The two motor ships go towards each other from two piers, the distance between which is 162 km.

| February 24, 2021 | education

The two motor ships go towards each other from two piers, the distance between which is 162 km. One motor ship, the speed of which is 45 km / h, left for 45 minutes. earlier than the other, whose speed is 36 km / h. How many hours after the departure of the first ship will they meet?

Let’s designate the time until the meeting, as required in the task through x (hour). Then the second motor ship passed only (x – 3/4) hour, here 45 minutes = 3/4 hours. Knowing the speed of both ships, and the time until the meeting, we will make the following equality:

45 * x + 36 * (x – 3/4) = 162; 45 * x + 36 * x = 162 + 27; 81 * x = 189; whence x = 189/81 = 21/9 = 7/3 = 2 1/3 hours = 2 hours 20 minutes.

The time before the meeting of the second boat is early: 2 hours 20 minutes – 45 minutes = 1 hour 35 minutes = 1 7/12 hours.

Check: 45 * 2 1/3 + 36 * 1 7/12 = 45 * 7/3 + 36 * 19/12 = 105 + 57 = 162 (km).



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