GMAT Paper Tests
On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?
A. 75
B. 105
C. 117
D. 150
E. 162
OA C.
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On a 20 mile course, Pat bicycled at an average rate of 30
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Since Pat travels at 30 miles per hour for the first 12 minutes -- the equivalent of 1/5 hour -- the distance traveled in the first 12 minutes = (30)(1/5) = 6 miles.AAPL wrote:GMAT Paper Tests
On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?
A. 75
B. 105
C. 117
D. 150
E. 162
Since the remaining 14 miles are traveled at 8 miles per hour, the time to travel the remaining 14 miles = 14/8 = 7/4 hours = 1 hour + 3/4 hour = 60 minutes + 45 minutes = 105 minutes.
Total time for the entire 20-mile trip = 12 + 105 = 117 minutes.
The correct answer is C.
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Let's start with a WORD EQUATIONAAPL wrote:GMAT Paper Tests
On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?
A. 75
B. 105
C. 117
D. 150
E. 162
OA C.
(Distance traveled at 30 mph) + (Distance traveled at 8 mph) = 20 miles
Distance = (rate)(time)
Let t = the time (in hours) Pat spent running at 8 mph
Aside: 12 minutes = 1/5 hours
So, we get: (30 miles per hour)(1/5 hours) + (8 miles per hour)(t hours) = 20 miles
Simplify: 6 + 8t = 20
So: 8t = 14
t = 14/8 = 7/4 = 1.75 hours = 105 minutes
How many minutes did Pat take to cover the entire course?
Pat spent 12 minutes riding a bike, and 105 minutes running
TOTAL time = 12 + 105 = 117
Answer: C
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Scott@TargetTestPrep
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Pat biked 30 x 12/60 = 6 miles.AAPL wrote:GMAT Paper Tests
On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?
A. 75
B. 105
C. 117
D. 150
E. 162
Thus, he ran 14 miles. This took him 14/8 = 7/4 = 1 3/4 = 1 hour and 45 minutes = 105 minutes.
So, in total, Pat took 12 + 105 = 117 minutes to complete the course.
Answer: C
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