Find the speed of a boat in still water if the boat goes 12 km h along the stream and 4 km h against...........

Quantitative Aptitude (MTS) Time & distance

Find the speed of a boat in still water if the boat goes 12 km/h along the stream and 4 km/h against the stream.

This questions was previously asked in

SSC MTS 18th July 2022 Shift-1

10 km/h

8 km/h

7 km/h

9 km/h

- To find the speed of the boat in still water, denote it by \( b \), and the speed of the stream by \( s \).

- When going along the stream, speed is \( b + s = 12 \) km/h.

- When going against the stream, speed is \( b - s = 4 \) km/h.

- Adding these two equations: \( b + s + b - s = 12 + 4 \) gives \( 2b = 16 \).

- Solving for \( b \) gives \( b = 8 \) km/h.

- Option 2: 8 km/h is correct.

- Option 1: 10 km/h - Incorrect, doesn't satisfy both conditions.

- Option 3: 7 km/h - Incorrect, doesn't satisfy both conditions.

- Option 4: 9 km/h - Incorrect, doesn't satisfy both conditions.

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