A flight covers a distance between A and B in 31 hours. If the speed of the flight is reduced by 320 km/hr, then the same distance is covered in 36 hours. Find the distance between A and B. (in km)

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  1. 74424
  2. 73424
  3. 72424
  4. 71424

Answer (Detailed Solution Below)

Option 4 : 71424
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

1st condition,

Time1 = 31 hr

2nd condition,

Time2 = 36 hr

Speed2 = (s1 - 320) km/h

Formula used:

Distance = Speed × Time

Calculation:

s1 × t1 = s2 × t2

⇒ s1 × 31 = (s1 - 320) × 36

⇒ s1 × 31 = 36s1 - 11,520

⇒ 5s1 = 11,520

⇒ s1 = 2304 km/h

Distance = s1 × t1

⇒ 2304 × 31 = 71424

The distance between A and B is 71424 km

∴ The correct answer is option (4).

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