Pia and Ria can complete a project together in 26 days Pia alone can complete the project in 78 days...........

Quantitative Aptitude (MTS) Time and work

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?

This questions was previously asked in

SSC MTS 13th July 2022 Shift-2

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21 days

24 days

25 days

13 days

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Explanation:

Correct option 1 : 21 days

Formula used:
Number of days = Total work/1 day's work (Efficiency)
Calculation:
Pia + Ria 26 days
Pia → 78 days
Total work = LCM (26, 78) = 78 unit
Efficiency of Pia and Ria = 78/26 = 3
Efficiency of Pia = 78/78 = 1
Efficiency of Ria = 3-1=2
Work done by Pia and Ria in 12 days = 3 x 12 = 36 unit
Remaining work = 78 - 36 = 42 unit
Number of days Ria takes to complete the remaining work:
Number of days = Total work/1 day's work (Efficiency)
⇒ 42/2 = 21 days