A boat goes 35 Km. upstream and 55 km down-stream in 12 hours. In 10 hours it can go 30 km. upstream and 44 km. down-stream. Determine the speed of the stream and that of the boat in still water.
Please answer if possible.
Answers
let speed of boat in still water=uKm/hr
let speed of boat in still water=uKm/hrlet speed of boat in stream =v Km/hr
let speed of boat in still water=uKm/hrlet speed of boat in stream =v Km/hrupstream =u−v
let speed of boat in still water=uKm/hrlet speed of boat in stream =v Km/hrupstream =u−vdownstream =u+v
forming equations according to question
35u−v+55u+v=12 eqn(1)
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=12
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=10
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a5
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅b
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b11
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b211
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2b=11
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2b=11a=5⋅b11=5⋅1111=5
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2b=11a=5⋅b11=5⋅1111=5u−v=5&u+v=11
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2b=11a=5⋅b11=5⋅1111=5u−v=5&u+v=112u=16
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2b=11a=5⋅b11=5⋅1111=5u−v=5&u+v=112u=16u=8
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2b=11a=5⋅b11=5⋅1111=5u−v=5&u+v=112u=16u=8u−v=5
35u−v+55u+v=12 eqn(1)30u−v+44u+v=10 eqn(2)let u−v=a&u+v=b35a+55b=1235⋅b+55⋅a=12⋅a⋅b eqn (3)30a+44b=1015b+22⋅a=5⋅a⋅b eqn (4)a⋅b=15⋅b+22⋅a535⋅b+55⋅a=12⋅15⋅b+22⋅a5175⋅b+275⋅a=180⋅b+264⋅a11⋅a=5⋅ba=5⋅b1135⋅b+55⋅5⋅b11=12⋅5⋅b11⋅b35⋅b+25⋅b=60⋅b21160⋅b=60⋅b2b=11a=5⋅b11=5⋅1111=5u−v=5&u+v=112u=16u=8u−v=5v=8−5=3