A boy is driving a car at a speed of 60 km/hr from his home to college. In

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A boy is driving a car at a speed of 60 km/hr from his home to college. In the return journey, his speed was half of what it was in the ongoing journey. Calculate the total time of the entire journey. Given: Distance between college and home is 12 km. Also, find the average speed of the car for the entire journey. [5 MARKS]

Answer:
:
Distance: 2 Marks
Average Speed: 1 Mark
Formula: 1 Mark
Steps: 1 Mark
From home to school:
Speed of car = 60 km/hr
Distance = 12 km
Time taken

= \frac{d i s t a n c e}{s p e e d} = \frac{12}{60} = 0.2 h r s

From school to home:
Speed of car

= \frac{60}{2}

= 30 km/hr
Distance = 12 km
Time taken

= \frac{12}{30} = \frac{2}{5} = 0.4 h r s

Total time taken by car = 0.2 + 0.4 = 0.6 hrs
Average Speed

= \frac{T o t a l D i s t a n c e t r a v e l l e d}{T o t a l T i m e}

= \frac{24}{0.6}

= 40 km/hr

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