Question

Team members are participating in a scavenger hunt they meet at the starting point and ride their bikes 2 kilometers they find the first clue that says the second clue is 10 hectometers away when they reach the second clue they are told to go back 300 dekameters will the team members reach the point where they started after they follow the instructions for the second clue

Answer 1

Yes, the team members will reach the point, where they started.

Explanation:

Let us convert our given distance in meters.

1 km = 1,000 meter.

2 km = 2*1,000 meters = 2,000 meter.

1 hectometer = 100 meters,

10, hectometers = 10*100 meters = 1000 meters.

1 Decameter = 10 meters.

300 decameters = 300*10 meters = 3,000 meters.

Let us Assume that team members traveled in a straight line.

We have been given that participants found 1st clue after 2 km and then went 10 hectometer further, so the participants are 2 km plus 10 hectometer away from starting point.

`\text{The distance between starting point and 2nd clue}=2000\text{ meter}+1000\text{ meter}`

`\text{The distance between starting point and 2nd clue}=3000\text{ meter}`

Since the second clue asked the participants to go back 300 decameters, so we will subtract 300 decameters from the total distance covered to reach 2nd clue.

`\text{The change in position}=3,000\text{ meters}-3,000\text{ meters}`

`\text{The change in position}=0`

Therefore, the team members will reach the point where they started after they follow the instructions for the second clue.