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01 Jan 2025, 01:30
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E
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Difficulty:
35%
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Question Stats:
70% (01:18) correct
30%
(01:22)
wrong
based on 168
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If a car travelled for two hours, what was it's average speed for it's entire journey?
(1) The car recorded an average speed of 50 mph for it's first 1.5 hours
(2) The car recorded an average speed of 45 mph for it's last 1.5 hours
(1) The car recorded an average speed of 50 mph for it's first 1.5 hours
(2) The car recorded an average speed of 45 mph for it's last 1.5 hours
01 Jan 2025, 03:25
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Bunuel
Avg speed = Total distance/ Total time ?
Total time = 2 hrs
Avg speed = Total distance/2
Statement 1 => Distance covered in first 1.5 hrs = 50 * 1.5 = 75 miles
Can't calculate the total distance as we don't know anything about last half an hour, hence this statement is insufficient
Statement 2 => Distance covered in last 1.5 hrs = 45 * 1.5 = 67.5 miles
Can't calculate the total distance as we don't know anything about first half an hour, hence this statement is insufficient
Combining both these statements,
Out of 2 hrs, let x be the distance covered in first half an hour, y be the distance covered in next hour, and z be the distance covered in last half an hour, then,
Total distance = x + y + z
From statement 1 we know that, x + y = 75
From statement 2 we know that, y + z = 67.5
As we cannot effectively calculate the value of x + y + z from above two equations, both statements together are also insufficient.
IMO: E
21 Jan 2025, 07:12
Kudos
Bookmarks
Avg speed = Total distance / 2 (since time = 2 hrs)
- Statement 1:In the first 1.5 hrs, distance = \( 50 \times 1.5 = 75 \) miles.
We don’t know the distance for the last 0.5 hr, so insufficient.
- Statement 2: In the last 1.5 hrs, distance = \( 45 \times 1.5 = 67.5 \) miles.
We don’t know the distance for the first 0.5 hr, so **insufficient**.
- Combining both:
Let the distances in the first 0.5 hr, next 1 hr, and last 0.5 hr be \( x, y, z \):
- From Statement 1: \( x + y = 75 \)
- From Statement 2: \( y + z = 67.5 \)
We still can’t find \( x + y + z \), so both together are insufficient
- Statement 1:In the first 1.5 hrs, distance = \( 50 \times 1.5 = 75 \) miles.
We don’t know the distance for the last 0.5 hr, so insufficient.
- Statement 2: In the last 1.5 hrs, distance = \( 45 \times 1.5 = 67.5 \) miles.
We don’t know the distance for the first 0.5 hr, so **insufficient**.
- Combining both:
Let the distances in the first 0.5 hr, next 1 hr, and last 0.5 hr be \( x, y, z \):
- From Statement 1: \( x + y = 75 \)
- From Statement 2: \( y + z = 67.5 \)
We still can’t find \( x + y + z \), so both together are insufficient
