High School

Akil rows at 46.5 km/h in still water. If the river is running at 15.5 km/h, it takes him 90 minutes to row to a place and back. How far is the place? (in km)

Answer :

Total distance of the journey is approximately 23.25 kilometers away.

To find the distance to the place, we need to consider the speed of the boat in still water and the speed of the river.

Let's break down the information given:

- Akil rows at a speed of 46.5 kmph in still water.

- The river is flowing at a speed of 15.5 kmph.

- It takes Akil 90 minutes to row to the place and back.

First, we need to determine the speed of the boat relative to the ground. This can be found by subtracting the speed of the river from the speed of the boat in still water.

Speed of the boat relative to the ground = Speed of the boat in still water - Speed of the river

= 46.5 kmph - 15.5 kmph

= 31 kmph

Since Akil takes 90 minutes to row to the place and back, we can divide this time by 2 to find the time it takes to row to the place.

Time to row to the place = 90 minutes / 2

= 45 minutes

Now, we can use the formula distance = speed × time to find the distance to the place.

Distance to the place = Speed of the boat relative to the ground * Time to row to the place

= 31 kmph * (45 minutes / 60)

= 23.25 km

Therefore, the place is located approximately 23.25 kilometers away.

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