Word prob: A man traveled 281 km in 7 hrs. He traveled with a speed of 44 km/hr for a

samwel

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A man traveled 281 km in 7 hrs. He traveled with a speed of 44 km/hr for a certain time, then he reduced the speed to 38 km/hr till the end of his journey. How long did he travel with the speed of 44 km/hr.
 
A man traveled 281 km in 7 hrs. He traveled with a speed of 44 km/hr for a certain time, then he reduced the speed to 38 km/hr till the end of his journey. How long did he travel with the speed of 44 km/hr.
What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you did the basic set-up for "distance" (or "uniform rate") exercises (here), giving you:

. . .first leg:
. . . . .rate: 44
. . . . .time: t
. . . . .distance: 44t

. . .second leg:
. . . . .rate: 38
. . . . .time: 7 - t
. . . . .distance: 38(7 - t)

You then added the two relevant expressions, and set the result equal to the relevant value from the exercise statement. You solved the linear equation, and... then what?

Please be complete. Thank you! ;)
 
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