As.
10. Amaruk and Mary are both travelling by boat between Igloolik and
Hall Beach, NU. Amaruk is 35 km away from Hall Beach. He is
travelling south to Hall Beach at a speed of 40 km/h. Mary is 15 km
away from Hall Beach. She is travelling north at a speed of 25 km/h.
When they pass each other, how far will they be from Hall Beach?

Respuesta :

9514 1404 393

Answer:

  • 4/13 h ≈ 0.308 h
  • 22 9/13 km ≈ 22.7 km

Step-by-step explanation:

Mary and Amaruk are starting 35 -15 = 20 km apart. Their closing speed is 40 +25 = 65 km/h. The time it will take to close the gap between them is ...

  t = (20 km)/(65 km/h) = 20/65 h = 4/13 h ≈ 0.308 h

They will pass each other after 4/13 hours, about 18 minutes 28 seconds.

__

In that time, Mary will have increased her distance from Hall Beach by ...

  d = (4/13 h)(25 km/h) = 100/13 km = 7 9/13 km

Her distance from Hall Beach when she passes Amaruk will be ...

  15 km + 7 9/13 km = 22 9/13 km ≈ 22.7 km . . . . . distance from Hall Beach

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