Question

Nina and Jo both ran a 9 km race.

Answer 1

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Answer:

  7.83 km/h

Step-by-step explanation:

At her constant pace, Nina's time for 6 km will be found by the proportion ...

  (time for 6 km)/(6 km) = (time for 9 km)/(9 km)

  time for 6 km = (6 km)/(9 km) × (75 min) = 50 min

Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...

  speed = distance/time

  = (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed

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Additional comment

From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.