The distance from the check point when Odalis catch up Jaquan is 1.2 kilometers.
Relative speed is the net speed difference when objects move in the same direction and sum of individual speeds when objects move in opposite direction.
Given Jaquan speed is 9km/hr which is 0.15km/minute and Odalis has a speed of 12km/hr which is 0.2km/minute.
∴ The relative speed difference between Jaquan and Odalis is
= (0.2 - 0.15) km/hr.
= 0.05 km/hr.
Given Odalis reached the check post after 2 minutes in this time Jaquan have covered (2×0.15) kilometers.
= 0.30 kilometers.
Now to catch up Jaquan, Odalis will need (0.30/0.05) minutes which is
= 6 minutes.
∴ The distance from the check post Odalis travelled to catch up with Jaquan is (0.2×6) kilometers.
= 1.2 kilometers.
learn more about relative speed here :
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