Question

The boats a nd b start towards each other from two places 108 km apart speed of the boat a nd b in stil water are 12km /hr nd 15km/h in respectively if a proceeds down nd b up the stream they will meet after

Answer 1

If A proceeds down and B up the stream they will meet after 4 hours.

Step-by-step explanation:

Let the speed of the stream be denoted as “x” km/hr and the time after which both the boats A and B will meet be “t” hrs.

It is given that,

The distance between the two boats = 108 km

Boat A is moving downstream and its speed in still water is 12 km/hr

So, the speed of boat A = [12 + x] km/hr

And,

Boat B is moving upstream and its speed in still water is 15 km/hr

So, the speed of boat B = [15 - x] km/hr

According to the question, we can write the eq. as,

[12 + x]t + [15 - x]t = 108 ….. [Formula: Distance = Speed * Time]

⇒ 12t + xt + 15t – xt = 108

⇒ 27t = 108

⇒ t = 108/27

⇒ t = 4 hrs

Thus, both the boats will meet after 4 hours.

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Also View:

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A man can row 10 km downstream in 15 minutes and the same distance upstream in 20 minutes. Find the speed of the boat in still water and the speed of the stream.

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The speed of the boat in still water is 15km/h.it takes 4 1/2 hours to travel 30 km down the stream and back to the starting point. Find the speed of the stream.

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Answer 2

Answer:

4

Step-by-step explanation:

Let the speed of stream = y km/h  

Since Boat A is moving downstream with 12 km/h  

Speed of boat A  

= (12+y)(12+y)km/h  

Since Boat is moving upstream with 15km/h

Speed of boat B  

= (15−y)(15−y) km/h  

Both the boats are moving in opposite direction

Relative speed of A and B  

=12+y+15−y12+y+15−y

=27 km/h

Time=DistanceRelative Speed=10827=4DistanceRelative Speed=10827=4 hours