contestada

A town has accumulated 4 inches of​ snow, and the snow depth is increasing by 5 inches every hour. A nearby town has accumulated 10 ​inches, and the depth is increasing by 3 inches every hour. In about how many hours will the snowfall of the towns be​ equal?

Respuesta :

The snowfall of the towns will be equal after 3 hours.

Calculating Time

From the question, we are to determine how many hours it would take the snowfall of the towns to be equal

From the given information,

One of the towns has accumulated 4 inches of snow, and the snow depth is increasing by 5 inches every hour. Let this town be town X

Also,

Another town has accumulated 10 inches and the depth is increasing by 3 inches. Let this town be town Y

After 1 hour

Height of the snow in town X = 4 inches + 5 inches = 9 inches

Height of the snow in town Y = 10 inches + 3 inches = 13 inches

After 2 hours

Height of the snow in town X = 9 inches + 5 inches = 14 inches

Height of the snow in town Y = 13 inches + 3 inches = 16 inches

After 3 hours

Height of the snow in town X = 14 inches + 5 inches = 19 inches

Height of the snow in town Y = 16 inches + 3 inches = 19 inches

The snowfall in the towns is equal

Hence, the snowfall of the towns will be equal after 3 hours.

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