The distance between points A and B is 175 km. A commodity train covers this distance in 3, 6 hours, and a fast train in 2, 4
| September 14, 2021 | education
The distance between points A and B is 175 km. A commodity train covers this distance in 3, 6 hours, and a fast train in 2, 4 hours. In how many hours will the trains meet if they simultaneously leave these points towards each other?
Distance – 175 km.
Commodity – for 3, 6 hours
Fast – in 2, 4 hours.
How long will the trains meet?
1) 175 / 3.6 = 1750/36 = 875/18 (km / h) speed of the commodity.
2) 175 / 2.4 = 1750/24 = 875/12 (km / h) speed of the ambulance.
3) 875/18 + 875/12 = 1750/36 + 2625/36 = 4275/36 (km / h) approach speed.
4) 175: 4275/36 = 175 * 36/4275 = 7 * 36/171 = 252/171 = 1 81/171 (h) will meet.
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