A boat can travel 16.9 km downstream in 52 min. If the speed of the current is 3 km/h, then how much time (in hours) will the boat take to travel 84 km upstream?

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. 6.22
  2. 6
  3. 13.5
  4. 7.5

Answer (Detailed Solution Below)

Option 1 : 6.22
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

A boat can travel 16.9 km downstream in 52 min. The speed of the current is 3 km/h. We need to find the time (in hours) the boat will take to travel 84 km upstream.

Formula Used:

Speed = Distance / Time

Time = Distance / Speed

Calculation:

First, convert 52 minutes to hours:

52 min = 52 / 60 = 0.867 h

Let the speed of the boat in still water be x km/h.

The downstream speed of the boat = x + 3 km/h

According to the given data:

x + 3 = 16.9 / 0.867

⇒ x + 3 = 19.5

⇒ x = 19.5 - 3 = 16.5 km/h

The upstream speed of the boat = x - 3 = 16.5 - 3 = 13.5 km/h

Time to travel 84 km upstream = Distance / Speed

⇒ Time = 84 / 13.5

⇒ Time = 6.22 hours

∴ The correct answer is option (1).

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