MAH-CET 2025 — Reasoning PYQ

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Question

MAH-CET 2025 — Reasoning PYQ

MAH-CET | Reasoning | 2025

A car travels from A to B at a speed of x km/h and returns from B to A at a speed of y km/h. If the average speed for the entire is 48 km/h and the distance between A and B is 96 km, what is the value of x+y?

Choose the correct answer:

Explanation

1. Average Speed Formula

Jab distance $d$ dono taraf ke liye barabar ho:

\text{Average Speed} = \frac{2xy}{x+y}

2. Solving for $x+y$

Humein diya gaya hai:

\text{Average Speed} = 48 \text{ km/h}

Value substitute karne par:

48 = \frac{2xy}{x+y}

Divide by 2:

24 = \frac{xy}{x+y}

xy = 24(x+y)

3. Time calculation

Total distance $= 96 + 96 = 192 \text{ km}$

Total time $= \frac{192}{48} = 4 \text{ hours}$

Trip equations:

\frac{96}{x} + \frac{96}{y} = 4

96 \left( \frac{1}{x} + \frac{1}{y} \right) = 4

\frac{x+y}{xy} = \frac{4}{96} = \frac{1}{24}

4. Case: $x = y$

Agar $x = y$ (jaise ki car constant speed se gayi aur aayi):

x = y = 48 \text{ km/h}

x + y = 48 + 48 = 96

Final Answer:

x+y = 96