Lilah is moving from Portland to Seattle. It takes her 3 hours to go by train. Mason leaves the train station in Portland and drives to the train station in Seattle with all Lilah's boxes in his car. It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the speed of the train. Find Lilah's speed on the train and Mason's speed.

Question

Mathematics

Elizabeth

6 February, 04:14

Lilah is moving from Portland to Seattle. It takes her 3 hours to go by train. Mason leaves the train station in Portland and drives to the train station in Seattle with all Lilah's boxes in his car. It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the speed of the train. Find Lilah's speed on the train and Mason's speed.

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Roth · Answer 1

Answer:Lilah's speed on the train is 60 mph and Mason's speed is 75 mph

Step-by-step explanation:

Let x represent the speed of Lilah.

Lilah is moving from Portland to Seattle. It takes her 3 hours to go by train.

Distance = speed * time

Distance covered by Lilah in moving from Portland to Seattle would be

3 * x = 3x

It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the speed of the train.

It means that Mason's speed is

x + 15

Distance covered by Mason would be

2.4 (x + 15) = 2.4x + 36

Since the distance from Portland to Seattle is the same, then

3x = 2.4x + 36

3x - 2.4x = 36

0.6x = 36 x = 36/0.6 = 60 mph

Mason's speed would be 60 + 15 = 75 mph