Question

Kaleb is standing in a field at point A, 30m from the wall, and can see a hole in thewall at point B, 40 m further along the wall, leading on to the road. Kaleb urgentlyneeds to get to the hole in the wall to stop Leonardo the prize ram escaping.Kaleb can run at 2m/sec inside the field. However, if he runs to the wall it will takehim 1 sec to get over the wall, and then he can run at 4m/s along the road to thehole in the wall.

Find:
Distance he will have to run along the road
How long in seconds will it take him to get to the hole
Compare it with the time it would take him to run all the way across the field in a straight line

Answer 1

Kaleb will have to run a distance of 40m along the road and it will take him 26 seconds to get to the hole. Running all the way across the field in a straight line would take him 15 seconds.

Step-by-step explanation:

• To find the distance Kaleb will have to run along the road, we need to find the total distance he will travel. Kaleb runs at 2m/s in the field and it will take him 1 second to get over the wall.
• So, he will cover a distance of 2m in the field and 4m on the road. Therefore, the distance he will have to run along the road is 40m.
• To find how long it will take him to get to the hole, we need to calculate the time it takes him to run across the field and run along the road.
• In the field, he will cover a distance of 30m at a speed of 2m/s, so it will take him 30/2 = 15 seconds.
• On the road, he will cover a distance of 40m at a speed of 4m/s, so it will take him 40/4 = 10 seconds.
• Therefore, the total time it will take him to get to the hole is 15 + 1 + 10 = 26 seconds.
• If Kaleb were to run straight across the field, he would cover a distance of 30m at a speed of 2m/s, so it would take him 30/2 = 15 seconds.
• Therefore, it would take him 15 seconds to run all the way across the field in a straight line.