A train travels from Kandla to Mahesana at a speed of 82 km/hr and returns at a speed of 84 km/hr. If it takes 166 hours for total travel, then find the distance between Kandla to Mahesana. (In km)

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UP Police SI (दरोगा) Official PYP (Held On: 16 Nov 2021 Shift 3)
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  1. 7888
  2. 6888
  3. 9888
  4. 5888

Answer (Detailed Solution Below)

Option 2 : 6888
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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20 Questions 50 Marks 10 Mins

Detailed Solution

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Given:

Speed from Kandla to Mahesana = 82 km/hr

Speed from Mahesana to Kandla = 84 km/hr

Total time = 166 hours

Formula used:

Total time = Time for forward journey + Time for return journey

Time = Distance / Speed

Calculation:

Let the distance between Kandla and Mahesana be D km.

Total time = (Distance / Speed forward) + (Distance / Speed return)

⇒ 166 = (D / 82) + (D / 84)

⇒ 166 = (84D + 82D) / (82 × 84)

⇒ 166 = (166D) / (82 × 84)

⇒ D = (166 × 82 × 84) / 166

⇒ D = 82 × 84

⇒ D = 6888 km

∴ The correct answer is option (2).

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