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### Question

The speed of a steamer in still water, the upstream speed of the steamer and the downstream speed of the steamer form an A.P.(Arithmetic Progression) whose common difference is 1. What is the speed of the river?

**A**

1 units.

**B**

2 units.

**C**

3 units.

**D**

$1{1/3}$ units.

**Soln.**

**Ans: a**

Let the speed of the steamer in still water be u and the speed of the river 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. Since v is also the speed of the river, the required answer is: 1.