Arower travels upstream at 6km per hour and back to the starting point at 10km per hour. total journey takes 48 minutes. how far upstream did the rower go?

The rower traveled 3 km upstream

Explanation:

x = time it takes to go upstream

y = time it takes to go downstream

both time values are in hours

The rower goes some distance d for both the upstream and downstream journeys.

48 minutes = (48/60) hr = 4/5 hour

Going upstream

distance = rate*time

d = r*t

d = 6*x

x = d/6 is the time it takes to go upstream

Going downstream

distance = rate*time

d = r*t

d = 10*y

y = d/10 is the time it takes to go downstream

It takes d/6 hours to go upstream and d/10 hours to go downstream.

In total, it takes

d/6+d/10 = 5d/30+3d/30 = 8d/30 = 4d/15

hours to complete the round trip

Set this equal to 4/5 to get

4d/15 = 4/5

4d*5 = 15*4

20d = 60

d = 60/20

d = 3

This is the final answer.

Optionally you can keep going to find the values of x and y

x = d/6

x = 3/6

x = 1/2 hour, or 30 minutes, is spent going upstream

y = d/10

y = 3/10 of an hour, or 18 minutes, is spent going downstream

in total, 30+18 = 48 minutes is spent on the round trip.

“exterior angles of triangles. an exterior (or external) angle is the angle between one side of a triangle and the extension of an adjacent side. try this drag the orange dots on any vertex to reshape the triangle.” look to get to the answer i explained what it means and other things i hope it you .

They are somewhat similar