Working 5 hours a day, A can complete a task in 8 days and working 6 hours a day, B can finish the same task in 10 days. Working 8 hours a day, they can jointly complete the task in __________.

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. 5 days
  2. 3 days
  3. 4.5 days
  4. 6 days

Answer (Detailed Solution Below)

Option 2 : 3 days
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

A working hours = 5 hours/day

A can complete a task = 8 days

B working hours = 6 hours/day

B can finish the same task = 10 days

Concept used:

M1 × D1 × H1 = M2 × D2 × H2

M = person ; D = days ; H = hours 

Calculation:

According to the question:

⇒ A × 5 × 8 = B × 6 × 10

⇒ A/B = 3/2

Total work = A × 5 × 8 = 3 × 40 = 120 units

Required time taken = 120/{(3 + 2) × 8}

⇒ 120/40 = 3 days

∴ The correct answer is 3 days.

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