The ratio of time taken by Binoy and Caro to cover a distance of 1000 km is 15:16. Find the ratio of their speeds.

This question was previously asked in
RPF SI (2018) Official Paper (Held On: 19 Dec, 2018 Shift 1)
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  1. 16 : 15
  2. 12 : 13
  3. 14 : 17
  4. 19 : 18

Answer (Detailed Solution Below)

Option 1 : 16 : 15
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Detailed Solution

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Given:

The ratio of time taken by Binoy and Caro to cover a distance of 1000 km is 15:16.

Concept:

The speed of an object is inversely proportional to the time taken to cover a distance.

Formula Used:

Speed ∝ 1/Time

Calculation:

Let the time taken by Binoy be 15 units and the time taken by Caro be 16 units.

Since speed is inversely proportional to time:

⇒ Speed of Binoy : Speed of Caro = 1/15 : 1/16

⇒ Speed of Binoy : Speed of Caro = 16 : 15

∴ The ratio of their speeds is 16:15.

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