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# Maria drove a distance without stopping such that she covered first

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DS Forum Moderator
Joined: 22 Aug 2013
Posts: 1338
Location: India
Maria drove a distance without stopping such that she covered first  [#permalink]

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18 Jul 2018, 00:43
6
00:00

Difficulty:

95% (hard)

Question Stats:

22% (02:20) correct 78% (03:16) wrong based on 77 sessions

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Maria drove a distance without stopping such that she covered first 1/3 of distance in 3 hours and remaining distance in 4 hours. Sarah drove the same distance without stopping such that she drove for first 1/3 of total time at a speed of 60 mph and for remaining time at a speed of 45 mph. What is the total distance that each of them has covered?

(1) Sarah covered the distance in lesser time than Maria.

(2) Difference between the average speeds of Maria and Sarah is 10 mph.
Manager
Joined: 22 Feb 2018
Posts: 244
Re: Maria drove a distance without stopping such that she covered first  [#permalink]

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31 Jul 2018, 04:00
amanvermagmat wrote:
Maria drove a distance without stopping such that she covered first 1/3 of distance in 3 hours and remaining distance in 4 hours. Sarah drove the same distance without stopping such that she drove for first 1/3 of total time at a speed of 60 mph and for remaining time at a speed of 45 mph. What is the total distance that each of them has covered?

(1) Sarah covered the distance in lesser time than Maria.

(2) Difference between the average speeds of Maria and Sarah is 10 mph.

amanvermagmat

I have doubt about the statement 2.

Let $$Av_{Maria}$$ be the Average speed of Maria and $$Av_{Sarah}$$ be the average speed of Sarah

Does Statement 2 means
$$|Av_{Maria}- Av_{Sarah}| = 10$$ or $$Av_{Maria}- Av_{Sarah} = 10$$

Quote:
In the following cases, order is important:
‘ quotient/ ratio of ’ construction If a problems says ‘the ratio of x and y’, it means ‘x divided by y’ NOT 'y divided by x'
‘ difference between/of ’ construction If the problem says ‘the difference of x and y’ it means ‘x – y’

Source: GMAT Club Math Book, Page: 34

According to GC Math Book,Statement 2 means $$Av_{Maria}- Av_{Sarah} = 10$$
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Intern
Joined: 27 Jun 2018
Posts: 1
Re: Maria drove a distance without stopping such that she covered first  [#permalink]

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06 Aug 2018, 14:56
1
How C is the correct answer. B is sufficient to solve
DS Forum Moderator
Joined: 22 Aug 2013
Posts: 1338
Location: India
Re: Maria drove a distance without stopping such that she covered first  [#permalink]

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06 Aug 2018, 21:46
Princ wrote:
amanvermagmat wrote:
Maria drove a distance without stopping such that she covered first 1/3 of distance in 3 hours and remaining distance in 4 hours. Sarah drove the same distance without stopping such that she drove for first 1/3 of total time at a speed of 60 mph and for remaining time at a speed of 45 mph. What is the total distance that each of them has covered?

(1) Sarah covered the distance in lesser time than Maria.

(2) Difference between the average speeds of Maria and Sarah is 10 mph.

amanvermagmat

I have doubt about the statement 2.

Let $$Av_{Maria}$$ be the Average speed of Maria and $$Av_{Sarah}$$ be the average speed of Sarah

Does Statement 2 means
$$|Av_{Maria}- Av_{Sarah}| = 10$$ or $$Av_{Maria}- Av_{Sarah} = 10$$

Quote:
In the following cases, order is important:
‘ quotient/ ratio of ’ construction If a problems says ‘the ratio of x and y’, it means ‘x divided by y’ NOT 'y divided by x'
‘ difference between/of ’ construction If the problem says ‘the difference of x and y’ it means ‘x – y’

Source: GMAT Club Math Book, Page: 34

According to GC Math Book,Statement 2 means $$Av_{Maria}- Av_{Sarah} = 10$$

Hello Princ

Sorry for late reply. But as per my understanding, 'difference between x and y' could mean either x-y or y-x, we cant say what unless something else is also mentioned.
Re: Maria drove a distance without stopping such that she covered first &nbs [#permalink] 06 Aug 2018, 21:46
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