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A whale is swimming due north at a speed of 40 kilometers per hour. Just 6 kilometers away,

a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 83
kilometers per hour. How long will it be before they meet?

User Snapper
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2 Answers

1 vote

Answer:

O hrs and 30 minutes is the answer

Explanation:

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A whale is swimming due north at a speed of 40 kilometers per hour. Just 6 kilometers-example-1
User LemonPie
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8.0k points
3 votes

Answer:

about 0.04878 hours ≈ 2 minutes 56 seconds

Explanation:

You want the time until a whale-watching boat and a whale meet if the boat is traveling south at 83 km/h and the whale is traveling north at 40 km/h when they start 6 km apart.

Closing speed

The speed at which the gap between the boat and the whale is closed is the sum of their respective speeds:

closing speed = 83 km/h + 40 km/h = 123 km/h

Time

The time it takes to close the 6 km gap is ...

time = distance/speed

time = (6 km)/(123 km/h) ≈ 0.04878 h

Converted to minutes and seconds, that is about ...

0.04878 h ≈ 2 minutes 55.6 seconds

It will be about 2 minutes 56 seconds before the boat and whale meet.

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Additional comment

NOAA recommends a distance of at least 100 yards be maintained between a boat and a whale. In some areas, the recommended distance is 400 yards when approaching head-on. The recommended boat speed is 15 knots or less, about 28 km/h.

A whale is swimming due north at a speed of 40 kilometers per hour. Just 6 kilometers-example-1
User Albrnick
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7.2k points