When Fritz drives to work his trip takes 36​minutes, but when he takes the train it takes 20 minutes. Find the distance Fritz travels to work if the train travels an average of 48miles per hour faster than his driving. Assume that the train travels the same distance as the car.

Question
Asked Aug 17, 2019
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When Fritz drives to work his trip takes 36​minutes, but when he takes the train it takes 20 minutes. Find the distance Fritz travels to work if the train travels an average of 48miles per hour faster than his driving. Assume that the train travels the same distance as the car.
 
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Expert Answer

Step 1

        Let speed of the car be c miles per hour.

        Then speed of the train = (c + 48) miles per hour.

Step 2

Changing the time taken by the car and train from minutes to hour.

20
=hrs.
Time taken by the train = 20 minutes
60
36
3
hrs.
5
Time taken by the car 36 minutes
60
help_outline

Image Transcriptionclose

20 =hrs. Time taken by the train = 20 minutes 60 36 3 hrs. 5 Time taken by the car 36 minutes 60

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Step 3

Forming the equation from the inform...

Since, distance travelled by the car and train is same.
distance speed X time
=
speed of the car x time = speed of the train x time
3
cx(c48) x;
-=
32
5c 240
9c
240
4c
c 60
36 miles
Therefore, distance= 60 x
=
n
help_outline

Image Transcriptionclose

Since, distance travelled by the car and train is same. distance speed X time = speed of the car x time = speed of the train x time 3 cx(c48) x; -= 32 5c 240 9c 240 4c c 60 36 miles Therefore, distance= 60 x = n

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