homework help! THe distance from new york to chicago is about 960 miles?

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by train. At noon a train sets out from each city bound for the other. If the trains average 40 miles per hour and 50 miles per hour, respectively, at what time do they pass each other?

Thankyou!

This entry was posted on Sunday, May 31st, 2009 at 2:29 pm and is filed under Train. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

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4 Responses to “homework help! THe distance from new york to chicago is about 960 miles?”

  1. Charu Says:
    June 1st, 2009 at 1:37 pm

    Let the trains meet after time ‘t’ hours.

    The distance travelled by train with 40 miles per hour in time t hours = 40 X t = 40t.
    The distance travelled by train with 50 miles per hour in time t hours = 50 X t = 50t.

    Since the trains meet, the total distance covered by two traines will be 960 miles.

    Hence,
    40t + 50t = 960
    90t = 960
    t = 960/90
    t = 10.66 hours

    Converting to hours and minutes, t = 10 hours and 40 minutes.

    Since the trains started at noon, they will meet at 10:40 PM.

  2. Dee W Says:
    June 4th, 2009 at 1:02 pm

    40x + 50x = 960
    90x = 960
    x = 10 2/3 hrs
    10:40 pm

  3. amada Says:
    June 7th, 2009 at 6:39 am

    Each hour they come closer at a rate:

    40 + 50= 90 miles/hr
    960/90= 10 and 6/9 hours= 10 hours and 2/3 hours= 10 hours and 40 minutes

    The trains started at noon, so at approximately 10:40 PM

  4. cidyah Says:
    June 9th, 2009 at 7:38 pm

    Time = distance / speed
    Assume that train 1 has traveled x miles when they pass each other. Train 2 has traveled (960-x) miles.
    x / 40 = (960-x) / 50
    50x=40(960-x)
    50x=38,400-40x
    90x=38,400
    x=426.66 miles
    Time taken to travel 426.66 miles = 426.66/40 =10.66 hrs
    12:00 PM + 10.66 hrs = 10:40 PM (approximately)

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