Problema Solution
In his spare time, Kim likes to go cycling. He cycles partly on paved surfaces and partly off-road, through hilly and wooded areas. He cycles at 25 km/h off-road. One day, he cycled 41 km in 2 hours. How far did he cycle off-road.
Answer provided by our tutors
v1 = 25 km/h the off-road speed of Kim
v2 = the paved surface speed
d = 41 km the total distance he cycled
t1 = the time of the off-rad cycling
t2 = the time of the paved surface cycling
t1 + t2 = 2
since speed = distance/time => distance = time*speed
the paved surface distance + the off-road distance = the total distance
t1*v1 + t2*v2 = d
t2*25 + t1*v2 = 41
we need to solve the system of equations
t1 + t2 = 2
t2*25 + t1*v2 = 41
The paved surfaces speed v2 is missing. Please resubmit the problem again together with all the missing info.