uso. A motor boat can travel sokes nostresand 28 km downstream in a Th

1.	uso. A motor boat can travel sokes nostresand 28 km downstream in a Thows. Itcan pres travel o 1 km na team and satanLin 5 hours. Find the speed of bont in IRLwater and the speed of stream
Answer» let the speed of the boat be x and the speed of stream be y 30/x-y + 28/x+y =7 21/x-y + 21/x+y=5 therefore 1/x-y=a,1/x+y=b 30a+28b=7...(1)×21 21a+21b=5.....(2)×30 630a+588b=147 630a+630b=150 (1)-(2/ -42b=-3 b=1/14 substituting the value of b in(1) a=1/6 a=1/x-y 1/6=1/x-y x-y=6...(.3) b=1/x+y 1/14=1/x+y x+y=14......(4) (3)+(4) 2x=20 x=10 x+y=14 y=14-10=4 therefore speed of boat is 10km/hr and speed of stream is 4km/hr

uso. A motor boat can travel sokes nostresand 28 km downstream in a Thows. Itcan pres travel o 1 km na team and satanLin 5 hours. Find the speed of bont in IRLwater and the speed of stream

Answer»

let the speed of the boat be x and the speed of stream be y

30/x-y + 28/x+y =7

21/x-y + 21/x+y=5

therefore 1/x-y=a,1/x+y=b

30a+28b=7...(1)×21

21a+21b=5.....(2)×30

630a+588b=147

630a+630b=150

(1)-(2/

-42b=-3

b=1/14

substituting the value of b in(1)

a=1/6

a=1/x-y

1/6=1/x-y

x-y=6...(.3)

b=1/x+y

1/14=1/x+y

x+y=14......(4)

(3)+(4)

2x=20

x=10

x+y=14

y=14-10=4

therefore speed of boat is 10km/hr and speed of stream is 4km/hr