science
Grade-11
Easy
Question
If a boat moves on the river with the speed of 50 km/h and also moves in other directions relatively with a speed of 30 km/h. What is the speed of the boat?
- 20
- 15
- 30
- 40
Hint:
40 m/s
The correct answer is: 40
Given:
The relative velocity of the boat as it travels downstream V1 = 50kmh-1
The relative velocity of the boat as it travels upstream V2 = 30kmh-1
To find:
The actual speed of the boat =?
Solution:
Case 1: when a boat flows downstream
V1 = Vboat + Vriver
50 = Vboat + Vriver -1
Case 2: when a boat flows upstream
V2 = Vboat - Vriver
30 = Vboat - Vriver -2
From equation 1 and 2
2Vboat = 80 ms-1
Vboat = 40ms-1
Answer:
The actual velocity of the boat is 40ms-1
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