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On a 20-mile course Pat bicycled at an average rate of 30 mi
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06 Feb 2020, 21:57
06 Feb 2020, 21:57
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Question Stats:
76% (01:53) correct
23% (01:48) wrong based on 21 sessions
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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
(A) 75 (B) 105 (C) 117 (D) 150 (E) 162
Re: On a 20-mile course Pat bicycled at an average rate of 30 mi
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06 Feb 2020, 22:39
06 Feb 2020, 22:39
1
Asif123 wrote:
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
(A) 75 (B) 105 (C) 117 (D) 150 (E) 162
From the information above one can quickly come up with the following equation (basic equation of Rate*Time = Distance):
30*12/60 + 8t = 20, where t is the time it tool Pat to ran the rest of the distance.
From that we get t = 14/8 = 7/4
Total time the is equal to 7/4 + 12/60 = 39/20 hours or 39*60/20 = 117 minutes
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Re: On a 20-mile course Pat bicycled at an average rate of 30 mi
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04 Jun 2020, 08:07
04 Jun 2020, 08:07
Asif123 wrote:
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
(A) 75 (B) 105 (C) 117 (D) 150 (E) 162
Let's start with a WORD EQUATION
(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
