Question

Speed of boat in still water is 10 km/he. Distance travelled upstream and downstream is 26km and 14km respectively. What is the speed of current?​

Answer 1

Let the speed of the stream be x km/hr

Let the speed of the stream be x km/hrThen speed downstream = (10 + x) km/hr

Let the speed of the stream be x km/hrThen speed downstream = (10 + x) km/hrSpeed upstream

Let the speed of the stream be x km/hrThen speed downstream = (10 + x) km/hrSpeed upstream = (10−x)km/hr∴26(10+x)=14(10−x)⇒260−26x=140+14x⇒40x=120⇒x=3km/hr

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Answer 2

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Let the speed of the stream be x km/hr

Then speed downstream = (10 + x) km/hr

Speed upstream =(10 - x) km/hr

$\frac{26}{10 + x} = \frac{14}{10 - x}$

$260-26x = 140 + 4x$

$40x = 120$

$x = 3 km/hr$