Question

Terry, Alisha and Ella run on a weekly basis.
In total, they average 176 km a week.
If Alisha runs twice as far as Terry and Ella runs one third of Alisha's distance, how far do each of them run?

Answer 1

If we let Terry's distance be x km, then Alisha runs twice as far, which is 2x km. Ella runs one third of Alisha's distance, which is (1/3) * 2x = (2/3)x km.

To find the total distance, we add up their distances: x + 2x + (2/3)x = 176 km.

Combining like terms, we have (7/3)x = 176 km.

To solve for x, we multiply both sides by (3/7):

x = (176 * 3) / 7 = 528 / 7 = 75.43 km (approximately).

So Terry runs about 75.43 km, Alisha runs about 2 * 75.43 = 150.86 km, and Ella runs about (2/3) * 75.43 = 50.29 km.