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Updated on: 22 Dec 2025, 09:46
Originally posted by EgmatQuantExpert on 09 May 2018, 08:33.
Last edited by Bunuel on 22 Dec 2025, 09:46, edited 4 times in total.
Last edited by Bunuel on 22 Dec 2025, 09:46, edited 4 times in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
75% (03:07) correct
25%
(03:12)
wrong
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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
A. 8 mph
B. 10 mph
C. 12 mph
D. 15 mph
E. 30 mph
Application of Average Speed in Distance problems - Exercise Question #2
To solve question 3: Question 3
To read the article: Application of Average Speed in Distance problems
To solve question 3: Question 3
To read the article: Application of Average Speed in Distance problems
Updated on: 14 May 2018, 00:27
Originally posted by EgmatQuantExpert on 09 May 2018, 08:34.
Last edited by EgmatQuantExpert on 14 May 2018, 00:27, edited 1 time in total.
Last edited by EgmatQuantExpert on 14 May 2018, 00:27, edited 1 time in total.
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Solution
Given:
• Gunther delivered pizzas in three different societies – Hufflepuff, Ravenclaw, and Slytherin
• He started his journey at 6:30 pm from the shop at a speed of 15 mph
• In 15 minutes, he reached Hufflepuff society and took 15 minutes to deliver all pizzas in that society
• He again travelled for another 15 minutes to reach Ravenclaw society at the same speed of 15 minutes
• At Ravenclaw society, he took 15 minutes to deliver all pizzas in that society
• He again travelled for another 15 minutes to reach Slytherin society, at double of original speed, i.e. 30 mph
• After reaching Slytherin society he found out that the order was cancelled in that society
To find:
• Gunther’s average speed in this whole journey (time includes delivery time)
Approach and Working:
All the information can be shown in the following table:
• As the journey is divided into three separate parts, let us calculate the journey distance first.
- o From the shop to Hufflepuff society, Gunther travelled for 15 minutes at 15 mph
- Therefore, the distance covered = \(\frac{15}{60}\) * 15 miles = \(\frac{15}{4}\) miles
- Therefore, the distance covered = \(\frac{15}{60}\) * 15 miles = \(\frac{15}{4}\) miles
- Therefore, the distance covered = \(\frac{30}{60}\) * 15 miles = \(\frac{15}{2}\) miles
• Now, let’s calculate the total journey time
- o From the shop to the delivery at Hufflepuff society, Gunther travelled for 15 minutes and delivered pizzas for 15 minutes
- Therefore, the total time taken = (15 + 15) = 30 minutes
- Therefore, the total time taken = (15 + 15) = 30 minutes
- Therefore, the total time taken = 15 minutes
• As we already know the total distance travelled and the total journey time, we can say the average speed = total distance travelled/total time taken = \(\frac{15}{75}\) miles per minutes = \(\frac{1}{5}\) miles per minute = \(\frac{1}{5}\) * 60 mph = 12 mph
Hence, the correct answer is option C.
Answer: C
General Discussion
13 May 2018, 08:38
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Average Speed = Total Distance / total time
Now Total Distance = 15 (1/4+1/4)+30*1/4 =15miles
Time = 15+15+15+15+15 = 75 min = 75/60 =5/4 hr
Average Speed = 15/(5/4)= 12mph
Now Total Distance = 15 (1/4+1/4)+30*1/4 =15miles
Time = 15+15+15+15+15 = 75 min = 75/60 =5/4 hr
Average Speed = 15/(5/4)= 12mph
