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A man can row 60 km upstream in the same time as 120 km downstream. If it can row 300 km upstream in 10 hours, find the speed of the boat in still water.
30 km/hr
25 km/hr
45 km/hr
20 km/hr
50 km/hr
- The speed of the boat in still water is denoted as 'b' km/hr and the speed of the current is 'c' km/hr.
- Equation 1: For the 300 km upstream journey in 10 hours, the speed upstream is calculated as \( (b - c) \). So \( b - c = 30 \) km/hr.
- Equation 2: For the 60 km upstream and 120 km downstream with equal time, let 't' be the time. Thus, \( \frac{60}{b - c} = \frac{120}{b + c} \).
- Use Equation 1: \( b - c = 30 \). Set it into Equation 2 and solve to get \( b + c = 60 \).
- Solve the system of equations:
- \( b - c = 30 \)
- \( b + c = 60 \)
- Adding them gives \( 2b = 90 \) leading to \( b = 45 \) km/hr.
- ?? Correct Answer: Option 3, 45 km/hr.
-
By: Parvesh Mehta ProfileResourcesReport error
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