The speed of a boat in still water is 16 km/h, the time taken by the boat to cover a distance of 18 km upstream is equal to the
time taken by the boat to travel 30Km downstream. What is the speed of the stream?
This questions was previously asked in
SSC MTS 6th July 2022 Shift-3
Explanation:
- The speed of the boat in still water is 16 km/h.
- The time for 18 km upstream equals the time for 30 km downstream.
- Let the speed of the stream be x km/h.
- Upstream speed = 16 - x km/h.
- Downstream speed = 16 + x km/h.
Using the relation:
\[
\frac{18}{16-x} = \frac{30}{16+x}
\]
Solving the equation:
- Cross-multiply:
\[
18(16+x) = 30(16-x)
\]
- Expand and simplify:
\[
288 + 18x = 480 - 30x
\]
- Combine and solve for x:
\[
48x = 192 \implies x = 4
\]
- Option 3: 4 km/h is the correct answer.
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By: santosh