Question

Greyson lives 500 meters North of the highway I-287. The Harding Twp Library is 1800 meters South of highway I-287 on Sand Spring Road. If Greyson walks at a casual 1.4 m/s from the library to his house, how long would it take?

Answer 1

1642.86 seconds

Step-by-step explanation:

Constant Speed Motion

If an object is moving in a constant direction and travels same distances x in same times t, it's speed is constant and can be computed as

`\displaystyle v=(x)/(t)`

The time taken to travel x is computed by

`\displaystyle t=(x)/(v)`

We know Greyson must walk 500 meters to reach the highway and then 1800 meters to reach The Harding Twp Library. The total distance is 2300 meters. It's done with a constant speed of 1.4 m/s, so the time taken to get there will be

`\displaystyle t=(2300)/(1.4)=1642.86\ seconds`

It's equivalent to 1642.86/60, approximately 27 minutes of walk