Test: AP Calculus AB 1

1.

A lifeguard on a beach needs to get to a swimmer in the water that is 200ft down the shoreline and 100ft out from the shore. The lifeguard can run 10ft/sec on the beach and can swim 4ft/sec in the water.  To get to the swimmer in the least amount of time, how far should the lifeguard run down the beach before swimming out to the swimmer in the water? Approximate your answer to the nearest hundredth.

156.36 ft

43.64 ft

99.99 ft

200 ft

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