Answer:
64miles/hr
Step-by-step explanation:
Chuck's details:
distance = 192miles
Dana's details:
distance = 183miles
So. Let the speed of Dana be Xmiles/hr then speed of Chuck's will be (X + 3)miles/hr
Since they both traval at the since time t then
Speed = distance/time
For Chuck's: (X + 3) = 192/t
Making t as subject of formula
t = 192/(X + 3)
For Dana: X = 183/t
Making t as subject of formula
t = 183/X
So.since t is constant for both Chuck's and Dana then:
192/(X + 3) = 183/X
Cross multiple
192X = 183(X + 3)
192X = 183X + 549
Collect like terms
192X - 183X = 549
9X = 549
Divide through by 9
X = 549/9
X =>61 miles/hr
Speed for Chuck's is X + 3
= 61 + 3
= 64miles/hr
