A is 3 times as fast as B and is, therefore, able to complete a work in 32 days lesser than B. A and B, working together, can
complete the work in _________.
This questions was previously asked in
SSC CHSL 2nd June 2022 Shift-1
Explanation:
- Definitions:
- A is 3 times as fast as B, meaning A can complete in one day what B can in three days.
- A completes the work in 32 days less than B.
- Calculations:
- Let B take x days to finish the work alone. Thus, A takes (x - 32) days.
- A's work rate: 1/(x-32) per day.
- B's work rate: 1/x per day.
- A and B's combined work rate: 1/(x-32) + 1/x per day.
- Formation of Equation:
- A's work takes x - 32 days, set equation: A's rate is 3 times B's rate ? x = 48 days.
- B takes 48 days, while A takes 16 days.
- Combined rate: 1/16 + 1/48 = 1/12 per day.
- Solution:
- Working together, they complete the work in 12 days.
- Correct Answer:
- Option 1: 12 days
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By: santosh