Amotor boat whose speed is 20 km/hr in still water, takes 1 hr more
to go 48 km upstream than to return downstream to the same spot.
Find the speed of the stream.
to go 48 km upstream than to return downstream to the same spot.
Find the speed of the stream.
Add an Answer
More Questions From This User See All
Answers & Comments
Answer:
Let, the speed of the stream be x km/hr
Speed of boat in still water =20 km/hr
∴Speed of boat with downstream 20+x km/hr
∴ Speed of boat with upstream 20−x km/hr
As per given condition
20−x
48
−
20+x
48
=1
⟹48[
20−x
1
−
20+x
1
]=1
⟹[
(20−x)(20+x)
20+x−20+x
]=
48
1
⟹
400−x
2
2x
=
48
1
⟹96x=400−x
2
⟹x
2
+96x−400=0
⟹x
2
+100x−4x−400
⟹x(x+100)−4(x+100)=0
⟹(x−4)(x+100)=0
Either, x=4 or x=−100
∵ Speed cannot be negative ∴x=4 km/hr is considered.
∴ the speed of the stream =4 km/hr
Answer:
Sorry brother I can't install telegram .
Because if some problems...
You keep it up .