Question

A boat takes 8 hours to move downstream from point p to Q and to return to point P moving upstream of the speed of the stream is 4 km/hr and the Speed of the boat in still water is 8 km/hr what is the distance between point P and Q​

Answer 1

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Answer 2

The distance between point P and Q is 96 km.

Given:

• A boat takes 8 hours to move downstream from point p to Q.
• Return to point P moving upstream of the speed of the stream is 4 km/hr.
• Speed of the boat in still water is 8 km/hr.

To find:

• What is the distance between point P and Q?

Solution:

Formula /Concept to be used:

• Speed= Distance/time
• Speed of upstream= Speed of boat in still water-speed of stream.
• Speed of downstream= Speed of boat in still water+speed of stream

Step 1:

Time take to go downstream from P to Q=8 hours.

Speed of boat going downstream=(8+4) km/hr

Speed of boat going downstream= 12 km/hr.

Step 2:

Find the distance between P and Q.

$12 = \frac{PQ}{8}$

or

PQ= 12×8

PQ= 96 km

Thus,

The distance between point P and Q is 96 km.

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