A car travels from town to town

MATHEMATICS · Multi-part · CBSE · Mathematics · Proportional Reasoning-2 · Proportional Reasoning-2

Problem

A car travels from town

A

to town

B

, a distance of

75\,\text{km}

, at a uniform speed of

v\,\text{km/h}

. After staying in town

B

for

15\,\text{min}

, it returns to

A

at a uniform speed of

60\,\text{km/h}

. The whole trip, including the halt at

B

, takes exactly

3\,\text{h}

. (i) Write an equation in

v

representing the total time for the journey. (ii) Solve the equation to find the value of

v

. (iii) Calculate the total distance travelled by the car. (iv) Determine the average speed for the entire trip, including the halt at

B