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:

• Sawmill factory
  Peter works in the factory. The bus stop is 10 km from the factory. Therefore, always when the bus arrives for Peter, the driver leaves factory and takes him to work. They are coming at the saw exactly at 8:00. Today the bus arrived 11 minutes earlier and
• 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 .
• The dormitory
  The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples.
• Journey
  The road from A to B measures 11.5 km. Firstly up the hill, then by level plane and then downhill. Tourist goes uphill at 3 km/h, on the plane 4 km/h and downhill 5 km/h. From point A to B went 2h 54 min back 3h 6 min. How long is the segment of level pl
• 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?
• 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?
• Years
  Susan is 3 years and as she will be old as Teodor now him will be 11. How old is Teodor today?
• Father and son
  Father is three times older than his son. 12 years ago father was nine times older than the son. How old are father and son?
• 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.
• 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?
• Factory and divisions
  The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?
• Equations - simple
  Solve system of linear equations: x-2y=6 3x+2y=4
• Three brothers
  The three brothers have a total of 42 years. Jan is five years younger than Peter and Peter is 2 years younger than Michael. How many years has each of them?
• Linear system
  Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720
• Theatro
  Theatrical performance was attended by 480 spectators. Women were in the audience 40 more than men and children 60 less than half of adult spectators. How many men, women and children attended a theater performance?
• Book
  Alena read a book at speed 15 pages per day. If she read twice as fast she should read a book four days earlier. How many pages have a book?
• Mushrooms
  Eva and Jane collected 114 mushrooms together. Eve found twice as much as Jane. How many mushrooms found each of them?