When two objects move in opposite directions, their relative speed is the sum of their individual speeds. Here, the relative speed is 15 + 17 = 32 km/h. After 3 hours, the distance between them is relative speed multiplied by time, which is 32 × 3 = 96 km. This distance represents how far apart they are from the starting point after 3 hours.
Option A:
Option A, 32 km, is only the distance they would be apart after 1 hour at the relative speed of 32 km/h and fails to account for the full 3 hours of travel.
Option B:
Option B, 90 km, underestimates the separation and could come from incorrectly adding or averaging speeds, but it does not match 32 × 3.
Option C:
Option C correctly multiplies the relative speed by time, applying the standard formula distance = speed × time for relative motion. This yields 96 km as the accurate separation.
Option D:
Option D, 102 km, overstates the distance and suggests a relative speed higher than 32 km/h, which is not given.
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