Question

A steamer, going downstream in a river, covers the distance between two towns in 20 hours Coming back
Apstream, it covers this distance in 25 hours. The speed of water is 4 km/h. Find the distance between
the two towns
V Hint. First find the speed of the steamer in still water.]​

Answer 1

Answer:The speed of the boat in still water is 36 km/h

The distance between the two towns is 800 km

Step-by-step explanation:

Let the speed of the boat in still water be x

The speed of water is 4 km/h

So, the speed of water upstream = (x +4)

The speed of water downstream = (x-4)

Distance = Speed *Time

Upstream: Distance = 20* (x+4)

Downstream: Distance = 25 *(x-4)

Since distance is same for both,

20*(x+4) = 25 * (x-4)

20x + 80 = 25x - 100

180 = 5x

x =180/5

x = 36

The speed of the boat in still water is 36 km/h

Therefore, the distance between the two towns =

20(x +4)

= 20(36 + 4)

=20 * 40 = 800 km.