Destiny is eating lunch at her favorite cafe when her friend Jada calls and says she wants to meet her. Jada is calling from a city 65 miles away and wants to meet Destiny somewhere between the two locations. Jada says she will start driving right away, but Destiny needs 10 min to finish her lunch before she can begin driving.

Jada plans to drive at 60 mph, whereas Destiny usually averages about 80 mph. Ignore acceleration and assume the highway is a straight line.

Respuesta :

The time taken for Jada's and Destiny's travel are 0.5595hour and 0.3928 hour

Let us consider distance for which both had to travel be equal

Let this time be 't'

The total distance between them is 65 miles

It is given that speed of Jada and Destiny are 60 and 80 mph

It is also given Destiny starts the journey 10 minutes later, hence her time be t-10 mins

But as all units are in hour , we must convert 10 mins to hour,

10 mins = 0.1667 hours

there Destiny's time of travel = t - 0.1667

We know that distance = speed x time

Therefore, total distance = distance travelled by Jada+ Distance travelled by Destiny

65 = 60 x t + 80 x(t-0.1667)

65 = 60t + 80t - 13.336

78.336 = 140 t

t = 78.336/140 = 0.5595hr

t= 0.5595 hour

Time taken for Jada's travel = 0.5595 hours

Time taken for Destiny's travel = t-0.1667 =0.5595-0.1667  =0.3928 hour

Disclaimer:

Time has been assumed and question provided is incomplete

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