Question

Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 192 miles in the same time that Dana travels 183 miles. If Chuck’s rate of travel is 3 mph more than Dana’s, and they travel the same length of time, at what speed does Chuck travel?

Answer 1

64miles/hr

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