While going upstream, a boat takes 6 hours to cover a certain distance. It takes only 4 hours to cover the same distance going downstream. If the speed of the boat is 8 km/hr, find the speed of the stream.
Answers
Answer:
Assume distance is LCM(6,4) = 12 kms
Assume distance is LCM(6,4) = 12 kmsUpstream speed = 2kmph
Assume distance is LCM(6,4) = 12 kmsUpstream speed = 2kmphDownstream speed = 3kmph
Assume distance is LCM(6,4) = 12 kmsUpstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 kmph
Assume distance is LCM(6,4) = 12 kmsUpstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 kmphSpeed of river = (3 - 2)/2 = 1/2 kmph
Assume distance is LCM(6,4) = 12 kmsUpstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 kmphSpeed of river = (3 - 2)/2 = 1/2 kmphIf speed of river is 3 kmph, then :
Assume distance is LCM(6,4) = 12 kmsUpstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 kmphSpeed of river = (3 - 2)/2 = 1/2 kmphIf speed of river is 3 kmph, then :Distance = 12 x 3 /(1/2 ) = 72 kms
answer= 1.6
Step-by-step explanation:
If the speed of the stream is x km/hr, the speed of the boat while it is going upstream is (8−x) km/hr. Since it takes 6 hours to cover the distance going upstream, the distance covered can be expressed as (8−x)×6 km.
Similarly, express the distance covered by the boat going downstream in terms of x.
The speed of the boat while it is going downstream is (8+x) km/hr. Since it takes 4 hours to cover the distance going downstream, the distance covered can be expressed as (8+x)×4 km.
Since the distance covered by the boat remains the same whether it is going upstream or downstream, equate (8−x)×6 and (8+x)×4, and solve it for x.