A person is walking at a speed of 5 km/hr. If he increases his speed by 3 km/hr, he will reach his destination six hours earlier. Find the distance to be travelled by him.

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  1. 80 km
  2. 60 km
  3. 50 km
  4. 40 km

Answer (Detailed Solution Below)

Option 1 : 80 km
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Detailed Solution

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Given:

Walking speed (initial) = 5 km/hr

Increased speed = 5 + 3 = 8 km/hr

Time difference = 6 hours

Formula used:

Distance = Speed × Time

Let the distance to be travelled = D km

Time taken at 5 km/hr = D / 5

Time taken at 8 km/hr = D / 8

Difference in time = 6 hours

So, (D / 5) - (D / 8) = 6

Calculation:

(D / 5) - (D / 8) = 6

⇒ (8D - 5D) / 40 = 6

⇒ 3D / 40 = 6

⇒ D = 6 × 40 / 3

⇒ D = 80

∴ The correct answer is option (1).

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