A boy is running at a speed of p km/hr… - CUET UG 2025 General Test PYQ

CUET UG 2025 — General Test Arithmetic

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A boy is running at a speed of p km/hr to cover a distance of 1 km. But, due to the slippery ground, his speed is reduced by q km/hr (p>q). If he takes r hours to cover the distance, then

Official previous-year question

Held on 14 May 2025 · Verified 13 Jul 2026.

Options

A
$\dfrac{1}{r} = p - q$
B
$r = p - q$
C
$\dfrac{1}{r} = p + q$
D
$r = p + q$

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Solution

A boy wants to run 1 km at a speed of $p$ km/hr. Due to slippery ground, his speed is reduced by $q$ km/hr. He takes $r$ hours to complete the distance.

The actual speed of the boy is:

Actual speed $= p - q$ km/hr

Using the distance-speed-time relationship:

Distance $=$ Speed $\times$ Time

Substituting the given values:

$1 = (p - q) \times r$

Rearranging the equation:

$1 = r(p - q)$

Dividing both sides by $r$ :

$\dfrac{1}{r} = p - q$

Therefore, the relationship between $p$ , $q$ , and $r$ is $\dfrac{1}{r} = p - q$ .

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