How Do You Calculate the Average Speed for a Round Trip?

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To calculate the average speed for a round trip where a car travels to a destination at 42 km/h and returns at 52 km/h, the average speed cannot simply be the arithmetic mean of the two speeds. Instead, the average speed is determined by the total distance divided by the total time taken. The formula involves calculating the time for each leg of the trip based on the same distance, which can be expressed as total distance divided by the sum of the individual times. The correct average speed for the round trip is approximately 46.2 km/h, not 47 km/h. This calculation highlights the importance of considering time rather than just speed when determining average speed for varying rates.
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A car travels along a certain road at an average speed of 42 km/h, and returns along the same road at an average speed of 52 km/h. Calculate the average speed for the round trip, to within 0.1 km/h.

i have no clue. I'm trying to help a friend with general Physics homework (i've taken physics with calc) but i can't get this very simple question. please help!
 
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This thread should be in the homework sub-forum.

Anyway, how long does it take for the car to travel to a destination a distance x away?
How long does it take to get back?
 
that wasnt given so idk.
 
It doesn't matter what x is, it should come out the same since we are talking about ratios.
 
ok so how do u get it?
 
If its the same distance, then you just need an average of 42 and 52.

42+52=94

94/2= 47km/h
 
it's not it. we've tried that. the question is weird. =/
 
mbayabo said:
A car travels along a certain road at an average speed of 42 km/h, and returns along the same road at an average speed of 52 km/h. Calculate the average speed for the round trip, to within 0.1 km/h.

Hmm, well if that's the EXACT wording of the question, I have no idea. Sorry.
 
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