A man drives his car at a speed of 50 km / hr for 2 hours and then decides to slow down to 40 km / hr till the end of the journey. If his average speed for the journey was 44 km / hr, then for how much time he drives his car at speed 40 km / hr?

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SSC MTS (2022) Official Paper (Held On: 16 May, 2023 Shift 2)
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  1. 2 hours
  2. 1 hour
  3. 3 hours
  4. 4 hours

Answer (Detailed Solution Below)

Option 3 : 3 hours
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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Given:

A man drives his car at a speed of 50 km/hr for 2 hours.

Then decides to slow down to 40 km/hr till the end of the journey.

His average speed for the journey was 44 km/hr, 

Concept used:

Distance = speed × time

Calculation:

Let he drives x hr at a speed of 40 km/hr.

In, 1st hours he covers 50 × 2 = 100 km

So next x hours he covers 40 × x = 40x km

Total distance he covered = (40x + 100) km

As per the question,

40x + 100 = (x + 2) × 44

⇒ 44x - 40x = 100 - 88

⇒ 4x = 12

⇒ x = 3 hr

∴ He drives his car at a speed 40 km / hr for 3 hrs

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