Question

Scott trained for the marathon.

Answer 1

Answer:

See below

Step-by-step explanation:

a)

Day 1

• 70 min for 10 km
• Rate = 70/10 = 7 min/km

Day 10

• 2h40 min for 20 km
• 2*60+40 = 160 min for 20 km
• Rate = 160/20 = 8 min/km

Day 20

• 4 h 15 min for 30 km
• 4*60 + 15 = 255 min for 30 km
• Rate = 255/30 = 8.5 min / km

b)

From the rate change we see:

• 1 min increase when the distance increases from 10 km to 20 km
• 0.5 min increase when distance increases from 20 km to 30 km

So we see 1 min increase per twice the distance increase

• With the same rate increase we can expect 1 min increase from 20 km to 40 km, which gives us the rate of 9 min/km
• With same logic we get 9.055 km/min rate for 44 km distance

Total time it takes:

• 9.055*44 = 398.42 min = 398.42*1/60 min = 6 h and 38.42 min