A car covers first 39 km of its journey in 45 minutes and the remaining 25 km in 35 minutes. What is the average speed of the car?a)40 km/hrb)64 km/hrc)49 km/hrd)48 km/hrCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Answer

Total distance covered = 39+25 = 64km
Total time taken = 45+35
= 80min
= 80/60 hr
= 4/3 hr
Average speed = 64/(4/3)
= (64/4)*3
= 16*3
= 48km/hr
Correct option - d)

Answer

Answer

To find the average speed of the car, we need to calculate the total distance traveled and the total time taken. Let's solve the problem step by step.

Given:
Distance covered in the first 39 km = 39 km
Time taken to cover the first 39 km = 45 minutes

Distance covered in the remaining 25 km = 25 km
Time taken to cover the remaining 25 km = 35 minutes

We need to find the average speed, which is given by the formula:
Average Speed = Total Distance / Total Time

1. Calculating the Total Distance:
Total Distance = Distance covered in the first 39 km + Distance covered in the remaining 25 km
Total Distance = 39 km + 25 km
Total Distance = 64 km

2. Calculating the Total Time:
Total Time = Time taken to cover the first 39 km + Time taken to cover the remaining 25 km
Total Time = 45 minutes + 35 minutes
Total Time = 80 minutes

3. Calculating the Average Speed:
Average Speed = Total Distance / Total Time
Average Speed = 64 km / 80 minutes

To convert minutes to hours, we divide by 60:
Average Speed = 64 km / (80/60) hours
Average Speed = 64 km / (4/3) hours
Average Speed = 64 km * (3/4) / 1 hour
Average Speed = 48 km/hr

Therefore, the average speed of the car is 48 km/hr. So, option 'D' is the correct answer.

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