Anil is twice as capable as Binay. If Anil can complete a work 20 days

1.	Anil is twice as capable as Binay. If Anil can complete a work 20 days earlier than Binay, how many days will the two work together?A. 11.11 daysB. 13.33 daysC. 13.83 daysD. 14 days1. C2. D3. A4. B
Answer» Correct Answer - Option 4 : B Given: Efficiency of Anil = 2 × Efficiency of Binay Time difference between Anil and Binay to finish a work = 20 days Concept used: Efficiency = Total Work/Time Calculation: According to the question Efficiency ratio of Anil and Binay = 2 ∶ 1 The ratio of time taken by Anil and Binay = 1 ∶ 2 Time difference between Anil and Binay = 1 unit ⇒ 20 days = 1 unit So, Time taken by Anil = 20 × 1 = 20 days Time taken by Binay = 20 × 2 = 40 days Now, Total work = LCM of 20 and 40 ⇒ 40 units Time taken by Anil and Binay working together = Total Work/Efficiency ⇒ 40/(1 + 2) ⇒ 40/3 ⇒ 13.33 days ∴ Time taken by Anil and Binay to finish work together is 13.33 days.

Anil is twice as capable as Binay. If Anil can complete a work 20 days earlier than Binay, how many days will the two work together?A. 11.11 daysB. 13.33 daysC. 13.83 daysD. 14 days1. C2. D3. A4. B

Answer» Correct Answer - Option 4 : B

Given:

Efficiency of Anil = 2 × Efficiency of Binay

Time difference between Anil and Binay to finish a work = 20 days

Concept used:

Efficiency = Total Work/Time

Calculation:

According to the question

Efficiency ratio of Anil and Binay = 2 ∶ 1

The ratio of time taken by Anil and Binay = 1 ∶ 2

Time difference between Anil and Binay = 1 unit

⇒ 20 days = 1 unit

So,

Time taken by Anil = 20 × 1 = 20 days

Time taken by Binay = 20 × 2 = 40 days

Now,

Total work = LCM of 20 and 40

⇒ 40 units

Time taken by Anil and Binay working together = Total Work/Efficiency

⇒ 40/(1 + 2)

⇒ 40/3

⇒ 13.33 days

∴ Time taken by Anil and Binay to finish work together is 13.33 days.

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