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Tanner Jones and Sheldon Furst have received communications receivers for Christmas. If they leave from the same point at the same​ time, Tanner walking north at 3.0 mph and Sheldon walking east at 3.5 ​mph, how long will they be able to talk to each other if the range of communications receivers is 8 ​miles? ​ (Round your answer to the nearest​ minute.)

Respuesta :

Answer:

t = 1.735 s

Explanation:

given,

tanner walking speed = 3 mph

Sheldon walking speed = 3.5 mph

distance = speed × time

tanner distance = 3 t

Sheldon distance = 3.5 t

Using Pythagoras theorem

(3.5 t)²+ (3 t)² = 8²

21.25 t² = 64

t = 1.735 s

tanner walks the distance of = 3 × 1.735 = 5.205 m

Sheldon walks the distance of = 3.5 × 1.735 = 6.072 m

so, the distance between them

 d² = 5.205² + 6.072²

d = 8 miles (hence correct)

for, 1.735 s they are able to talk to each other.

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