Question

A boat goes 3 km upstream and 44 km downstream in 10 hours. In 13 hours it can go 40km upstream and 50 km downstream. Determine the speed of the stream and that of the boat in still water.​

Answer 1

Step-by-step explanation:

let X be speed of boat in still water and Y be speed of stream

downstream = (x+y)km/hr

upstream =(x-y)km/hr

TIME = DIST/SPEED

ATGC-1

TIME UPSTREAM=3/X-Y

TIME DOWNSTREAM = 44/X+Y

3/X-Y + 44/X+Y = 10

Answer 2

Answer:

Speed of boat in water = x km/hr

&

Speed of stream = y km/hr

Now,

Speed of boat at downstream

(x+y) km/hr

Speed of boat at upstream

(x-y) km/hr

..Time = distance / speed

Time taken to cover 30km upstream

→ 30/ x-y

Time taken to cover 44km downstream

→ 44/x+y

so,

30/x-y – 44/x+y ― 10

Time ↓