Question
Download Solution PDFThe speed of a boat along and against the current is 22 km/hr and 18 km/hr respectively. Then the speed of the current (in km/hr) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The speed of the boat along the current is 22 km/hr, and the speed of the boat against the current is 18 km/hr.
Formula used:
Let the speed of the boat in still water be B km/hr and the speed of the current be C km/hr.
The speed of the boat along the current (downstream) is B + C, and the speed of the boat against the current (upstream) is B - C.
Calculation:
We are given:
B + C = 22
B - C = 18
Step 1: Add both equations:
(B + C) + (B - C) = 22 + 18
⇒ 2B = 40
⇒ B = 20 km/hr
Step 2: Subtract the second equation from the first:
(B + C) - (B - C) = 22 - 18
⇒ 2C = 4
⇒ C = 2 km/hr
∴ The speed of the current is 2 km/hr.
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