It takes Tom 15 minutes to wash a car.It takes only 10 minutes with jerry helping.how long should it take jerry to wash the car by himself?
A. 6 minutes
b. 12.5 minutes
c. none of these choices are correct.
d. 25 minutes
e. 5 minutes
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OpenStudy (anonymous):
would take 30 minutes
OpenStudy (anonymous):
c
OpenStudy (saifoo.khan):
How'd you got it?
OpenStudy (saifoo.khan):
1/15 + 1/x = 1/10
OpenStudy (anonymous):
1/15 + 1/x = 1/10
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OpenStudy (mertsj):
Tom can wash 1/15 of the car in 1 minute
Together they wash 1/10 of the car in 1 minutes.
The part Tom does + the part Jerry does = the part they do together. So
\[\frac{1}{15}+\frac{1}{x}=\frac{1}{10}\]
OpenStudy (anonymous):
can you solve that iheart?
OpenStudy (anonymous):
no sir i can not
OpenStudy (mertsj):
Multiply each term by the common denominator which is 30x
OpenStudy (anonymous):
ok - first find LCM of 10,15 and x
this is 30x
multiply each term by 30x gives
30x 30x 30x
---- + --- = ---
15 x 10
dividing each term
2x + 30 = 3x
30 = 3x - 2x = x
so x = 30
none of the choices are correct - as kumar said the answer is c
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