A train travels from Nadiad to Navsari at a speed of 84 km/hr and returns at a speed of 86 km/hr. If it takes 170 hours for the total travel, then find the distance between Nadiad to Navsari. (In km)

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OSSC CGL 2022 Official Paper (Held on: 17th Oct Shift 2)
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  1. 7334
  2. 7114
  3. 7224
  4. 7444

Answer (Detailed Solution Below)

Option 3 : 7224
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Detailed Solution

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Given:

Speed of train = 84 km/hr

Returns at the speed of 86 km/hr

Concept used:

\(Time = {Distance \over Speed}\)

Calculation:

⇒ \(T = {D \over S1} \;+\; {D \over S2}\;\;\)

 \(170 = {D \over 84} \;+\; {D \over 86}\;\;\)

 \(170 = {86D \;+\; 84D \over 7224}\;\)

 170 × 7224 = 170D

 D = 7224

The distance between Nadiad and Navsari is 7224 km.

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