Geeta runs 5/2 times as fast as Babita. In a race, if Geeta gives a lead of 40 m to Babita, find the distance from the starting point where both of them will meet (correct up to two decimal places).

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SSC CPO 2022 Tier-I Official Paper (Held On 10 Nov 2022 Shift 1) [Answer Key]
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  1. 66.67 m
  2. 65 m
  3. 65.33 m
  4. 66 m

Answer (Detailed Solution Below)

Option 1 : 66.67 m
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
50 Qs. 50 Marks 35 Mins

Detailed Solution

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Given:

Geeta runs 5/2 times as fast as Babita 

Geeta gives a lead of 40 m to Babita 

Formula Used:

Distance = Speed × Time 

Calculation:

Let the speed of Babita be 2x

⇒ Speed of Geeta = (5/2) × 2x = 5x

Let the distance covered by Geeta be y meters

⇒ Distance covered by Babita = (y - 40) meters

As time is constant, distance is directly proportional to speed 

 = 

⇒ 2y = 5y - 200 

⇒ y = 200/3 = 66.67m 

∴ The distance from the starting point where both of them will meet is 66.67 m

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