Question

Два поезда номер 5 и 40 отошли одновременно от станции Жуковка и следует в одном направлении через 30 минут оказалось что номер 5 идет впереди и его скорость 85 км\ч сможет ли поезд номер 40 обогнать поезд номер 5 если будет ехать со скоростью 75км\ч?

Answer 1

1) 85 - 75 = 10(км/ч) - скорость удаления поезда №5 от поезда №40
   А это значит, что каждый час поезд №5  будет проходить на 10км больше, чем поезд №40
2) 30мин. = 1/2ч
   10 * 1/2 =(на) 5(км) впереди был поезд №5 через 30 минут.
Ответ: не сможет поезд №40 обогнать поезд №5.

Answer 2

Problem Analysis

We have two trains, Train 5 and Train 40, that departed simultaneously from the Zhukovka station. After 30 minutes, it was discovered that Train 5 was ahead and traveling at a speed of 85 km/h. The question is whether Train 40, traveling at a speed of 75 km/h, will be able to overtake Train 5.

Solution

To determine if Train 40 can overtake Train 5, we need to compare their positions after a certain amount of time. Since Train 5 has a head start of 30 minutes, we need to calculate the distance it has traveled during that time.

Calculating the Distance Traveled by Train 5

To calculate the distance traveled by Train 5 in 30 minutes, we can use the formula:

Distance = Speed × Time

Given that the speed of Train 5 is 85 km/h and the time is 30 minutes (0.5 hours), we can calculate the distance traveled by Train 5:

Distance_Train5 = 85 km/h × 0.5 h

Calculating this, we find that Train 5 has traveled 42.5 kilometers.

Comparing the Positions of Train 5 and Train 40

Now that we know Train 5 has traveled 42.5 kilometers, we can compare its position with that of Train 40. If Train 40 is able to cover this distance and continue at a higher speed, it will be able to overtake Train 5.

Conclusion

To summarize, Train 5 has a head start of 30 minutes and has traveled 42.5 kilometers. Train 40, traveling at a speed of 75 km/h, will be able to overtake Train 5 if it covers this distance.