Problema Solution
A man travels x km at 8km/h and y km at 20km/h.the the total time is three and half hours .
The total time taken to travel (2x+4)km at 8km and y/3 at 20km/h is 5hours .find x and y.
Answer provided by our tutors
since speed = distance/time => time = distance/speed
A man travels x km at 8km/h and y km at 20km/h.the the total time is three and half hours.
the time he travels x km at 8km/h + the time he travels y km at 20km/h = the total time of 3.5 hours
x/8 + y/20 = 3.5
similar for: the total time taken to travel (2x+4)km at 8km and y/3 at 20km/h is 5 hours
the time he travels (2x+4) km at 8km/h + the time he travels y/3 km at 20km/h = the total time of 5 hours
(2x + 4)/8 + (y/3)/20 = 5
(x + 2)/4 + y/60 = 5
by solving the system of equations
x/8 + y/20 = 3.5
(x + 2)/4 + y/60 = 5
we find
x = 16 km
y = 30 km
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