ardz24 wrote:Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
(A) 16
(B) 18
(C) 20
(D) 24
(E) 30
Since Max and Brad travel toward each other, they WORK TOGETHER to cover the 50 kilometers between them.
When people work together, ADD THEIR RATES.
The combined rate for Max and Brad = 4+6 = 10 kilometers per hour.
Of every 10 kilometers traveled by Max and Brad working together, 4 kilometers are traveled by Max (since his rate is 4 kph), and 6 kilometers are traveled by Brad (since his rate is 6 kph).
Implication:
Brad will travel 6/10 of the 50 kilometers between the two houses:
(6/10)(50) = 30 kilometers.
The correct answer is
E.
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