Motion 2

At 10 o'clock started from place A car speed at 90 km/h. Twenty minutes after starting another car from place B at a speed 60 km/h . Distance places A and B is 120 kilometers. What time and where do they meet?

Result

T = 10:56 h
x =  84 km

Step-by-step explanation:

$$\begin{gathered} v_1=90\text{ km/h } \\ {v}_2=60\text{ km/h } \\ s=120\text{ km } \\ {t}_1=10.00\text{ h } \\ {t}_2=t_1+20\mathrm{/}60=10+20\mathrm{/}60={\displaystyle \frac{31}{3}}\doteq 10.3333\text{ h } \\ {v}_1\cdot (t-t_1)+v_2\cdot (t-t_2)=s \\ 90\cdot (t-10)+60\cdot (t-10.333333333333)=120 \\ 150t=1640 \\ t={\displaystyle \frac{164}{15}}\doteq 10.933333 \\ T=t=10.9333=10.93333=10:56\text{ h} \end{gathered}$$

$x=v_1\cdot (t-t_1)=90\cdot (10.9333-10)=84\text{ km}$

Try another example

Related math problems and questions:

• Two places
  The distance to the places is 60 km. From place A a pedestrian came out at a speed of 4 km/h and at the same time a car drove against him from place B. What was the speed of the car if the pedestrian met him in 90 minutes?
• 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?
• 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?
• Two cities
  Cities A and B are 200 km away. At 7 o'clock from city A, the car started at an average speed of 80 km/h, and from B at 45 min later, the motorcycle is started at an average speed of 120 km/h. How long will they meet, and at what distance from point A wil
• Train from Brno
  First train started from Brno at 8 am at 60 km per hour. Second train started from Opava at 7 o'clock at the speed of 40 kilometers per hour. In how many hours and how far from cities trains meet when the distance of cities is 200 kilometers.
• Cars 2
  Opava is 360 km distance from Prešov. At 8:00 hour, two cars started against each other from this cities at average speeds 88 km/h and 121 km/h. What hour will it meet and what distance it's travel if the car started from Prešov is faster?
• Two ships
  The distance from A to B is 300km. At 7 am started from A to B a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10h 24min. Determine how far they will meet from A and when they reach the destination.
• Average speed
  Michal went out of the house by car at a speed of 98 km/h. He came into the goal place for 270 minutes. Determine the distance between the two places.
• Constant motion
  The car has undergone constant motion 120 km in 1 hour 30 minutes. Determine its average speed. Determine how long the car drove in the first 20 minutes and 50 minutes from the start of the move.
• Two trains
  Two trains go at each other. First at speed 40 km/h and the second at speed 60 km/h. At what distance will be 30 minutes before they will meet?
• Against each other
  From two points A, B distant 23 km at the same time started two cars against each other at speeds 41 km/h and 65 km/h. How long does cars meet and what distance passes each of them?
• Znojmo
  From Znojmo to Brno started the truck with a trailer at an average speed 53 km per hour. Against him, 14 minutes later from Brno started the car with an average speed of 1.2-times greater than the truck. How long and how far from Znojmo, they meet if the
• Two friends
  Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then?
• Two cars
  From the town A to town B started two cars. The first at 7:00 at average speed 60 km per hour, the second at 10:00 at average speed 100 km per hour. The first car will not stay in B, and on the way back meet the second car at half way from A to B. At what
• Škoda cars
  At 8:30 am, Škoda 120 started from Prievidza at 60 km/h in the direction of Bratislava. At 9:00 started from Prievidza at the same direction Škoda Rapid at 90 km/h. Where and when will Škoda Rapid catch up Skoda 120?
• Car - road
  Car started at 11:40 at speed 54 km/h from A and to B arrived at 12:20. Determine the distance A and B.
• Vacation
  Parents piggybacking children on vacation to its grandmother and grandfather at a city distant 150 kilometers. They agreed to meet halfway. Parents will be travel at 90 km/h, grandmother and grandfather at 60 km/h. Parents depart at 12:00 hours. When gran