From city A to city B a train left with a speed of 50 km / h. 12 hours later, a helicopter took off from city A.

| July 15, 2021 | education

From city A to city B a train left with a speed of 50 km / h. 12 hours later, a helicopter took off from city A. whose speed is 7 times the speed of the train. and caught up with the train halfway from A to B. Find the distance between cities.

1. Find out how many kilometers the train traveled in 12 hours:

12 * 50 = 600 (km).

2. Determine with what speed the helicopter flies:

50 * 7 = 350 (km / h).

3. Catching up with the train in an hour, the flight will be 350 km from city A, then the train will already be 600 + 50 = 650 km from city A, and in another 1 hour the helicopter will fly 350 * 2 = 700 km, the train will already be 650 + 50 = 700 km from city A. So, at a distance of 700 km from city A, the helicopter caught up with the train.

4. Find the distance between cities:

700 * 2 = 1400 (km).

Answer: the distance between cities is 1400 km.



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