Algebra
posted by
Charlotte on
.
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,
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 + (333x)/53 = 9
x = 174
y = 159
check:
174+159 = 333
174/29 + 159/53 = 6+3 = 9

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