A boat takes 30 minutes less to travel 12 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is-

Question: A boat takes 30 minutes less to travel 12 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is-

Solution:
Let,
The speed of the stream = x mph

Then,
Speed downstream = (10 + x) mph
Speed upstream = (10 - x) mph

ATQ,
{12/(10 - x) - 12/(10 + x)} = 30/60
⇒ (24x × 60) = 30(100 - x²)
⇒ x² + 48x - 100 = 0
⇒ (x + 50)(x - 2) = 0
∴ x = 2 mph