Where and when

The truck left Kremnica at 11:00 h at a speed of 60km/h. At 12:30 h, the passenger car started at an average speed of 80km/h. How many kilometers from Kremnica will the passenger car reach truck, and when?

Result

s =  360 km
T = 17:00 hh:mm

Step-by-step explanation:

$$\begin{gathered} s_1=s_2 \\ {v}_1=60\text{ km/h } \\ {v}_2=80\text{ km/h } \\ {v}_1\cdot (t-11.00)=v_2\cdot (t-(12+30\mathrm{/}60)) \\ 60\cdot (t-11.00)=80\cdot (t-(12+30\mathrm{/}60)) \\ 1200t=20400 \\ t=17 \\ s=v_1\cdot (t-11.00)=60\cdot (17-11.00)=360\text{ km } \\ \text{ Verifying Solution: } \\ {s}_2=v_2\cdot (t-12.50)=80\cdot (17-12.50)=360\text{ km } \\ {s}_1=s_2=s \end{gathered}$$

$T=t=17=17:00\text{ hh}:\text{mm}$

Try another example

Related math problems and questions:

• Passenger car and truck
  From Kutna Hora left at 11:00 clock a truck at 60 km/h. At 12:30 behind him started passenger car at average speed 80 km/h. At what time and how far from Kutna Hora overtake a passenger car truck?
• Motorcyclist
  From Trutnov, the motorcyclist started at an average speed of 60km/hour. At 12.30hrs the passenger car was started at a speed of 80km/hour. How many hours and at what distance from Trutnov will car catch a motorcycle?
• Motion
  From two different locations distant 232 km started against car and bus. The car started at 5:20 with average speed 64 km/h. Bus started at 7:30 with average speed 80 km/h. When they meet? How many kilometers went the bus?
• Truck and car
  At 6h45min, the truck started at a speed of 36 km/h. At 7h30m behind it a passenger car. Find the passenger car's average speed to catch the truck 72 km away from the factory.
• The tourist
  The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up and how many kilometers will he go?
• Motion 2
  At 10 o'clock started from place A car speed at 90 km/h. 20 minutes after started from the place B at speed 60 km/h another car. Distance places A and B is 120 kilometers. What time and where they meet?
• Znojmo
  From Znojmo to Brno started truck with a trailer at an average speed 53 km per hour. Against him 14 minutes later from Brno started car with an average speed of 1.2-times greater than the truck. How long and how far from Znojmo, they meet if the distance
• Cars motion
  From point A car start at the speed of 90 km/h. Against it departs from the point B at the same time another car at 60 km/h. For how long and where they met if the distance between A and B is 180 km?
• Truck
  In 7 hours started from town Krnov truck at speed 40 km/h. Passenger car started against it in 8 hours 30 minutes from the city of Jihlava at speed 70 km/h. Distance between this two cities is 225 km. At what time and at what distance from Krnov this two
• Two cities
  The distance between cities A and B is 132 km. At 9.00 am, the cyclist started the bike at an average speed of 24 km/h, and at 10.00 am started from the B cyclist at an average speed of 30 km/h. How long and far from A will they both meet?
• Two trains meet
  From A started at 7:15 express train at speed 85 km/h to B. From B started passenger train at 8:30 in the direction to A and at speed 55 km/h. The distance A and B are 386 1/4 km. At what time and at what distance from B the two trains meet?
• Truck PRG-BA
  Truck driving on highway from Prague to Bratislava at average speed of 72 km/h. At the moment when the truck passes 54 kilometer from Prague passenger car departs from Prague which travel to Bratislava at speed 90 km/h. When and where (at waht highway kil
• Car overtaking
  A passenger car travels at a speed of 30 m/s, and before it travels freight truck that drives at a constant speed of 10 m/s. Within 30 meters of the truck, the driver of the car finds out that the truck can not overtake. That's why it starts braking with
• Passenger car
  Passenger car travels 1 km for 2.3 minutes, a truck during a 50 seconds long. How much is the speed of the truck less?
• Average
  What is the average speed of the car, where half of the distance covered passed at speed 66 km/h and the other half at 86 km/h.
• Crossroads
  A passenger car and an ambulance come to the rectangular crossroad, the ambulance left. Passenger car at speed 39 km/h and ambulance at 41 km/h. Calculate such a relative speed of the ambulance move to the car.
• Warehouse cars
  From the warehouse started truck at speed 40km/h. After 1hour 30mins started from the same place same direction a car at speed 70 km/h. For how long and at what distance from the warehouse overtake a truck?