a boat takes 18 hours to travel 2 km upstream and 3 km downstream
Answers
Answer:
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Answer:
Answer
Correct option is
A
6,2
Let the speed of the boat in still water be x km/hr
Let the speed of the stream be y km/hr
The speed of the boat downstream = (x+y) km/hr
The speed of the boat upstream = (x−y) km/hr
Time=
Speed
Distance
6 hours to travel 8 km upstream and 32 km downstream,
i. e 6=
x−y
8
+
x+y
32
(1)
7 hours to travel 20 km upstream and 16 km downstream.
i.e 7=
x−y
20
+
x+y
16
(2)
Let
x−y
1
=a and
x+y
1
=b
∴6=8a+32b ...(3)
7=20a+16b ...(4)
On solving the equations, we get a=
4
1
and b=
8
1
x−y
1
=
4
1
and
x+y
1
=
8
1
⟹4=x−y
⟹8=x+y
Add the above (2) eqn we get
12=2x
x=6 and y=2
So, the speed of the boat in still water = 6 km/hr
The speed of the stream = 2 km/hr
Step-by-step explanation:
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