A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph. help

Respuesta :

Ishan0

Answer:

average speed   = distance / time

60 =  distance /   (13.20 - 10.40)

13.20 - 10.40  =  2 hours 40 minutes  =  2 2/3  hours

60 = distance / 8/3  = 3 d / 8     (where d = distance)

3d = 480

d = 480/3  = 160 miles

The distance between the station in Boston and the one in Stamford is 160 miles.

Distance is calculated by the formula:

= Speed x Time

The Speed is 60 mph as given.

The time is:

= 1:00 pm  - 10:20AM

= 2 hrs 40 minutes

In decimals this is:

= 2 + 40/60 minutes

= 2 + 2/3

= 2.67 hours

The distance is therefore:

= Speed x Time

= 60 x 2.67

= 160 miles

In conclusion, the distance between the stations is 160 miles.

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