## Another Brain Teaser

You drive from Point A to B at 60mph and then stop at a diner in B for 30 minutes. You then drive from B to C at a speed of 30mph. When you reach C, your watch tells you that you left point A four hours ago. Looking over the map, you realize that the distance from B to C is 1/4 of the distance from A to B. How many minutes did it take you to drive from point B to C?

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__**Hint**

**Hint**

Note that 60mph = 1mi/min and 30mph = 0.5mi/min

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__**Hint 2**

**Hint 2**

Solve for time (t) it takes to drive from B to C. Let
$$t_0$$
be the time it takes to drive from A to B.

$$$t_{0}+t=240min-30min=210min$$$

Solve for time (t) it takes to drive from B to C. Let
$$t_0$$
be the time it takes to drive from A to B. Note that 60mph = 1mi/min and 30mph = 0.5mi/min

$$$t_{0}+t=240min-30min=210min$$$

$$$t_{0}=210min-t$$$

The distance from A to B = 4x distance from B to C.

$$$1mi/min(210min-t)=4(t)(0.5\frac{mi}{min})$$$

Solving for (t):

$$$210min=3t$$$

$$$t=70\: min$$$

70 min