Problema Solution
A man travelled from one town to the other town at a speed of 30km per hour.If his speed if 40km per hour then the time is reduced by 50 minutes.Find the distance between the two towns
Answer provided by our tutors
let
d = the distance between the cities
v1 = 30 km/h
t1 = the time of the travel when traveling with speed v1 expressed in hours
v2 = 40 km/h
t2 = t1 - 50/60 hours
since distance = speed*time we have
v1*t1 = d
30*t1 = d
v2*t2 = d
40*(t1 - 5/6) = d
plug d = 30*t1 into 40*(t1 - 5/6) = d we have
40*(t1 - 5/6) = 30*t1
by solving we find
t1 = 10/3 hr
click here to see the step by step solution of the equation
d = 30*(10/3)
d = 100 km
the distance between the two cities is 100 km.