A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.

Solution:

A steamer goes downstream and covers the distance between two ports in 5 hours.

It covers the same distance in 6 hours when it goes upstream.

We have to find the speed of the steamer in still water.

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

The speed of the stream is 1 km/hr

Speed of the steamer downstream = (x + 1) km/hr

Speed of the steamer upstream = (x - 1) km/hr

According to the question,

Distance covered by steamer downstream in 5 hours = distance covered by steamer upstream in 6 hours.

5(x + 1) = 6(x - 1)

5(x) + 5(1) = 6(x) - 6(1)

5x + 5 = 6x - 6

By transposing,

6x - 5x = 6 + 5

x = 11

Therefore, the required speed of the steamer in still water is 11 km/hr.

✦ Try This: A steamer goes downstream and covers the distance between two ports in 3 hours while it covers the same distance upstream in 7 hours. If the speed of the stream is 1.5 km/hr, find the speed of the steamer in still water.

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

NCERT Exemplar Class 8 Maths Chapter 4 Problem 107

A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water

Summary:

A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, the speed of the steamer in still water is 11 km/hr.

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