A motorboat that has a speed of 10km/hour

Video Transcript

Hello. The caution is taken from physics and the ocean is a we will flow from the north to south at a speed of 10m/s, 10 km per are relative to the bank. So this is north north to the south, a 10 kilometer But okay, so this is a situation, a motorboat headache, has a speed of 30 km/h. So motorboat Velocity velocity of whatever is 10 km and velocity of motor bodies 30 kilometer. But uh, okay, so official man Motors North for two R and then motors south back to its starting point. Okay, how long did that don't trip take? Not for to us. Okay, so he's moving in the one second. How long did the return trip take? Okay, so he is moving north. Okay, in within two. So the spirit in the northwest direction is equal to win, it is equal to vm minus we are, so that is equal to 20 kilometer. Okay, During that time, So the distance is equal to time it will take is to, so distance is equal to 40 km in the similar way when he's coming from the north to south, so the distance is 40 km and its speed is southward direction. Okay, this is northward direction, this is southward direction 30 plus 10, so both are in the same direction. Okay, so it will like up downstream, so that this is adding to it, so that is 40 kilometer, well are okay, so that will give you, this is a net speed. Now, what will be the value of distance is 40 km of time? It will take its distance by velocity. So that is one Sudan answer for this question is one. Our assumption is the correct answer. So hope this clears your doubt and thank you. Just try to understand the situation. You can easily answer the negotiations. So hope this.

A motorboat, whose speed in still water is 10 km/h goes 20 km upstream and come back in a total time of 320 minutes. Calculate the speed of stream.

1. 5 km/h
2. 6 km/h
3. 7 km/h
4. 9 km/h
5. 10 km/h

Answer (Detailed Solution Below)

Option 1 : 5 km/h

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Let the speed of stream be x

Total time taken = 320 minutes = 16/3 hours

Speed of motorboat = 10km/h

⇒ Upstream speed = (10 – x) km/h

⇒ Time taken = 20/(10 – x)

⇒ Downstream speed = (10 + x) km/h

⇒ Time taken = 20/(10 + x)

According to question,

⇒ {20/(10 + x)} + {20/(10 – x)} = 16/3

1600 – 16x2 = 1200

16x2 = 400

x2 = 25

x = 5

∴ x = 5 km/h

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Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A motorboat, moving at a speed of 10 km/hour, left a pier traveling against the current of the river. Forty-five minutes after the boat left the pier, the motor of the boat broke,       Log On