You come into contact with strangers. He was very friendly, nice, and seems to show many of the characteristics of a good person. But he does not have what you have and does not know that he needed it, and you may not realize that he needs it. Hopefully not long in your conversation will be aware of their needs and begin to help him see for himself.
But what you have, and he needs? It is Gospel– the realization of sin and death, to turn from in repentance and turning to God, to understand that only through the shed blood of Jesus can one be forgiven and accepted. You can get the amazing bible timeline charts & maps via online sources.
Think about the importance of the Gospel. It's a matter of life and death! You may talk about various things, but before you go, they've heard at least a little something about God that you love? Since sharing God with people definitely the best use of time, what is there that can help you share?
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Growth in your relationship with God happens when you spend time in His Word and meditate on Him, and the result of the growth will overflow into every area of your life, including your everyday conversation!
There is always a danger for those who have put their trust in Jesus to slack in their growth as people believe, most often because of the time needed (as with any relationship). But it must be done in order to experience the unparalleled joy of God's presence, and will also be useful for other people.