Raman drove from home to a neighboring town at the speed of 50 kms./hr and on his returning journey, he drove at the speed of 45 kms./hr. and also took an hour longer to reach home. What distance did he cover each way?

Question

Question

This question was previously asked in

CSIR-CLRI JSA 2024 Official Paper-I (Held On: 16 Feb, 2025)

Answer 1

Given:

Speed while going (S₁) = 50 km/hr

Speed while returning (S₂) = 45 km/hr

Time difference = 1 hour

Formula used:

Distance = Speed × Time

Calculation:

Let the distance covered each way be D km.

Time taken while going = D / 50 hours

Time taken while returning = D / 45 hours

Given that the return journey took 1 hour longer:

⇒ (D / 45) - (D / 50) = 1

⇒ (50D - 45D) / (45 × 50) = 1

⇒ 5D / 2250 = 1

⇒ D / 450 = 1

⇒ D = 450 km

∴ The correct answer is option (1).

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