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Vandana is 40% more efficient than Diksha, and Diksha takes 14 days more than Vandana to complete a piece of work. How many days will Vandana take to complete the same work?

Vandana is 40% more efficient than Diksha, and Diksha takes 14 days more than Vandana to complete a piece of work. How many days will Vandana take to complete the same work? Correct Answer 35 days

Given:

Vandana is 40% more efficient than Diksha, Diksha takes 14 days more than Vandana to complete a piece of work.

Concept:

Efficiency is inversely proportional to the time.

Calculation:

Ratio of efficiency of Vandana and Diksha = 140 ∶ 100

Ratio of time taken by Vandana and Diksha = 100 ∶ 140

Let Vandana takes 100x days, and Diksha takes 140x days to complete a piece of work.

Days taken by Diksha – Days taken by Vandana = 14

⇒ 140x – 100x = 14

⇒ 40x = 14

⇒ x = 7/20

Days taken by Vandana = 100x

⇒ 100 × 7/20

⇒ 35

And, days taken by Diksha = 140x

⇒ 140 × 7/20

⇒ 49

∴ Vandana will take 35 days to complete the same work.

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