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Kazeer [188]
3 years ago
9

A diesel train left Washington and traveled

Mathematics
1 answer:
denpristay [2]3 years ago
8 0

The number of hours the diesel train traveled  before the cattle train caught up is 15 hours

<em><u>Solution:</u></em>

Let t = travel time of the diesel train

Then  (t - 2) is the travel time of the cattle train (Left 2 hrs later)

Average speed of diesel train = 52 mph

Average speed of cattle train = 60 mph

To find: number of hours the diesel train traveled  before the cattle train caught up

Distance = speed x time

<em><u>Distance traveled by diesel train:</u></em>

Distance = 52 x t = 52t

<em><u>Distance traveled by cattle train:</u></em>

Distance = 60 x (t - 2) = 60t - 120

When the cattle train catches the diesel, they will have traveled the

same distance

Distance traveled by diesel train = Distance traveled by cattle train

52t = 60t - 120

60t - 52t = 120

8t = 120

t = 15

Thus the number of hours the diesel train traveled  before the cattle train caught up is 15 hours

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