A boat travels 30 km upstream in a river in the same period of time as

1.	A boat travels 30 km upstream in a river in the same period of time as it takes to travel 50 km downstream. If the rate of stream be5km/hr,find the speed of the boat in still water.
Answer» Answer: 20km/hr Step-by-step explanation: let SPEED of boat be x km/hr and TIME taken be t hours now for upstream x-5=30/t -(1) for downstream x+5=50/t -(2) DIVING (1) and (2),we GET (x+5)/(x-5)=30/50 5x+25=3x-15 x=20km/hr

A boat travels 30 km upstream in a river in the same period of time as it takes to travel 50 km downstream. If the rate of stream be5km/hr,find the speed of the boat in still water.

Answer»

Answer:

20km/hr

Step-by-step explanation:

let SPEED of boat be x km/hr

and TIME taken be t hours

now for upstream

x-5=30/t -(1)

for downstream

x+5=50/t -(2)

DIVING (1) and (2),we GET

(x+5)/(x-5)=30/50

5x+25=3x-15

x=20km/hr