Mathamatics

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A walk up a hill starts at a car park on the 100m contour and climbs steadily to a summit at 240 m. On a map with scale 1:25 000 the distance along the path from the car park to the summit is 9.6 cm.
Choose the three true statements from the following.
Options
A) The distance on the ground from the car park to the summit is about
2.4 km.
B) The distance on the ground from the car park to the summit is about
4.2 km.
C) The average mathematical gradient of the climb is 0.058 (to 2 s.f.).
D) The average mathematical gradient of the climb is 0.17 (to 2 s.f.).
E) Naismith’s rule predicts that the walk to the summit and back down
to the car park will take about 40 minutes.
F )Naismith’s rule predicts that the walk to the summit and back down to the car park will take about 1 hour 10 minutes.
G) Naismith’s rule predicts that the walk to the summit and back down to the car park will take about 1 hour 30 minutes

  • Mathamatics -

    9.6 cm * 10^-2 m /cm = 9.6*10^-2 m
    9.6*10^-2 * 25,000 = 2,400m
    which is 2.4 km (answer A)

    240 - 100 = 140 meters up
    140/2400 = .058 (answer C)

    I have no idea what Naismith's rule is, use Google

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