# Distance Word Problem

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• Oct 13th 2008, 10:28 PM
magentarita
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?

• Oct 13th 2008, 11:43 PM
sanmo4
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....
• Oct 14th 2008, 06:58 AM
magentarita
yes.....
Quote:

Originally Posted by sanmo4
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.