A man is camping on an island 1km from the nearest point on the shoreline. He wants to go to the store which is  4km down the shoreline. The man can paddle his canoe at 7km/h and he can jog at 8km/h. Find x, the horizontal distance along the shore, across from where his island is, that the man should aim to land his canoe in order to reach the store in the least time.  Find your answer as a simplified rationalized fraction in the form A/B.

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