Question
Download Solution PDFArjun takes 5 hrs. to swim upstream of 40 km where as he takes only 2 hrs. to swim downstream of 20 km. Find the speed of Arjun in still water.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Arjun takes 5 hrs to swim upstream 40 kms
Arjun takes 2hrs to swim downstream 20 kms
Let the speed of Arjun (in still water) be x km/hr
Let the speed of the stream be y km/hr
Speed when going upstream = (x – y)
Speed when going downstream = (x + y)
According to question,
{40/(x – y)} = 5
⇒ x - y = 8 ---- (i)
{20 /(x + y)} = 2
⇒ x + y = 10 ---- (ii)
By solving both equation
x = 9 km/hr, y = 1 km/hr
∴ Speed of Arjun in still water is 9 km/hrLast updated on Jun 2, 2025
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