Two men A and B walk from P to Q at a distance of 21 km at rates 3 and 4 km an hour, respectiv

step 1 Hi, here in this given problem, this is P, this is Q. Distance between P and Q that is given as

Two men A and B walk from P to Q at a distance of 21 km at...

Two men $A$ and $B$ walk from $P$ to $Q$ at a distance of $21 \mathrm{~km}$ at rates 3 and $4 \mathrm{~km}$ an hour, respectively. $B$ reaches $Q$ and returns immediately and meets $A$ at $R$. The distance from $P$ to $R$ is (a) $14 \mathrm{~km}$ (b) $20 \mathrm{~km}$ (c) $16 \mathrm{~km}$ (d) $18 \mathrm{~km}$

Two men $A$ and $B$ walk from $P$ to $Q$ at a distance of $21 \mathrm{~km}$ at rates 3 and $4 \mathrm{~km}$ an hour, respectively. $B$ reaches $Q$ and returns immediately and meets $A$ at $R$. The distance from $P$ to $R$ is
(a) $14 \mathrm{~km}$
(b) $20 \mathrm{~km}$
(c) $16 \mathrm{~km}$
(d) $18 \mathrm{~km}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Uniform Motion

Uniform motion refers to movement at a constant speed in a straight line, which forms the basis for relating distance traveled to speed and time. This concept is fundamental when setting up equations to determine meeting points and travel durations in problems involving constant rates.

Distance-Speed-Time Relationship

The distance-speed-time relationship is a key mathematical formula wherein distance equals speed multiplied by time. This relationship is used to model the travel of each person in the problem, enabling the creation of equations that help determine unknown distances or times.

Relative Motion

Relative motion involves understanding the movement of one object with respect to another. In meeting problems, like the one given, analyzing the paths and speeds of both individuals relative to each other is essential to determine the exact point of encounter where their travel times align.

Simultaneous Equations

Simultaneous equations arise when multiple relationships or constraints based on uniform motion and relative motion need to be satisfied concurrently. They are used to solve for unknown quantities by equating the time or distance expressions of the individuals involved.

Transcript

Please give Ace some feedback