A car starts from A for B travelling 20 km an hour. 1 (1)/(2) hours later another car starts fr

step 1 Our question is two cars A and B are moving with the same speed of 45 km per hour along the same

A car starts from A for B travelling 20 km an hour. 1...

A car starts from $A$ for $B$ travelling $20 \mathrm{~km}$ an hour. $1 \frac{1}{2}$ hours later another car starts from $A$ and travelling at the rate of $30 \mathrm{~km}$ an hour reaches $B$ $2 \frac{1}{2}$ hours before the first car. Find the distance from $A$ to $B$. (a) $280 \mathrm{~km}$ (b) $260 \mathrm{~km}$ (c) $240 \mathrm{~km}$ (d) None of these

A car starts from $A$ for $B$ travelling $20 \mathrm{~km}$ an hour. $1 \frac{1}{2}$ hours later another car starts from $A$ and travelling at the rate of $30 \mathrm{~km}$ an hour reaches $B$ $2 \frac{1}{2}$ hours before the first car. Find the distance from $A$ to $B$.
(a) $280 \mathrm{~km}$
(b) $260 \mathrm{~km}$
(c) $240 \mathrm{~km}$
(d) None of these

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Key Concepts

Uniform Motion Equation

This concept involves the fundamental relationship between distance, speed, and time, expressed as distance = speed × time. It is crucial for solving problems where objects travel at constant speeds over a certain period, allowing one to calculate any of the three variables if the other two are known.

Time Delays and Head Starts

In problems where one object starts moving before or after another, understanding time delays or head starts is essential. This concept helps in setting up equations that account for differences in start times, ensuring that the travel times of the moving objects are correctly modeled relative to each other.

Setting Up and Solving Equations

Many motion problems require the formulation of equations that describe the relationships between the speeds, times, and distances traveled by different objects. This involves translating the problem’s narrative into mathematical expressions and solving them systematically to find the unknown quantities.

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