Bus stop

Determine at what time the bus leaves from the bus stop outside the village, if you know that when you leave home at 8:00 and go at speed 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the bus stop 10 minutes before departure. Calculate the distance from the village to bus stop.

Result

t = 9:07
s =  3.8 km

Solution:

s = 3 (t-8.00+9/60)
s = 4 (t-8.00-10/60)

s = 3•(t-8.00+9/60)
s = 4•(t-8.00-10/60)

60s-180t = -1413
60s-240t = -1960

s = 19/5 ≈ 3.8
t = 547/60 ≈ 9.116667

Calculated by our linear equations calculator.

Try another example

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar math problems:

• Blackberries
  Daniel, Jolana and Stano collected together 34 blackberries. Daniel collected 8 blackberries more than Jolana, Jolana 4 more than Stano. Determine the number blackberries each collected .
• 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 is 386 1/4 km. At what time and at what distance from B the two trains meet?
• Father 7
  Father is 6 times older than his son. After 4 years, the father will only be 4 times older. What are their present ages?
• Mother and daughter
  The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now?
• Journey to school
  On the way to school I went steady step. In the first half of the journey, I counted every second step, in the second half every third. How many steps I do when I went to school if I counted double step are 250 more than three steps?
• Family
  Mom is 42 years old and her daughters 13 and 19. After how many years will mother as old as her daughter together?
• Time passing
  6 years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and mother 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?
• Ravens
  On two trees sitting 17 ravens. If 3 ravens flew from first to second tree and 5 ravens took off from second tree then the first tree has 2 times more ravens than second tree. How many ravens was originally on every tree?
• The larger
  The larger of two numbers is nine more than four times the smaller number. The sum of the two numbers is fifty-nine. Find the two numbers.
• Dining room
  The dining room has 11 tables (six and eight seats). In total there are 78 seats in the dining room. How many are six-and eight-seat tables?
• Men, women and children
  On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
• Two equations
  Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
• Summerjob
  Three students participated in the summerjob. Altogether they earn 1780, -. Peter got a third less than John and Paul got 100,- more than Peter. How much got every one of them?
• Football season
  Dalibor and Adam together scored 97 goals in the season. Adam scored 9 goals more than Dalibor. How many goals scored each?
• 13 tickets
  A short and long sightseeing tour is possible at the castle. Ticket for a short sightseeing circuit costs CZK 60, for a long touring circuit costs CZK 100. So far, 13 tickets have been sold for 1140 CZK. How much did you pay for tickets for a short tour?
• Linear system
  Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720