1.A boatman is at A which is 4.5 km from the nearest point B on a straight shore BM. He wishes to reach in minimum time at point C situated on the shore 9 km from B. How far from C should he land if he can row at the rate of 6 kph and can walk at the rate of 7.5 kph

1. 4.15 km
2. 3.25 km
3. 3.0 km
4. 4.0 km

2. A wall "h" meters high is 2 m away from the building. The shortest ladder that can reach the building with one end resting on the ground outside the wall is 6 m. How high is the wall in meters?

1. 2.14
2. 2.34
3. 2.24
4. 2.44

3. An LRT train 6 m above the ground crosses a street at 9 m/s at the instant that a car approaching at a speed of 4 m/s is 12 m up the street. Find the rate of the LRT train and the car separating one second later.

1. 4.46 m/s
2. 3.64 m/s
3. 4.24 m/s
4. 3.94 m/s

4. Water is pouring into a swimming pool. After t hours, there are t + t gallons in the pool. At what rate is the water pouring into the pool when t = 9 hours?

1. 8/7 gph
2. 7/6 gph
3. 6/5 gph
4. 5/4 gph

5. If the sum of two numbers is C, find the minimum value of the sum of their squares.