Question

# Question 101 Solve the following: A streamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours, when it goes upstream. If the stream flows at 3 km/h, then find what is the speed of the steamer upstream?

Solution

## Let speed of the steamer in still water be x km/h. Speed of the stream =3km/h Now, speed of the steamer downstream=(x+3) km/h and speed of the steamer upstream=(x-3) km/h According to the question, Distance covered in 3 h by steamer downstream=Distance covered in 5 h by steamer upstream ∴3(x+3)=5(x−3) [∵distance=speed×time]⇒3x+9=5x−15⇒3x−5x=−15−9⇒−2x=−24⇒x=−24×(−12)=12km/h Hence, the speed of the steamer upstream is (12-3), i.e. 9km/h.

Suggest corrections