## Number of Civil, Electrical, and Mechanical Engineers and Their Average Ages

**Problem**

In an organization there are CE’s, EE’s and ME’s. The sum of their ages is 2160; the average age is 36; the average age of CE’s and EE’s is 39; the average age of EE’s and ME’s is 32 and 8/11; the average age of the CE’s and ME’s is 36 and 2/3. If each CE had been 1 year older, each EE 6 years and each ME 7 years older, their average age would have been greater by 5 years. Find the number of CE, EE, and ME in the group and their average ages.

## A tank is supplied by two pipes A and B and emptied by a third pipe C

**Situation**

A tank is supplied by two pipes *A* and *B* and emptied by a third pipe *C*. If the tank is initially empty and all pipes are opened, the tank can be filled in 20 hours. If the tank is initially full and *A* and *C* are opened, the tank can be emptied in 4 hours. If the tank is initially full and *B* and *C* are opened, the tank can be emptied in 2 hours. Pipe *A* supplies 50 liters per minute more than *B*.

1. Find the rate of pipe *A* in liters per minute.

A. 120 | C. 110 |

B. 130 | D. 140 |

2. Find the rate of pipe *C* in liters per minute.

A. 170 | C. 150 |

B. 160 | D. 140 |

3. Find the capacity of the tank in liters.

A. 12,000 | C. 11,500 |

B. 12,500 | D. 13,000 |

## Two Gamblers Play Until One is Bankrupt: Chance That the Better Player Wins

**Problem**

Player *M* has Php1, and Player *N* has Php2. Each play gives one the players Php1 from the other. Player *M* is enough better than player *N* that he wins 2/3 of the plays. They play until one is bankrupt. What is the chance that Player *M* wins?

A. 3/4 | C. 4/7 |

B. 5/7 | D. 2/3 |