Question

A steamer goes downstream from one port to another in 9 hours.It covers the same distance upstream in 10 hours.If the speed of the stream be 1km/hr,find the speed of steamer in still water and distance

Answer 1

this is the answer sorry for bad handwriting

Answer 2

Given, speed of the stream = 1 km/hr

Let the speed of steamer in still water be xkm/hr.

Speed of the steamer downstream = Speed of steamer in still water + Speed of the stream = (x + 1) km/hr

Speed of the steamer upstream = Speed of steamer in still water – Speed of the stream = (x – 1) km/hr

Distance covered by the steamer downstream in 9 hours = 9 (x + 1) km (. :

 Distance = Speed × Time)

Distance covered by the steamer upstream in 10 hours = 10 (x – 1) km.

Distance covered by steamer downstream in 9 hours = Distance covered by steamer upstream in 10 hours

∴ 9 (x + 1) = 10 (x – 1)

⇒ 9x + 9 = 10x – 10

⇒ 9x – 10 = – 10 – 9

⇒ – x = – 19

⇒ x = 19

∴ Speed of steamer in still water is 19 km/hr.

Distance between the two ports = 9 (x + 1) km = 9 (19 +1) km = 9 × 20 km = 180 km