Q completes editing articles in 12 days more than P and P is 3 times e

1.	Q completes editing articles in 12 days more than P and P is 3 times efficient than Q. Calculate time taken when both of them work together.1. 5 days2. 5.4 days3. 4.5 days4. 3.33 days5. 4.8 days
Answer» Correct Answer - Option 3 : 4.5 days Given: P = Q – (0.30 × Q) (Efficiency) P = Q – 12 (In days) Formula used: Efficiency = Work done in units/Time in days 1/T = (1/T1) + (1/T2) Here, T1 = work done in days by 1, T2 = work done in days by 2 Calculation: If Q completes work in 3 days than P completes it in 1 day ⇒ In terms of efficiency P = 3 units and Q = 1 units ⇒ Difference = 2 units ⇒ 2 units = 12 days ⇒ 1 unit = 6 days ⇒ 3 units = 18 days ⇒ 1/T = (1/6) + (1/18) ⇒ 1/T = (3 + 1)/18 ⇒ 1/T = 4/18 ∴ Time taken by both of them to complete the work is 4.5 days

Q completes editing articles in 12 days more than P and P is 3 times efficient than Q. Calculate time taken when both of them work together.1. 5 days2. 5.4 days3. 4.5 days4. 3.33 days5. 4.8 days

Answer» Correct Answer - Option 3 : 4.5 days

Given:

P = Q – (0.30 × Q) (Efficiency)

P = Q – 12 (In days)

Formula used:

Efficiency = Work done in units/Time in days

1/T = (1/T1) + (1/T2)

Here, T1 = work done in days by 1, T2 = work done in days by 2

Calculation:

If Q completes work in 3 days than P completes it in 1 day

⇒ In terms of efficiency P = 3 units and Q = 1 units

⇒ Difference = 2 units

⇒ 2 units = 12 days

⇒ 1 unit = 6 days

⇒ 3 units = 18 days

⇒ 1/T = (1/6) + (1/18)

⇒ 1/T = (3 + 1)/18

⇒ 1/T = 4/18

∴ Time taken by both of them to complete the work is 4.5 days

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