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Boats and Streams
A man can row 24 km upstream and 30 km downstream in 15 hours. Also, he can row 20 km upstream and 40 km downstream in 14 hours. The rate of the current is: A) 5 km/hr B) 3.5 km/hr C) 4 km/hr D) 4.5 km/hr E) 3 km/hr
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- ratio of upstream speed= 24:20 = 6:5 let time taken be x
ratio of downstream speed = 30:40 = 3:4 , let time taken be y
now, 6x+3y = 15 hrs and 5x+4y = 14hrs
on simplifying x=2 , y= 1
so upstream = 24/6x = 2
downstream = 30/3y = 10
rate of current = 1/2(10-2)= 4km/hr - 6 years agoHelpfull: Yes(11) No(0)
- E) 3 km/hr
- 6 years agoHelpfull: Yes(0) No(6)
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