Two motor ships departed from two piers at the same time towards each other. One went at a speed of 48

| June 18, 2021 | education

Two motor ships departed from two piers at the same time towards each other. One went at a speed of 48 km / h, and the other at 35 km / h. What is the distance between the piers if 9 hours after they left it was 459 km.

Let us present a diagram of the distance at each hour of movement of motor ships.

So, every hour of movement of motor ships their convergence occurs at (48 + 35) km / h. Further, the motor ships cover the distance, approaching in 9 hours at a distance equal to (48 + 35) km / h * 9 hours, and only 459 km will remain between them.

And the sum of all these plots represents the entire distance between the marinas. Let’s do all the steps and find this distance.

(48 + 35) km / h * 9 hours + 459 km = 83 * 9 km + 459 km = 747 km + 459 km = 1206 km.

Answer: 1206 km.



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