DETERMINE THE SPEED OF STREAM AND OF BOAT
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Answers
Answer:
this is the answer according to me
Step-by-step explanation:
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Answer:
Let the speed of the stream be u kmph
let the speed of the boat be v kmph
speed upstream will be v- u kmph
speed downstream will be v + u kmph
30 km upstream in the duration = 30 /(v - u ) hrs
40 km downstream in the duration 34 /( v + u) hrs
44 / ( v + u ) +30 /(v - u) = hrs eq 1
Similarly
40 / ( v - u ) + 55 / ( v + u) = 13 hrs multiplied with 3/4
30 / (v - u ) +165/4 ( v + u )=39/4 eq 2
Now eq 1 -2 ( 44 - 165/4)/( v + u )=10-39/4 =1/4
= v + u = 11 eq 3
substitute this in eq 1 we get
44/11 + 30/( v - u ) = 10
= v - u = 30 /6 =5 eq 4
solving eq 3 and 4 we get v = 8 kmph and u = 3 kmph
Step-by-step explanation:
I hope this answer helps u