Speed, Time, Distance : CAT 2016 Online Preparation
Question 4 the day : November 17, 2003
The question for the day is from the topic Speed, Time and Distance.
Question
A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.
 3 kmph
 8 kmph
 4 kmph
 None of these
Correct Answer is 4 kmph . Choice (3) is right.
Explanatory Answer
Let x and y be the upstream and downstream speed respectively.
Hence, 50/x + 72/y = 9 and 70/x + 90/y = 12
Solving for x and y we get x = 10 km/hr and y = 18 km/hr
We know that Speed of the stream = 1/2 * (downstream speed  upstream speed)
= 1/2 (18  10) = 4 km/hr.
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