SOLUTION: Sam has already biked 1 4 of all the distance and 12 miles, and he still needs to bike 3 8 of the total distance and 9 miles. What’s the total distance?
Question 1036444: Sam has already biked 1 4 of all the distance and 12 miles, and he still needs to bike 3 8 of the total distance and 9 miles. What’s the total distance? Found 2 solutions by Aldorozos, MathTherapy:Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website! Most likely you meant 1/4 of the distance and 3/8 of the distance
1/4 of d + 12
3/8 of d + 9
we add 1/4 and 3/8 of the distance and we get 5/8 of the distance. If he biked 5/8 of the distance and also biked 12 additional and 9 additional miles to cover the rest of the distance this means that the rest of the distance which is 8/8 - 5/8 = 3/8 is equivalent to 9+12 = 21
3/8 * d = 21. d=21*8 divided by 3 = 7*8 = 56 Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
Sam has already biked 1 4 of all the distance and 12 miles, and he still needs to bike 3 8 of the total distance and 9 miles. What’s the total distance?
Let total distance be D
based on the info., we get:
2D + 96 + 3D + 72 = 8D ------- Multiplying by LCD, 8
2D + 3D + 168 = 8D
5D - 8D = - 168
- 3D = - 168
D, or distance = =