The boat goes 30 km upstream and 44 km downstream in 10 hours. By taking 3 hours more , it can go 40 km upstream and 55 km downstream. Determine the speed of stream and that of the boat in still water.Pls answer fast
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Time taken for 30 km upstream and 44 km downstream is 10 hours. Time taken for 40 km upstream and 55 km downstream is 13 hours. So, the correct answer is “3 kmph”.
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Now, 30u+44v=10
⇒ 30u+44*1/11=10
⇒ 30u= 10-4
⇒ u= 6/30
⇒ u=1/5
Now, 1/x-y= u
⇒ 1/x-y=5
⇒ x-y=5
⇒ x= 5+y ---- (7)
Now, v= 1/x+y
⇒ 1/11= 1/x+y
⇒ x+y=11 --- (8)
⇒ 5+y+y=11 (from 7)
⇒ 2y= 6
⇒ y= 3
Also x = 5+y
⇒ x = 5+3
x = 8
Therefore speed of boat is x km/h or 8km/h and speed of still water is y km/h or 3km/h.
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