Question

1. jordyn ran 5 kilometres in 27 minutes one day. the next day, she ran 6 kilometres in 31 minutes.

a) calculate how many minutes it took her on average to run a kilometre each day.
b) did she run faster on the first or second day?

Explanation:

Part (a)

Step 1: Calculate time per km on day 1

To find the average time per kilometer on the first day, we divide the total time by the total distance. Jordyn ran 5 km in 27 minutes. So the time per km on day 1 is $\frac{27}{5}$ minutes per km.
$\frac{27}{5} = 5.4$ minutes per km.

Step 2: Calculate time per km on day 2

On the second day, she ran 6 km in 31 minutes. So the time per km on day 2 is $\frac{31}{6}$ minutes per km.
$\frac{31}{6} \approx 5.17$ minutes per km.

Step 3: Find the average time per km

To find the overall average time per km, we first find the total time and total distance for both days.
Total distance = $5 + 6 = 11$ km.
Total time = $27 + 31 = 58$ minutes.
Average time per km = $\frac{58}{11} \approx 5.27$ minutes per km.

To determine when she ran faster, we compare the time per kilometer for each day. A lower time per kilometer means a faster speed.

• Day 1: $\frac{27}{5} = 5.4$ minutes per km.
• Day 2: $\frac{31}{6} \approx 5.17$ minutes per km.

Since $5.17 < 5.4$, the time per kilometer is less on the second day, which means she ran faster on the second day.

Answer:

Approximately $5.27$ minutes per kilometer.

Part (b)