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While making a non-stop trip, a bus averaged m mph for the

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While making a non-stop trip, a bus averaged m mph for the

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While making a non-stop trip, a bus averaged m mph for the first 5 hours and n mph, for the remaining 4 hours. What was the average speed of the bus, in mph, for the whole trip?

1) 7.5m + 6n = 465.
2) 2m + 3n = 180.

OA A

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AAPL wrote:
e-GMAT

While making a non-stop trip, a bus averaged m mph for the first 5 hours and n mph, for the remaining 4 hours. What was the average speed of the bus, in mph, for the whole trip?

1) 7.5m + 6n = 465.
2) 2m + 3n = 180.
Distance traveled in the first 5 hours = 5m.
Distance traveled in the remaining 4 hours = 4n.
Average speed for the entire 9-hour trip = (5m + 4n)/9.
To determine the average speed for the entire trip, we need to know the value of 5m+4n.
Question stem, rephrased:
What is the value of 5m+4n?

Statement 1:
Doubling the equation, we get:
15m + 12n = 930
Dividing both sides by 3, we get:
5m + 4n = 310
SUFFICIENT.

Statement 2:
No way to determine the value of 5m+4n.
INSUFFICIENT.

The correct answer is A.

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