SOLUTION: While stuck at home with no school, a brother and sister were asked to rake the lawn. The younger sister takes 5 hours longer to rake the lawn than the older brother. If it took th

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Question 1154140: While stuck at home with no school, a brother and sister were asked to rake the lawn. The younger sister takes 5 hours longer to rake the lawn than the older brother. If it took them 6 hours to rake the lawn working together, how much time does it take for each of them working alone?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
BROTHER           1/b

SISTER           1/(b+5)

Combined         1/6


1%2Fb%2B1%2F%28b%2B5%29=1%2F6
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%28b%2B5%29%2Bb=%28b%5E2%2B5b%29%2F6
2b%2B5=%28b%5E2%2B5b%29%2F6
12b%2B30=b%5E2%2B5b
b%5E2-7b=30
Maybe 3%2A10=30 comparing b%28b-7%29=30, b=10.

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PERSON        TIME to do ONE JOB

BROTHER           10

SISTER           15

Combined         6