A car travels first half distance between two places with a speed of 40 km/h and the rest half distance with a speed of 60 km/h. The average speed of the car will be-

• A 100 km/hr
• B 50 km/hr
• C 49 km/hr
• D 200 km/hr

To find the average speed of the car over the entire journey, we need to consider the total distance and the total time taken. Let's break it down step by step.

Distance and Speed

Assume the total distance between the two places is D. The car travels half of this distance, which is D/2, at two different speeds:

• First half: 40 km/h
• Second half: 60 km/h

Calculating Time for Each Half

The time taken to travel the first half is:

Time1 = (D/2) / 40

The time taken for the second half is:

Time2 = (D/2) / 60

Finding Total Time

Now, we can calculate the total time:

Total Time = Time1 + Time2

Total Time = (D/2) / 40 + (D/2) / 60

Finding a Common Denominator

The common denominator for 40 and 60 is 120. So, we can rewrite the times:

Total Time = (3D/120) + (2D/120) = (5D/120) = (D/24)

Calculating Average Speed

The average speed is given by the formula:

Average Speed = Total Distance / Total Time

Substituting the values we have:

Average Speed = D / (D/24) = 24 km/h

Final Answer

Therefore, the average speed of the car is 48 km/h. Since this option is not listed, it seems there might be a mistake in the options provided. However, based on our calculations, the average speed is closest to:

• C. 49 km/h