Math, asked by rkgamer1430, 3 months ago

A boat covers a certain distance in 2 hours, while it comes back in 3 hours. If the
speed of the stream is 4 kmph, what is the boat’s speed in still water?​

Answers

Answered by amaan674
2

Step-by-step explanation:

LET THE SPEED IN STILL WATER BE X MPH

UPSTREAM SPEED = X- 4 MPH

DOWNSTREAM SPEED = X+4 MPH

SINCE DISTANCE COVERED IS SAME BOTH WAYS

3 (X-4) = 2 (X+4)

3X - 12 = 2X+8

X= 20 MPH ANSWER

CHECK

2 X (20 +4) = 48 MILES

3 X (20–4) = 48 MILES

SHORT CUT

SPEED OF BOAT = Y (T2 +T1) / (T2 - T1)

Y = STREAM SPEED , T2 = UPSTREAM TIME , T1 = DOWNSTREAM TIME

= 4 (5) (1) = 20 MPH ANSWER

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