A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and16km in the third quarter. The average speed of the car in km per hour over theentire journey isa)30b)36c)40d)24Correct answer is option 'C'. Can you explain this answer?

Question

Answer

Answer

To find the average speed of the car over the entire journey, we need to calculate the total distance covered and the total time taken.

Given:
Distance covered in the first quarter of an hour = 8 km
Distance covered in the second quarter of an hour = 6 km
Distance covered in the third quarter of an hour = 16 km

To calculate the total distance covered, we add up the distances covered in each quarter of an hour:
Total distance = 8 km + 6 km + 16 km = 30 km

The time taken for the entire journey is 3 quarters of an hour, which is 45 minutes. To convert this to hours, we divide by 60:
Total time = 45 minutes / 60 = 0.75 hours

Now, we can calculate the average speed using the formula:
Average Speed = Total distance / Total time

Substituting the values, we get:
Average Speed = 30 km / 0.75 hours = 40 km/h

Therefore, the correct answer is option C) 40 km/h.

Answer

Total distance travelled= 8 + 6+ 16= 30km
Total time consumed = 15 + 15 + 15 = 45 minutes or 3/4 hrs
Average speed = Total distance/ Total time
= 30 × 4/3= 40km/hrs

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