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The ratio of speed of boat in still water and the current speed is 4:3, distance covered by boat in downstream speed and upstream speed is 126km each. find the speed of boat in still water if total time taken by boat in both downstream and upstream speed is 48 hours ?
16 km/hr
9 km/hr
10.5 km/hr
3 km/hr
12 km/hr
- Let's say the speed of the boat in still water is 4x and the speed of the current is 3x.
- Downstream speed (boat + current) is 4x + 3x = 7x.
- Upstream speed (boat - current) is 4x - 3x = x.
- Distance covered downstream is 126 km, and upstream also 126 km.
- Time taken downstream = Distance/Speed = 126/7x hours.
- Time taken upstream = 126/x hours.
- Total time for both directions is 48 hours.
- Therefore, 126/7x + 126/x = 48.
- Solving, we get 18x = 21, so x = 21/18.
- Speed of boat in still water = 4x = 4 * (21/18) = 14/3 = 4.67 km/hr.
Then simplifying gives 14 km/hr for x = 3, so the resolved form doesn't fit with common options.
- .
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