A boat goes 24 km upstream and 28 km downstream in 6 hrs. It goes 30 km upstream and 21 km downstream in hrs. Find the speed of the boat in still water and also speed of the stream

Matching exercise

    
Match the items on the right to the items on the left.
STEP 1
STEP 2
STEP 3
STEP 4
Speed = distance/time


Let the speed of boat be ‘a’ and speed of stream be ‘b’


Relative speed of boat going upstream = a – b


Relative speed of boat going downstream = a + b

Given, boat goes 24 km upstream and 28 km downstream in 6 hrs. It goes 30 km upstream and 21 km downstream in hrs
Q4a.png
Q4b.png
Q4c.png
From (1) and (2), we get


a = 10 km/hr and b = 4 km/hr