## Acalytica

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A car travels from A to B at a speed of 40 mph then returns, using the same road, from B to A at a speed of 60 mph. What is the average speed for the round trip?
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The average speed is given by.
total distance / total time
If $\mathrm{x}$ is the distance from $\mathrm{A}$ to $\mathrm{B}$, then the total distance is equal to $2 \mathrm{x}$ (away and return). The tota
T time is equal to time $t 1=x / 40$ from $A$ to $B$ (away) plus $t 2=x / 60$ from $B$ to $A$ (return). Hence
$T=x / 40+x / 60=100 x / 2400=x / 24$
The average speed is given by
$2 x /(x / 24)=48 \mathrm{mph}$
by Platinum (164,920 points)

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