Problema Solution
Rudy walks from his house to his farm at 10kph. He traveled back home using the same route at 5kph. It takes him 2 hours to travel both direction. What is the distance from his house to his farm?
Answer provided by our tutors
let
v1 = 10 mph the walking speed from house to farm
t1 = the walking time from house to farm
v2 = 5 mph the walking speed from farm to house
t2 = the walking time from farm to house
it takes him 2 hours to travel both direction thus the total time of the walk is:
t1 + t2 = 2
since he travels the same distance bach and forth and distance = speed*time
v1*t1 = v2*t2
10t1= 5t2 divide both sides by 5
2t1 = t2
by solving the system of equations
t1 + t2 = 2
2t1 = t2
we find
t1 = 2/3 hr
t2 = 4/3 hr
click here to see the step by step solution of the system of equations
v1*t1 = 10*(2/3) = 20/3 = 6.67 miles
the distance from his house to his farm is 6.67 miles.