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An athlete takes 110 seconds to run around a race track. She then runs around the same track at double the speed. Find how long she will take.

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4 votes

Answer:

55 seconds.

Explanation:

Given:

• The athlete takes 110 seconds to run around a race track.

• She then runs around the same track at double the speed.

To find:

• The time she takes to run around the track at double the speed.

Solution:

Let the speed of the athlete be v. The time taken to run around the track at speed v is 110 seconds.

When the speed is doubled, the new speed is 2v. The time taken to run around the track at speed 2v is:

time = distance / speed = 110 / 2v = 55 / v

Therefore, the athlete takes 55 seconds to run around the track at double the speed.

Alternative solution:

The time taken to run around the track is inversely proportional to the speed. This means that if the speed is doubled, the time taken will be half. So, the athlete will take 110 / 2 = 55 seconds to run around the track at double the speed.

User Anish Sapkota
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