SOLUTION: A and B travel toward each other, A leaves at 8 am at the rate of 30 m.p.h. B leaves at 10 a.m at 40 m.p.h. The distance is 100 miles. How long will it be from the time B leaves un

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Question 840440: A and B travel toward each other, A leaves at 8 am at the rate of 30 m.p.h. B leaves at 10 a.m at 40 m.p.h. The distance is 100 miles. How long will it be from the time B leaves until they meet ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
They meet when the sum of the distances they travel separately is 100 miles. A travels for 2+t hours, because he left on the trip three hours earlier than B. B travels for some t hours. When that all makes sense, continue reading.

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highlight_green%28R%2AT=D%29, Rate, Time, Distance

highlight_green%2830%28t%2B2%29%2B40t=100%29
3%28t%2B2%29%2B4t=10
3t%2B6%2B4t=10
7t=4
highlight%28t=4%2F7%29 hour or about 34 minutes, maybe slightly longer.