Posted by **Lisana** on Sunday, October 9, 2011 at 6:15pm.

Jessica can jog to work in 4/5 of an hour. When she rides her bike, it takes her 3/10 of an hour. If she rides 10 miles per hour faster than she jogs, how far away is her work?

- Math -
**Steve**, Monday, October 10, 2011 at 5:46am
She bikes at speed b, so d/b = 3/10

She jogs at speed j, so d/j = 4/5

But, b=j+10 so,

d/(j+10) = 3/10

d/j = 4/5

d = 3/10 (j+10) = 4j/5 = 8j/10

3(j+10) = 8j

30 = 5j

j=6

b=16

d=24/5 mi

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