It takes a man 6 hours to row a boat 24km upstream and covers a distance of 36 km downstream in 6 hours. What will be the speed of the man in still water

Answers

Answer:

5 km/h

Step-by-step explanation:

Speed of man in still water = s

Speed of current = c

Speed upstream = s – c

Distance upstream = 24 km

Time upstream = 6 hours

Speed downstream = s + c

Distance downstream = 36 km

Time downstream = 6 hours

Speed Equation

speed = distance/time

distance = speed × time

d = st

We write a distance equation for upstream and a second distance equation for downstream.

Upstream:

d = st

24 = (s – c) × 6

Divide both sides by 6 and switch sides:

s – c = 4 Equation 1

Downstream:

d = st

36 = (s + c) × 6

Divide both sides by 6 and switch sides.

s + c = 6 Equation 2

We now have two equations in two variables. We use equations 1 and 2 as a system of equations.

Answer:Step-by-step explanation: