A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more upstream than downstream. What is the distance (in km)? 

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Previous Year Paper 1 (16 Sep 2017 Shift 1)
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  1. 36
  2. 72
  3. 48
  4. 24

Answer (Detailed Solution Below)

Option 2 : 72
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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Speed of the man in still water = 10 km/h

Speed of the current = 2 km/h

Speed of the man along the current = (10 + 2) km/h = 12 km/h

Speed of the man against the current = (10 – 2) km/h = 8 km/h

Given,

He takes 3 hours more in upstream than in the downstream

Let, The distance is x km = x/8 – x/12 = 3

⇒ x = 72 km

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