Let x be the number of hours it will take for Atu and Brek to meet and cover the total distance of 420. The distance covered is the product of the speed and time. Thus,
56x + 49x = 420 105x = 420
The value of x from the derived equation is equal to 4 hours.
One hour less than the number of hours calculated above is 3 hours. The distances covered are calculated below.
Atu = (56 mph)(3 hours) = 168 miles Brek = (49 mph)(3 hours) = 147 miles
The total distance covered is equal to 315 miles.
Subtracting this distance from the given total distance. difference = 420 miles - 315 miles = 105 miles
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