Jim’s average speed is 8 km/h while walking and 12 km/h while jogging. It takes him 0.5 h longer to walk from the school to the

Question

Grace [21]

2 years ago

15

Jim’s average speed is 8 km/h while walking and 12 km/h while jogging. It takes him 0.5 h longer to walk from the school to the

pool than it takes him to jog the same distance. How far is it from the school to the pool?

Mathematics

1 answer:

lord [1] · Answer 1 · 2022-06-11T23:41:58+03:00

Answer:

12 km

Step-by-step explanation:

Using the formula <em>rate × time = distance:</em>

Jogging = 12 km/h × x = 12x

Walking = 8 km/h × (x + 0.5) = 8x + 4

Setting the two terms equal:

12x = 8x + 4

Subtracting 8x from both sides:

4x = 4

Dividing both sides by 4:

x = 1

Therefore, it takes 1 hour of jogging or 1.5 hours of walking to travel from the school to the pool. Thus, they are 12 km [12 km/h × 1 h <em>or</em> 8 km/h × 1.5 h] apart.