Two cyclists start simultaneously from towns A and B that are apart and travel…

PHYSICS · Multi-part · CBSE · Physics · Motion · Motion

Problem

Two cyclists start simultaneously from towns A and B that are 60 km60\,\text{km} apart and travel towards each other on the same straight road. Cyclist P starting from A rides 4 km/h4\,\text{km/h} faster than Cyclist Q starting from B. They meet after 3 h3\,\text{h}. (i) If the speed of Cyclist Q is x km/hx\,\text{km/h} and that of Cyclist P is y km/hy\,\text{km/h}, write two linear equations connecting xx and yy. (ii) Solve the equations to find the speed of each cyclist. (iii) After meeting, Cyclist P continues to B and immediately turns back towards A at the same speed. How far from B will he be when Cyclist Q reaches B?

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