Question

A motorboat goes downstream on a river and covers a certain distance between two towns in 6 hours. It covers this distance upstream in 8 hours. If the speed of the stream is 2km/h find the difference between the two towns.

Answer 1

Let the speed of the boat be x km/h and the distance between the coastal lines be 'd' km.

Then Downstream,

$\sf \small \frac{ d_{1} }{x + 5} = 3$

$\sf \small d_{1}= 3x + 15$

For Upstream,

$\sf \small \: \frac{ d_{2} }{x - 2} = 4$

$\sf \small \: d_{2} = 4x - 8$

Distance is same

So,

$\sf \small \: d_{1} = d_{2}$

$\sf \small3x + 15 = 4x - 8$

$\sf \small4x - 3x = 15 + 8$

$\sf \small \: x = 23$

So the speed of boat is 23 km/h

• 3x + 15
• 3 × 23 + 15
• 69 + 15
• 84 km/h

So the total distance is 84 km/h

Answer 2

Step-by-step explanation:

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