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Math Help - Distance Word Problem

  1. #1
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    Smile Distance Word Problem

    On a business trip a salesman traveled 40 mph for the first third of the distance and 50 mph for the remainder of the distance. If the entire trip took 4 hours and 20 minutes, how many miles did he travel?

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  2. #2
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    i think the total distance travelled is 200 miles... he travelled at 40mph for 1hr and 40 mins. and at 50 mph for the remaining time.

    therefore distance travelled is

    40*100(mins)/60+ 50*80/60+ 50*80/60 =400/6 + 400/6 + 400/6

    = 1200/6
    =200 miles..

    400/6 is also the 1/3rd of the distance travelled... is it correct... correct me if i am wrong....
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  3. #3
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    yes.....

    Quote Originally Posted by sanmo4 View Post
    i think the total distance travelled is 200 miles... he travelled at 40mph for 1hr and 40 mins. and at 50 mph for the remaining time.

    therefore distance travelled is

    40*100(mins)/60+ 50*80/60+ 50*80/60 =400/6 + 400/6 + 400/6

    = 1200/6
    =200 miles..

    400/6 is also the 1/3rd of the distance travelled... is it correct... correct me if i am wrong....
    Yes, the answer is 200 miles. I had a difficult time with this question.
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