SOLUTION: How to solve this type of problem: Evan starts out on a snowmobile trail and travels 35 km/h. Bonnie leaves 10 min later, travelling at "v" kilometers per hour, and overtakes Eva

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Question 856190: How to solve this type of problem:
Evan starts out on a snowmobile trail and travels 35 km/h. Bonnie leaves 10 min later, travelling at "v" kilometers per hour, and overtakes Evan after "t" hours. How fast would Bonnie have to travel to overtake Evan in 30 min? Express your answer to the nearest tenth.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In +10+ min, Even has traveled
+d%5B1%5D+=+35%2A%2810%2F60%29+
+d%5B1%5D+=+5.8333+ km
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Start a stopwatch when Bonnie leaves
The time on the stopwatch is +1%2F2+ hr
when she catches Evan
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Evan's equation:
(1) +d+-+5.8333+=+36%2A%281%2F2%29+
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Bonnie's equation:
(2) +d+=+v%2A%281%2F2%29+
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Substitute (2) into (1)
(1) +%281%2F2%29%2Av+-+5.8333+=+36%2A%281%2F2%29+
(1) +v+-+11.6667+=+36+
(1) +v+=+47.6667+
To the nearest 10th, +v+=+47.7+ km/hr
check:
(2) +d+=+v%2A%281%2F2%29+
(2) +d+=+23.8333+
and
(1) +d+-+5.8333+=+36%2A%281%2F2%29+
(1) +23.8333+-+5.8333+=+36%2A%281%2F2%29+
(1) +18+=+18+
OK