Problema Solution
car p srarted from town x travelling towards town y at 6am and reached y at 9am.car q started from x towards y at 6am and reached y at 10am .at what time did both the cars meet?
Answer provided by our tutors
let
t = the time measured from start till meeting
t1 = 3 hours the total time p traveled since there are 3 hours from 6 am till 9 am
t2 = 4 hours the total time q traveled since there are 4 hours from 6 am till 10 am
v1 = the speed of p
v2 = the speed of q
d = the distance from x to y
d = v1*t1 = v2*t2
v1/v2 = t2/t1
v1/v2 = 4/3
v1*t + v2*t = d
v1*t + v2*t = v1*t1 divide both sides by v1
t (1 + v2/v1) = t1
t (1 + 3/4) = 3
t*(7/4) = 3
t = 4*3/7
t = 12/7
t = 1 5/7 hours = 1 hour 42.9 min
6am + 1 hour 42.9 min = 7:42.9 am
they met at 7:42.9 am.