Question

If I walk at 5 km/hour; I miss a train by 7 minutes. If however, I walk at 6 km/hour I reach the station 5 minutes before the departure of the train. Then the distance between my house and the station is

Answer 1

5(t+7) = 6(t-5)
solve for t

Answer 2

5t+35=6t-30
35+30=t
t=65

Answer 3

it just a start
after u got the value of t, subtitute the value of t to lefft side or right side the equation above, u will get its distance

Answer 4

5(t+7)= 5(65+7)=360

Answer 5

smart :)

Answer 6

okay , but one thing it is direct or indirect proprrotion

Answer 7

actually, it is an inverse proportion... also it just the formula of distance (d) if given speed(s) and its time (t) :
d = s t or
s = d/t

Answer 8

k

Answer 9

but time is in minutes and speed is in km/hour

Answer 10

opss... my bad, not read it correctly
7 m = 7/60 h
5 m = 5/60
so, it should be
5(t + 7/60) = 6(t - 5/60)
solve fot t again :)

Answer 11

wait i solve it

Answer 12

actually, it just /60 from ur answer before

Answer 13

yup

Answer 14

so, 360/60 = 6 km

Answer 15

t= 13/12

Answer 16

5(t + 7/60) = 6(t - 5/60)
5t + 35/60 = 6t - 30/60
35/60 + 30/60 = 6t - 5t
65/60 = t
or t=13/12 u are right :)

Answer 17

now,
vat

Answer 18

vat ?

Answer 19

next step

Answer 20

subtitute t to one of side :
5(t + 7/60) = 6(t - 5/60)

Answer 21

according to the statement
can we write the equation as
5(t + 7/60) - 6(t - 5/60)=10/60

Answer 22

how come u got 10/60, in right side ?

Answer 23

oops now i did mistke

Answer 24

1 : 1
:)

Answer 25

k

Answer 26

i thing i didn't understand why we have to put the value of t in 5(t + 7/60) or 6(t - 5/60)
First of all we didn;t need to assume the distance between my house and the station is

Answer 27

wait can we do in this way
the difference in time is 12 minutes
since time = distance/speed,

d/5 = d/6 + (12/60)
d = 6

Answer 28

the distance if u walk late is same is u walk by high speed
the difference just to speed and using it's time

Answer 29

d1 = d2

Answer 30

yup

Answer 31

sorry, i didnt conect what relation about
d/5 = d/6 + (12/60)
maybe, it juts simply form from calculating above ??

Answer 32

yup, d= distance

Answer 33

oh, yes.. manipulating algebra i think