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Rajiv, Sanjiv and Vijay join a running race. The distance is 1500 meters. Rajiv beats Sanjiv by 30 meters and Vijay by 100 meters. By how much could Sanjiv beat Vijay over the full distance if they both ran as before?1. 72.3 meters2. 71.5 meters3. 71.4 meters4. 70.2 meters |
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Answer» Correct Answer - Option 3 : 71.4 meters Given: Distance = 1500 meters Rajiv beats Sanjay by 30 meters Rajiv beats Vijay by 100 meters Calculations: Rajiv runs distance = 1500 meters Sanjiv runs distance = 1500 - 30 ⇒ 1470 metes Vijay runs distance = 1500 - 100 ⇒ 1400 meters At the same rate, Sanjiv runs 1500 meters while Vijay runs = 1500 × 1400/1470 ⇒ 1428.57 Sanjay beats Vijay by =1500 - 1428.57 ⇒ 71.42 meters ∴ Sanjiv ought to beat Vijay by 71.4 meters. |
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