Question

1)
A boat travel 16km upstream & 24km downstream in 6 hours and
same boat travels 36km upstream & 48km downstream in
13hours. Find the speed of water current and speed of boat in
still water.​

Answer 1

Let speed of the boat in still water =x km/hr, and

Speed of the current =y km/hr

Downstream speed =(x+y) km/hr

Upstream speed =(x−y) km/hr

T=

S

D

x+y

24

+

x−y

16

=6 .......(1)

x+y

36

+

x−y

12

=6 .......(2)

Put

x+y

1

=u and

x−y

1

=v the above equation becomes,

24u+16v=6

Or, 12u+8v=3 ... (3)

36u+12v=6

Or, 6u+2v=1 ... (4)

Multiplying (4) by 4, we get,

24u+8v=4v … (5)

Subtracting (3) by (5), we get,

12u=1

⇒u=

12

1

Putting the value of u in (4), we get, v=

4

1

⇒

x+y

1

=

12

1

and

x−y

1

=

4

1

⇒x+y=12 and x−y=4

Thus, speed of the boat upstream =4 km/hr

Speed of the boat downstream =12 km/hr

Step-by-step explanation:

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Answer 2

Answer:

Speed of water current = 8km/hr.

Speed of boat = 4km/hr.

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