On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour

Question

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

Answer: C
Source: GMAT paper tests

Jay@ManhattanReview · Answer

BTGModeratorVI wrote: ↑Sun Apr 05, 2020 8:57 am 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 Answer: C Source: GMAT paper tests Given that Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes, he covered distance of (30/60)*12 = 6 miles Thus, miles left to be covered = 20 – 6 = 14 miles Thus, time taken to cover 24 miles = 14/8 hours = (14/8)*60 = 105 minutes Total time taken = 105 + 12 = 117 minutes The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Test Prep Locations: Manhattan Review Begumpet | Free GRE Practice Test | GRE Prep Hyderabad | Dilsukhnagar GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Scott@TargetTestPrep · Answer

BTGModeratorVI wrote: ↑Sun Apr 05, 2020 8:57 am 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 Answer: C Source: GMAT paper tests Pat originally biked 30 x 12/60 = 6 miles. So it took him 14/8 = 7/4 = 1 3/4 = 1 hour and 45 minutes = 105 minutes to run the remaining 14 miles. So, in total, Pat took 12 + 105 = 117 minutes to complete the course. Answer: C

Brent@GMATPrepNow · Answer

BTGModeratorVI wrote: ↑Sun Apr 05, 2020 8:57 am 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 Answer: C Source: GMAT paper tests 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 Cheers, Brent

deloitte247 · Answer

Total distance = 20 miles
Part of the total distance was covered by bicycle and the rest on foot.
On Bicycle;
Speed = 30 mph
Time = 12 minutes = 12/60 = 1/5 hours
Total distance covered with bicycle = speed * time
$$=30\cdot\frac{1}{5}=6miles$$
Therefore, the total distance covered by foot when running = total distance - distance covered with bicycle
distance covered by foot = 20 - 6 = 14 miles

Running on foot;
Speed = 8 miles per hour
Distance = 14 miles
Time taken = distance / speed = 14/8
= 1.75 hours

or

60 * 1.75 = 105mins

Total minutes taken to cover the total distance /entire course = time on bicycle + time used on foot
= 12 mins + 105 mins
= 117 mins

Answer = option C

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On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour

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Re: On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour

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Re: On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour

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Re: On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour

Re: On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour

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