Source: e-GMAT
Gunther, the pizza delivery boy, went out from the store carrying pizzas to deliver for the residents in 3 housing societies named Hufflepuff, Ravenclaw, and Slytherin. He started at 6:30 pm from the shop at a speed of 15 mph. After 15 minutes he reached Hufflepuff Society, and it took 15 minutes to deliver all pizzas there. Then at the same speed he moved for another 15 minutes to reach Ravenclaw, and in 15 minutes delivered all pizza. Finally, he drove towards Slytherin at double of his original speed, and after reaching there in 15 minutes time, he realised that the order has been cancelled. What is Gunther's average speed in this whole journey (time includes delivery time)?
A. 8 mph
B. 10 mph
C. 12 mph
D. 15 mph
E. 30 mph
The OA is C.
Gunther, the pizza delivery boy, went out from the store
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> Time taken to reach Hufflepuff Society = 15 minutesBTGmoderatorLU wrote:Source: e-GMAT
Gunther, the pizza delivery boy, went out from the store carrying pizzas to deliver for the residents in 3 housing societies named Hufflepuff, Ravenclaw, and Slytherin. He started at 6:30 pm from the shop at a speed of 15 mph. After 15 minutes he reached Hufflepuff Society, and it took 15 minutes to deliver all pizzas there. Then at the same speed he moved for another 15 minutes to reach Ravenclaw, and in 15 minutes delivered all pizza. Finally, he drove towards Slytherin at double of his original speed, and after reaching there in 15 minutes time, he realised that the order has been cancelled. What is Gunther's average speed in this whole journey (time includes delivery time)?
A. 8 mph
B. 10 mph
C. 12 mph
D. 15 mph
E. 30 mph
The OA is C.
> Time taken to deliver Pizzas at Hufflepuff Society = 15 minutes
> Time taken to reach Ravenclaw Society = 15 minutes
> Time taken to deliver Pizzas at Ravenclaw Society = 15 minutes
> Time taken to reach Slytherin Society = 15 minutes
Total time taken = 5 * 15 = 75 minutes = 1.25 hours
> Distance traveled to reach Hufflepuff Society driving @ 15 mph for 15 minutes = 15/4 miles
> Distance traveled to reach Ravenclaw Society driving @ 15 mph for 15 minutes = 15/4 miles
> Distance traveled to reach Slytherin Society driving @ 30 mph for 15 minutes = 15/2 miles
Total distance travelled = 15/4 + 15/4 + 15/2 = 15 miles
Average speed = Total distance traveled / Total time taken = 15 / 1.25 = 12 mph
The correct answer: C
Hope this helps!
-Jay
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Average = sum/quantity.BTGmoderatorLU wrote:Source: e-GMAT
Gunther, the pizza delivery boy, went out from the store carrying pizzas to deliver for the residents in 3 housing societies named Hufflepuff, Ravenclaw, and Slytherin. He started at 6:30 pm from the shop at a speed of 15 mph. After 15 minutes he reached Hufflepuff Society, and it took 15 minutes to deliver all pizzas there. Then at the same speed he moved for another 15 minutes to reach Ravenclaw, and in 15 minutes delivered all pizza. Finally, he drove towards Slytherin at double of his original speed, and after reaching there in 15 minutes time, he realised that the order has been cancelled. What is Gunther's average speed in this whole journey (time includes delivery time)?
A. 8 mph
B. 10 mph
C. 12 mph
D. 15 mph
E. 30 mph
In this case:
Average speed = (sum of the minutes spent at each speed)/(total number of minutes).
Total time spent at 15mph = 30 minutes.
Total time spent delivering pizzas at 0mph = 30 minutes.
Total time spent at 30mph = 15 minutes.
Average speed = (15*30 + 0*30 + 30*15)/(30 + 30 + 15) = 900/75 = 300/25 = 60/5 = 12.
The correct answer is C.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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