Question

Type IV. Problems based on speed
28. A steamer covers the distance between two parts down the stream in 2 hours. It covers the same distance up the
stream in 3 hours. If the speed of the stream be 3 km/hour. then find the speed of the steamer in still water.
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Answer 1

Step-by-step explanation:

$\sqrt[18]{49 {5}^{1} } 2 |8|$

Answer 2

Answer:

Solution---

Let the speed of the steamer in still water be x km/h. Then,

the speed downstream = (x + 3) km/h and the speed upstream = (x - 3) km/h. The distance covered in 2 hours while going downstream = 2(x + 3) km. The distance covered in

hours while going upstream = 3(x -3) km. But, each of these distances is the distance between the two ports which is the same.

2(x + 3) = 3(x - 3)

2x+6= 3x-9

x = 15

Checkk....

speed of the steamer in still water = 15 km/h.

The speed of the steamer in still water 5 km/h.

The speed downstream = (15+ 3) km/h = 18 km/h. The speed upstream = (15- 3) km/h = 12km/h. The distance covered in 2hours while going downstream = (18x 2) km = 36 km.

The distance covered in 3 hours while going upstream = (3 x 12)km = 36km. Thus, both the distances are equal.