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John and Tom leave the school at the same time to each of their houses

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Math Revolution GMAT Instructor
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John and Tom leave the school at the same time to each of their houses  [#permalink]

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New post 13 Feb 2017, 01:00
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (01:17) correct 42% (01:11) wrong based on 97 sessions

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John and Tom leave the school at the same time to each of their houses. Does John reach his house faster than Tom?

1) The distance between the school and John’s house is 10km farther than the distance between the school and Tom’s house
2) Tom’s speed is 80% of John’s speed.

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Re: John and Tom leave the school at the same time to each of their houses  [#permalink]

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New post 13 Feb 2017, 03:16
1
MathRevolution wrote:
John and Tom leave the school at the same time to each of their houses. Does John reach his house faster than Tom?

1) The distance between the school and John’s house is 10km farther than the distance between the school and Tom’s house
2) Tom’s speed is 80% of John’s speed.



Good Question.!!

answer will be C or E.

combining we know that speed of tom (t) = 0.8 John speed =0.8 J
also distance from school to Tom house is = X(let)
then distance of Johns home =x+10

per question is Time taken by John < time taken by TOm ??
as time = Distance / speed

x+10/j < x/0.8j

or is x>40

but we dont know that ie distance betwee tom house to school may be 20 then ans will be No or if distance will be 60 units then ans will be YES
combining is still insuff

Ans E
Math Revolution GMAT Instructor
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Re: John and Tom leave the school at the same time to each of their houses  [#permalink]

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New post 15 Feb 2017, 01:07
==> In the original condition, there are 5 variables (v1, t1, v2, t2, d) and 2 equations (v1t1=d and v2t2=d), and in order to match the number of variables to the number of equations, there must be 3 more equations. Since there is 1 for con 1) and 1 for con 2), E is most likely to be the answer. By solving con 1) and con 2), you cannot find the value of d, hence it is not sufficient.

The answer is E.
Answer: E
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Re: John and Tom leave the school at the same time to each of their houses  [#permalink]

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New post 17 Jul 2018, 09:41
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Re: John and Tom leave the school at the same time to each of their houses &nbs [#permalink] 17 Jul 2018, 09:41
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