Question

A person can row 8 km upstream and 24 km downstream in 4 hours. He can row 12 km downstream and 12 km upstream in 4 hours. Find the speed of the person in still water as also the speed of the current

Answer 1

LET SPEED OF BOAT IN STILL WATER BE X AND THAT OF CURRENT BE Y (BOTH IN KMPH)
TIME = DISTANCE / SPEED
SO 8/(X-Y)+24/(X+Y)=4 OR 2/P+6/Q=1 WHERE P=X-Y Q=X+Y
ALSO 12/(X+Y)+12/(X-Y)=4 OR 3/P+3/Q=1

SOLVING THE EQUATIONS WE HAVE P=4 Q=12
SO X=8 Y=4 
SO SPEED OF PERSON IN STILL WATER IS 8 KMPH AND THAT OF CURRENT IS 4 KMPH

Answer 2

Answer:

yes that's right we will get the speed of person in still water is 8km per hr and speed of the current is 4km per hr