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A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream

Solution:

A steamer goes downstream and covers the distance between two ports is 3 hours.

It covers the same distance in 5 hours when it goes upstream.

The stream flows at 3 km/hr.

We have to find the speed of the steamer upstream.

Let the speed of the steamer in still water be x km/hr

The speed of the stream is 3 km/hr

Speed of the steamer downstream = (x + 3) km/hr

Speed of the steamer upstream = (x - 3) km/hr

According to the question,

Distance covered by steamer downstream in 3 hours = distance covered by steamer upstream in 5 hours.

3(x + 3) = 5(x - 3)

3(x) + 3(3) = 5(x) - 5(3)

3x + 9 = 5x - 15

By transposing,

5x - 3x = 9 + 15

2x = 24

x = 24/2

x = 12

Now, speed of the stream upstream = 12 - 3

= 9 km/hr

Therefore, the required speed of the stream upstream is 9 km/hr.

✦ Try This: A steamer goes downstream and covers the distance between two ports in 5 hours. It covers the same distance in 9 hours when it goes upstream. If the stream flows at 4 km/hr, then find what is the speed of the steamer upstream

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 101

A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream

Summary:

A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then the speed of the steamer upstream is 9 km/hr

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