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he speed of a power boat in still water is 144 km/hr and the speed of a stream is 54 km/hr. If Boat takes 0.2 hours more in upstream than to go downstream for the same distance, then find the distance travelled by boat in one directional way
33 km
22 km
44 km
55 km
None of these
- Speed of Boat in Still Water: 144 km/hr
- Speed of Stream: 54 km/hr
- Effective Speed Upstream: \(144 - 54 = 90\) km/hr
- Effective Speed Downstream: \(144 + 54 = 198\) km/hr
- Difference in Time for Same Distance (Upstream vs Downstream): 0.2 hours
To find the distance:
- Let Distance = \(d\) km.
- Time Upstream = \( \frac{d}{90} \) hours.
- Time Downstream = \( \frac{d}{198} \) hours.
The equation for time difference according to the problem:
$$ \frac{d}{90} - \frac{d}{198} = 0.2 $$
Solving for \(d\):
- Equate and Solve:
$$\frac{d (198 - 90)}{90 \times 198} = 0.2$$
$$\frac{108d}{17820} = 0.2$$
$$108d = 3564$$
$$d = \frac{3564}{108}$$
$$d = 33 \text{ km}$$
- Option 1: 33 km
Correct Answer: 33 km
By: Parvesh Mehta ProfileResourcesReport error
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