Question

A boat travels 16 km upstream and 24 km downstream in 6 hours and the same boat goes 36 km upstream and 48 km downstream in 13 hrs. Then find the speed of the boat and speed of the stream.

Answer 1

Answer:

speed of the boat upstream = 4 km/hr

Speed of the boat downstream = 12 km/hr

Step-by-step explanation:

Let the speed of the boat in still water be B

Let the Speed of the boat in the stream  be S.

Downstream speed = (B+S) km/hr

Upstream speed = (B-S) km/hr

Now we are give that

a boat travels 16 km upstream and 24 km downstream in 6 hours the same boat travels 36 km upstream and 48 km downstream in 13 hours

Now

So,  --1

  --2

Now solve both equations:

Putting

Putting

So, equation becomes:

  ---3

 --4

Now solve these equation using substitution method

Substitute the value of u from 3 in 4

Now substitute the value of v in 3 to get value of u

So,   --5

,  --6

Solving 5 and 6 we get

B = 4 km/hr

S = 12km/hr

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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