A boat goes downstream and covers the distance between two ports in 4hours and returns upstream in 5hours if the water corrent is 2km/h. Find the speed of the boat in still water. And also find the distance between two ports.
Pls help
Answers
Answer: Speed = 18 km/hr and Distance = 80 km
Step-by-step explanation:
Let the distance between two port be
′
x
′
km.
And speed of boat in still water be
′
S
′
km/hr.
According to question,
In downstream,
x=(S+2)x4 ........(1) as, (Distance= Speed x Time)
Similarly,
In upstream,
x=(S−2)x5 ........(2)
From (1) & (2),
(S+2)4=(S−2)5
=> 4S+8=5S−10
=> S=18 km/hr.
Let speed of the streamer in still water= x km/hr
Speed of downstream =(x+2)km/hr
Distance between the ports =4(x+2)km.... (i)
Speed of upstream =(x-2)km/hr
Distance between the ports =5(x−2)km....(ii)
from Equation (i) and (ii)
4(x+2)=5(x−2)
4x+8=5x−10
x=18
∴ Distance between two ports =4(x+2)
=4(18+2)km=80 km
Answer:
80 is the correct answer dear
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