Question : A boy can row upstream at 12 km/hr and downstream at 23 km/hr. What is the speed of the stream?
Option 1: 3.5 km/hr
Option 2: 4.5 km/hr
Option 3: 6.5 km/hr
Option 4: 5.5 km/hr
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Correct Answer: 5.5 km/hr
Solution : Speed of the boat rowing upstream = Speed of the boat – Speed of the stream Speed of the boat rowing downstream = Speed of the boat + Speed of the stream Let the speed of the boat as b and the speed of the stream as s. ⇒ b – s = 12 (upstream speed) ⇒ b + s = 23 (downstream speed) Adding the two equations, ⇒ 2b = 35 ⇒ b = 17.5 km/hr Substituting b = 17.5 km/hr into the first equation, ⇒ s = b – 12 = 17.5 – 12 = 5.5 km/hr Hence, the correct answer is 5.5 km/hr.
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