Vandana is 40% more efficient than Diksha, and Diksha takes 14 days mo

1.	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?1. 35 days2. 40 days3. 54 days4. 28 days
Answer» Correct Answer - Option 1 : 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 = 9 ⇒ 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.

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?1. 35 days2. 40 days3. 54 days4. 28 days

Answer» Correct Answer - Option 1 : 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 = 9

⇒ 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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