Problem: A boat sailing against the current takes 8 hours to travel 32km. While sailing with the current, It takes only 4 hours to travel the same distance. What is the speed of boat? What is the speed of the current?
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Correct Answer: 6 and 2
Explanation:
Speed of boat = x; Speed of current = y
While traveling against current, it can sail (x — y)km/hr & while sailing with. the current, it cantravel (x + y) km/hr.
8(x —y) = 32……….. (i)
4(x +y) = 32………… (ii)
From equation no(i) 8(x —y) = 32
=> x—y=4 ……….. (iii)
From equation no(ii) 4(x +y) = 32
=> x+y=8……….. (iv)
Adding and subtracting (iii) & (iv)
x = 6
y = 2