A bus travelling at 87 km/h completes a journey in 15 hours. At what speed will it have to cover the same distance in 9 hours?

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RPF Constable 2024 Official Paper (Held On: 07 Mar, 2025 Shift 2)
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  1. 143 km/h
  2. 145 km/h
  3. 155 km/h
  4. 147 km/h

Answer (Detailed Solution Below)

Option 2 : 145 km/h
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RPF Constable Full Test 1
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Detailed Solution

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Given:

Speed of bus (S1) = 87 km/h

Time taken (T1) = 15 hours

New time required (T2) = 9 hours

Formula used:

Distance (D) = Speed × Time

For constant distance: S1 × T1 = S2 × T2

Calculation:

Distance = 87 × 15

⇒ D = 1305 km

New speed required (S2):

⇒ S2 = D ÷ T2

⇒ S2 = 1305 ÷ 9

⇒ S2 = 145 km/h

∴ The correct answer is option (2).

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