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### Question

The speed of a boat in still water, the upstream speed of the boat and the downstream speed of the boat form an A.P.(Arithmetic Progression) whose middle term is 2. What is the speed of the boat in still water?

**A**

2 units.

**B**

3 units.

**C**

4 units.

**D**

$1{2/3}$ units.

**Soln.**

**Ans: a**

Let the speed of the boat in still water be u and the speed of the stream be v. The three speeds are u - v, u and u + v. They are in an A.P. with a common difference equal to v, and u as its middle term. Since u is also the speed of the boat in still water, the required answer is: 2.