Question

Doug and Ken are meeting for lunch at Rodrigo's Mexican Restaurant. Doug's work place is 5 miles from the restaurant and Ken's work place is 7 miles from the restaurant. Both of them drive at the same rate and Doug takes t minutes to get there while Ken ?

Doug and Ken are meeting for lunch at Rodrigo's Mexican Restaurant. Doug's work place is 5 miles from the restaurant and Ken's work place is 7 miles from the restaurant. Both of them drive at the same rate and Doug takes t minutes to get there while Ken takes m minutes to get there. Which equation represents this information?
5+t=7+m
t/5=7/m
5/t=7/m
5t=7m

Answer 1

`5/t=7/m`

Explanation:

The average speed `V_D` of Doug traveling `5\ \text{miles}` in `t\ \text{min}`

`V_D=5/t\ \text{miles/min}`

The average speed `V_K` of Ken traveling `7\ \text{miles}` in `m\ \text{min}`

`V_K=7/m\ \text{miles/min}`

Now, given that the speeds of Doug & Ken is same i.e. `V_D=V_K` hence

`5/t=7/m`

Answer 2

Equation `5/t = 7 / m` represents this information.

Explanation:

Doug takes t min to travel 5 miles

Since Ken also travels at the same speed,

Time taken by Ken to travel 7 miles `= 7/5 * t min.`