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Question
Two automobiles start from a point A at the same time. One travels towards the west at the speed of 60 miles per hour while the other travels towards the North at 35 mph. Their distance apart after 3 hours later is increasing at the rate (in mph)
Two automobiles start from a point A at the same time. One travels towards the west at the speed of 60 miles per hour while the other travels towards the North at 35 mph. Their distance apart after 3 hours later is increasing at the rate (in mph)
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Solution
The correct option is C 5 / √193
At time t hours, the distance d is d2 = (60t)2 + (35t)2
When t = 3, then, d = 208.39
Since 2d (dd / dt) = 7200t + 2450t = 9650t
At t = 3, [dd / dt] = 28950 / (2 * 208.39) = 69.46 km/hr
5 / √193
At time t hours, the distance d is d2 = (60t)2 + (35t)2
When t = 3, then, d = 208.39
Since 2d (dd / dt) = 7200t + 2450t = 9650t
At t = 3, [dd / dt] = 28950 / (2 * 208.39) = 69.46 km/hr
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