A boat covers 143 km upstream in 13 hours and the same distance downstream in 11 hours. What is the speed (in km/hr) of the boat in still water?
1). 10
2). 12
3). 14
4). 8
Let the speed of the boat and speed of the stream be x km/hr and y km/hr respectively
According to the question,
143/(x – y) = 13 ---- (i)
143/(x + y) = 11 ---- (ii)
On comparing both eq
11(x + y) = 13 (x – y)
⇒ 11x + 11y = 13x – 13y
⇒ 24y = 2x
⇒ x ? y = 12 : 1
∴ Speed of the boat in still water is 12 km/hr