UGC-NET-Paper1

### Step 1: Define Variables
Let the speed of the boat in still water be **10 km/h**.
Let the speed of the stream be **y km/h**.

- **Downstream speed** = (10 + y) km/h
- **Upstream speed** = (10 - y) km/h

### Step 2: Form Equation
Time taken to travel **26 km downstream** = **26 / (10 + y)**
Time taken to travel **14 km upstream** = **14 / (10 - y)**

Since both journeys take the same time:

26 / (10 + y) = 14 / (10 - y)

### Step 3: Solve for y
Cross multiply:

26(10 - y) = 14(10 + y)

260 - 26y = 140 + 14y

260 - 140 = 26y + 14y

120 = 40y

y = 3

### Final Answer:
**(3) 3 km/hr**