Question

A boat travels with a velocity of 20 m/s to the east during 3 minutes and encounters a 10 m/s current flowing to the south and take that direction with this velocity during 7 minutes. What's the total distance covered?

Answer 1

Answer: The total distance covered by the boat is 7800 meters.

Step-by-step explanation:

1. Calculate the Distance Covered Heading East:

- The boat travels to the east with a velocity of 20 m/s.

- The time it travels eastward is 3 minutes, which needs to be converted to seconds because velocity is in meters per second. There are 60 seconds in a minute, so 3 minutes is
`\( 3 * 60 = 180 \)` seconds.

- The distance formula is
`\( \text{distance} = \text{velocity} * \text{time} \)`.

- Calculate the distance traveled to the east:
`\( 20 \text{ m/s} * 180 \text{ s} = 3600 \text{ meters} \)`.

2. Calculate the Distance Covered Heading South:

- After encountering the current, the boat takes the direction of the current and travels south with a velocity of 10 m/s.

- The time it travels southward is 7 minutes, which also needs to be converted to seconds:
`\( 7 * 60 = 420 \)` seconds.

- Calculate the distance traveled to the south:
`\( 10 \text{ m/s} * 420 \text{ s} = 4200 \text{ meters} \)`

3. Calculate the Total Distance Covered:

- The total distance covered by the boat is the sum of the distances covered in both directions.

- Add the eastward and southward distances:
`\( 3600 \text{ meters} + 4200 \text{ meters} = 7800 \text{ meters} \)`.