Pedestrian up-down hill

Pedestrian goes for a walk first at plane at 4 km/h, then uphill 3 km/h. Then it is in the middle of the route, turns back and goes downhill at speed 6 km/h. Total walk was 6 hours. How many kilometers went pedestrian?

Correct result:

s =  24 km

Solution:

6 = a+b+c+d
s = 4a+3b+6c+4d
4a=4d
3b=6c
a=0


6 = a+b+c+d
s = 4•a+3•b+6•c+4•d
4•a=4•d
3•b=6•c
a=0

a+b+c+d = 6
4a+3b+6c+4d-s = 0
4a-4d = 0
3b-6c = 0
a = 0

b = 4
c = 2
d = 0
s = 24

Our linear equations calculator calculates it.

Try another example

Showing 0 comments:

Next similar math problems:

• Wavelength
  Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s.
• Father and son
  Father is 48 years old, son 23. When will be the father twice older than a son?
• Eight years ago
  The son asks his father how old he is. My father said: In ten years, I will have twice as much as I had eight years ago.
• Bob traveled
  Bob traveled 20 meters to Dave's house. He arrived in 3 minutes. What was his average speed for the trip.
• Glass
  Trader ordered from the manufacturer 200 cut glass. The manufacturer confirmed the order that the glass in boxes sent a kit containing either four or six glasses. Total sent 41 boxes. a) How many boxes will contain only 4 glasses? b) How many boxes will c
• Family
  Family has 4 children. Ondra is 3 years older than Matthew and Karlos 5 years older than the youngest Jane. We know that they are together 30 years and 3 years ago they were together 19 years. Determine how old the children are.
• Trees
  Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
• Threesome
  Dana, Dalibor and Michael have a combined 57 years. Dana is five years older than Dalibor, but Dana is five years younger than Michael. Determine how old is Dana, Dalibor and Michael.
• Double-track
  On double-track express met with a freight train. Express travel at speed 72 km/h, a freight train at speed 36 km/h. After what time period will be from 9 km apart?
• Pooja
  Pooja and Deepa age is 4:5, 4 years back it was 8:11. What is the age of Pooja now?
• Father and daughter
  When I was 11 my father was 35 year old. Now, father has three times older then me. How old is she?
• Parking
  120 vehicles parking on the morning. Pasenger car is charged 20 CZK, 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and how many buses stood in the parking?
• Steamer
  At 6 hours 40 minutes steamer sailed from the port at speed 12 km/h. At exactly 10 hours started sail motorboat at speed 42 km/h. When motorboat will catch steamer?
• 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 the point A i
• Sebastian
  From Kovalov Sebastian walks at 6 km / h started at 8:00 in the direction of Kuty. From Kuty, the godfather is driving at 50 km/h and started at 8:30. The distance is 24 km. When and where grandfather will take Sebastian to the car.
• 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?
• Two planes
  Two planes flying from airports A and B, 420 km distant against each other. Plane from A took off 15 minutes later and flies at an average speed of 40 km/h higher than the plane from B. Determine the average speed of this two aircraft if you know that it