Posted by **Charlotte** on Monday, August 13, 2012 at 2:53pm.

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 -
**Steve**, Monday, August 13, 2012 at 3:34pm
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 -
**Sonja**, Tuesday, October 30, 2012 at 4:05pm
but how to calculate this part with x/29+(333-x)/53=9

?

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