Question

6. A boat goes certain distance downstream and then
return 3/4 th of the distance upstream.It takes 3/2 of
the time in upstream than in downstream. If boat
increases its speed by 33 1/3 % and cover a distance of
60 km in downstream and then return upstream in 16
hours, find increased speed of boat?
a) 6 km/hr. b) 4km/hr c) 9 km/hr
d) 8 km/hr e) 7 km/hr​

Answer 1

Answer:

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Answer 2

Increased boat speed =  8 km/Hr

Step-by-step explanation:

Let say Downstream distance = 4D  km

then upstream Distance = (3/4)4D = 3D  km

Speed of Boat = B km/hr

Speed of Stream = S km/hr

(3/2)(4D/(B + S))  = 3D/(B -S)

=> 2/(B + S) = 1/(B - S)

=> 2B - 2S = B + S

=> B = 3S

Downstream speed = 4S

Upstream Speed = 2S

boat increases its speed by 33 1/3 %

=> boat Speed =  3S + S = 4S  

Time taken to coverd 60 km downstream = 60/3S  = 20/S

Time taken to coverd 60 km upstream = 60/5S  = 12/S

32/S = 16 hrs

=> S = 2

Boat Speed = 4S = 8 km/hr

Increased boat speed =  8 km/Hr

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