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 ?

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 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

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Answer 1 · 2018-07-26T13:41:49

#5/t=7/m#

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 · 2018-07-26T13:43:24

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

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.#