Question

If in a race, two cars drove at the same average speed, then the maximum speeds attained during the race ___.

• A. must be equal
• B. are the same if minimum and maximum values are same.
• C. may or may not be equal
• D. must be unequal

Answer 1

The correct option is C may or may not be equal

Maximum speeds attained during the race for both the cars may not be equal in general, as demonstrated in the below example:
$\begin{array}{ccc}& Car1& Car2\\ Lap1& 150kmph& 120kmph\\ Lap2& 150kmph& 180kmph\\ Lap3& 150kmph& 150kmph\\ Averagespeed& 150kmph& 150kmph\end{array}$

Average speed for car 1 = $\frac{150+150+150}{3}=150kmph$

Average speed for car 2 = $\frac{120+180+150}{3}=150kmph$

Both the cars have the same average speeds, but Car 1's maximum speed is 150 kmph and Car 2's maximum speed is 180kmph.
So, if two cars have the same average speeds, it does not imply in general that they have the same maximum speeds.