Algebra

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Ben traveled by car at an average speed of 29 miles per hour.

Then, he traveled by motorcycle at an average speed of 53 miles per hour.

In total, he traveled 333 miles for 9 hours.

How many minutes did Ben travel by motorcycle? (Round to the nearest minute.)

  • Algebra -

    if he traveled x miles at 29 m/h and y miles at 53 m/h, then

    x+y=333 and, since time = distance/speed,

    x/29 + y/53 = 9
    so,

    x/29 + (333-x)/53 = 9
    x = 174
    y = 159

    check:
    174+159 = 333
    174/29 + 159/53 = 6+3 = 9

  • Algebra -

    but how to calculate this part with x/29+(333-x)/53=9
    ?

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