Question
The boat's downstream and upstream speeds are 24 km/hr and
16 km/hr respectively. If the time taken to cover a distance of (x + y) km upstream with stream speed increased to double its normal value is 12 hours, what is the average of x and y?Solution
ATQ,
Let, speed of boat in still water and stream speed be B km/hour and s km/hour, respectively.
So, (B + s) = 24 … (i)
Also, (B – s) = 16 … (ii)
Solving equation (i), and (ii), we get,
B = 20 km/hour
s = 4 km/hour
According to question,
(x + y)/(B – 2s) = 12
(x + y) = 12 × (20 – 2 × 4) = 12 × 12 = 144 km
Therefore, average value of x and y = (x + y)/2 = 144/2 = 72 km
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