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

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UP Police SI (दरोगा) Official PYP (Held On: 14 Nov 2021 Shift 3)
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  1. 7114
  2. 7334
  3. 7444
  4. 7224

Answer (Detailed Solution Below)

Option 4 : 7224
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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:

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 Delhi and Amristar is 7224 km.

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