Problema Solution

A man cycles for x hours at 12km/h and y hours at 18km/h. Altogether he cycles 78km in 5hours. Find x and y

Answer provided by our tutors

12x+18y = 78

and, x = 5-y

so 60-12y+18y = 78

or, 6y = 18

so, y = 3 hours

x = 2 hours