A release-checked medium problem for training Brainteasers.
Question
Alice, Bob, and Carter are driving down a one-lane road in the same direction. Each car moves at some constant speed. In some instant, Alice is a distance $d$ behind Bob and Carter is a distance $2d$ in front of Bob. Alice passes Bob $7$ minutes after this instant. $5$ minutes after that, Alice passes Carter. How many seconds after Alice passes Carter would Bob pass Carter?
Practice focus
This Brainteasers problem is tagged Brainteasers. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.