Question
The speed of a boat in still water is 22 km/h and the
speed of the stream is 8 km/h. The boat first goes 60 km downstream and then travels upstream a distance which is x% less than the distance travelled downstream. If the total time taken for the entire trip is 5 hours, find the value of βxβ.Solution
ATQ, Distance covered by boat in upstream = [{1 β (x/100)} Γ 60] km Upstream speed of the boat = 22 β 8 = 14 km/h Downstream speed of the boat = 22 + 8 = 30 km/h According to the question; [{{1 β (x/100)} Γ 60} / 14] + (60 / 30) = 5 Or, {1 β (x/100)} Γ (60/14) = 5 β 2 Or, {1 β (x/100)} Γ (60/14) = 3 Or, 1 β (x/100) = 3 Γ (14/60) Or, 1 β (x/100) = 42/60 Or, 1 β (x/100) = 7/10 Or, (x/100) = 1 β 7/10 = 3/10 Or, x = 30
In which of the following cases court held that β
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