The ferry departed 180 km from the coast, when an airplane took off after it, the speed of which was 10 times higher.

| January 9, 2021 | education

The ferry departed 180 km from the coast, when an airplane took off after it, the speed of which was 10 times higher. At what distance from the coast will the plane catch up with the ferry?

The ferry departed 180 km from the coast, and after it the plane took off at a speed that exceeds the speed of the ferry by 10 times. Let’s find the distance at which the plane will catch up with the ferry.
Let the speed of the ferry be x km / h, then the speed of the plane is 10 * x km / h.
The distance that the plane will fly is 10 * x * t, where t is the time of movement. The distance that the ferry will travel after the plane takes off is x * t.
Based on the conditions, we will compose and solve the equation:
10 * x * t = x * t + 180;
9 * x * t = 180;
x * t = 20. After the plane took off, the ferry traveled 20 km, which means that the plane caught up with the ferry 200 km from the land.



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