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Bunuel
Richard leaves to visit his friend who lives 200 miles down Interstate 10. One hour later his friend Steve leaves to visit Richard via Interstate 10. If Richard drives at 60 mph and Steve drives at 40 mph, how many miles will Steve have driven when they cross paths?

(A) 56
(B) 58
(C) 60
(D) 65
(E) 80

Solution:

We have a formula for the time taken by 2 bodies to meet if they are moving towards each other. It is \(\frac{D}{(S_1+S_2)}\).

But we don't really know the distance between them when they both start moving towards each other.

We know that Richard moves for 1 hour and in that time he must have moved \(\frac{60}{1}=60\) miles.

So, the distance between them when they start moving towards each other \(= 200-60=140\) miles.

So they will meet each other in \(\frac{140}{(60+40)} = 1.4\) hours.

And in these 1.4 hours, Steve must have moved \(40\times 1.4=56\) miles.

Hence the right answer is Option A.
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