The park james's house used to have a bike trail that was 12.347 kilometers long. Last year, the trail was reduced to 9.432 kilo
2 answers:
Answer: The correct option is (D). 2.915 kilometers.
Step-by-step explanation: Given that the Park Jame's house used to have a bike trail that was 12.347 kilometers long. The trail was reduced to 9.432 kilometers last year to make space for meditation garden.
We are to find the difference in the lengths of the old and new bike trails.
The difference in the lengths of the old and new bike trails is given by
Thus, (D) is the correct option.
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First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km