Point A and B are 17km apart if you follow the path. A troop of boy scouts leaves point A at 11:00 AM. They are all carrying packs and travel 4km/h until they reach point C at 13:25. From point C , if they want to reach point B by 14:30, how fast will they have to go?

Answer 1

To find the time it took for the boy scouts to travel from point A to point C, we subtract the starting time from the arrival time:

13:25 - 11:00 = 2 hours and 25 minutes

We convert the 25 minutes to hours by dividing by 60:

25 minutes ÷ 60 = 0.4167 hours

So the total time it took to travel from point A to point C is 2 + 0.4167 = 2.4167 hours.

The distance between point A and C is 17 km.

Their speed is 4 km/h, so we can use the formula time = distance / speed to find their travel time from point A to C:

2.4167 hours = 17 km / speed

To find their speed, we rearrange the formula:

speed = distance / time

speed = 17 km / 2.4167 hours

speed = 7.04 km/h

To find out how fast they will have to go from point C to point B, we need to find the remaining distance:

Distance from point C to point B = Total distance - Distance from point A to point C

Distance from point C to point B = 17 km - 17 km

Distance from point C to point B = 0 km

Since the remaining distance is 0 km, they don't have to go anywhere.