
A can complete a piece of work in 15 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?
Correct Answer
60/7 days
Total Work Assumption: Determine the total units of work by finding the Least Common Multiple (LCM) of the given days (15 and 20). The LCM is 60 units.Individua......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Time and Work
Pg. No -
💡 Analysis & Explanation
Total Work Assumption ▼
Determine the total units of work by finding the Least Common Multiple (LCM) of the given days (15 and 20). The LCM is 60 units.
Individual Efficiency ▼
A's efficiency is 60 / 15 = 4 units per day. B's efficiency is 60 / 20 = 3 units per day.
Combined Force ▼
Working simultaneously, their joint efficiency is 4 + 3 = 7 units per day.
Time Calculation ▼
The total time required is Total Work divided by Combined Efficiency, which translates to 60 / 7.
Conclusion ▼
The required time to finish the work is exactly 60/7 days.
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