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Question : Pia and Ria can complete a project together in 26 days. Pia alone can complete the project in 78 days. They start working together but Pia leaves after 12 days. In how many days can Ria complete the remaining work of the project?

Option 1: 21 days

Option 2: 24 days

Option 3: 25 days

Option 4: 13 days


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 3rd Jan, 2024

Correct Answer: 21 days


Solution : Work done by Pia + Ria = 26 days
Work done by Pia = 78 days
LCM of 26 and 78 is 78
Total work = 78 units
Efficiency of Pia and Ria = $\frac{78}{26} = 3$
Efficiency of Pia = $\frac{78}{78} = 1$
Efficiency of Ria = 3 – 1 = 2
Work done by Pia and Ria in 12 days = 3 × 12 = 36 unit
Remaining work = 78 – 36 = 42 unit
Number of days Ria takes to complete the remaining work = $\frac{\text{Total work}}{\text{Efficiency}}=\frac{42}{2}= 21$
Hence, the correct answer is 21 days.

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