JAMIA 2026 — Reasoning PYQ

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Question

JAMIA 2026 — Reasoning PYQ

JAMIA | Reasoning | 2026

A car travels the first one-third of the distance at $20 km/h$ , the second one-third distance at $60 km/h$ , and the remaining distance at $30 km/h$ . What is its average speed?

Choose the correct answer:

Explanation

Method 1: Using the Direct Formula for Equal Distances

When a journey is divided into three equal distance intervals, each traveled at speeds $v_{1}$ , $v_{2}$ , and $v_{3}$ respectively, the harmonic mean formula for average speed is:

$Average Speed = \frac{3 \cdot v _{1} \cdot v _{2} \cdot v _{3}}{v _{1} \cdot v _{2} + v _{2} \cdot v _{3} + v _{3} \cdot v _{1}}$

Given speeds:

$v_{1} = 20 km/h$
$v_{2} = 60 km/h$
$v_{3} = 30 km/h$

Substitute these values into the formula:

$Average Speed = \frac{3 \times 20 \times 60 \times 30}{( 20 \times 60 ) + ( 60 \times 30 ) + ( 30 \times 20 )}$

$Average Speed = \frac{108000}{1200 + 1800 + 600}$

$Average Speed = \frac{108000}{3600}$

$Average Speed = \frac{1080}{36} = 30 km/h$