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16 Sep 2014, 00:36
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If a bus took three hours to travel from town A to town B, what was its average speed throughout the entire journey?
(1) In the first hour, the bus covered \(\frac{1}{3}\) of the total distance at an average speed of 60 kilometers per hour.
(2) During the second hour, the bus had an average speed of 80 kilometers per hour, which is double its speed in the third hour.
(1) In the first hour, the bus covered \(\frac{1}{3}\) of the total distance at an average speed of 60 kilometers per hour.
(2) During the second hour, the bus had an average speed of 80 kilometers per hour, which is double its speed in the third hour.
syashveersingh
Joined: 30 Apr 2014
Last visit: 14 Jan 2016
Posts: 1
Given Kudos: 17
Location: India
Concentration: Marketing, Strategy
Schools: ISB '17 (A)
GMAT 1: 680 Q49 V34
WE:Sales (Internet and New Media)
22 May 2015, 05:57
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What if the speed was different in the 2nd and 3rd hour? Wouldnt that change the average speed?
General Discussion
16 Sep 2014, 00:36
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Official Solution:
If a bus took three hours to travel from town A to town B, what was its average speed throughout the entire journey?
To find the average speed, we use the formula: \(\text{Average speed}=\frac{\text{total distance}}{\text{total time}}\). We know the total time is 3 hours, so we need to determine the total distance.
(1) In the first hour, the bus covered \(\frac{1}{3}\) of the total distance at an average speed of 60 kilometers per hour.
Since \(\frac{1}{3}\) of the distance is \(1*60=60\) kilometers, the total distance is \(3*60=180\) kilometers. This statement is sufficient.
(2) During the second hour, the bus had an average speed of 80 kilometers per hour, which is double its speed in the third hour.
During the second hour, the bus covered 80 kilometers, and during the third hour, the bus covered \(\frac{80}{2}=40\) kilometers. Thus, in the last two hours, it covered a total of 120 kilometers. However, we don't know how many kilometers were covered during the first hour, so this statement is not sufficient.
Answer: A
If a bus took three hours to travel from town A to town B, what was its average speed throughout the entire journey?
To find the average speed, we use the formula: \(\text{Average speed}=\frac{\text{total distance}}{\text{total time}}\). We know the total time is 3 hours, so we need to determine the total distance.
(1) In the first hour, the bus covered \(\frac{1}{3}\) of the total distance at an average speed of 60 kilometers per hour.
Since \(\frac{1}{3}\) of the distance is \(1*60=60\) kilometers, the total distance is \(3*60=180\) kilometers. This statement is sufficient.
(2) During the second hour, the bus had an average speed of 80 kilometers per hour, which is double its speed in the third hour.
During the second hour, the bus covered 80 kilometers, and during the third hour, the bus covered \(\frac{80}{2}=40\) kilometers. Thus, in the last two hours, it covered a total of 120 kilometers. However, we don't know how many kilometers were covered during the first hour, so this statement is not sufficient.
Answer: A
