Question

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?

Answer 1

9514 1404 393

Answer:

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

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