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Xavier and Adam are riding motorcycles down the highway at constant sp

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Xavier and Adam are riding motorcycles down the highway at constant sp [#permalink]

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New post 21 Mar 2017, 05:28
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Xavier and Adam are riding motorcycles down the highway at constant speeds. If Xavier is now 2 miles ahead of Adam, how many minutes before Xavier is 3 miles ahead of Adam?

(1) Xavier is traveling at 58 miles per hour.
(2) Adam is traveling at 52 miles per hour.

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Re: Xavier and Adam are riding motorcycles down the highway at constant sp [#permalink]

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New post 21 Mar 2017, 05:36
In order to find out when Xavier will over-take Adam,
we will need to know his relative speed with regard to Adam.
Hence, with the information given in either 1 or 2, it is not possible to find out the time.
But with both the statements, we can find out the time taken(Option C)
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Re: Xavier and Adam are riding motorcycles down the highway at constant sp [#permalink]

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New post 21 Mar 2017, 10:32
pushpitkc wrote:
In order to find out when Xavier will over-take Adam,
we will need to know his relative speed with regard to Adam.
Hence, with the information given in either 1 or 2, it is not possible to find out the time.
But with both the statements, we can find out the time taken(Option C)



Hi pushpitkc

could u please show your work...!!!!! :)
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Re: Xavier and Adam are riding motorcycles down the highway at constant sp [#permalink]

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New post 03 Aug 2017, 22:26
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Bunuel wrote:
Xavier and Adam are riding motorcycles down the highway at constant speeds. If Xavier is now 2 miles ahead of Adam, how many minutes before Xavier is 3 miles ahead of Adam?

(1) Xavier is traveling at 58 miles per hour.
(2) Adam is traveling at 52 miles per hour.


1. Not sufficient.
2. Not sufficient.

1+2: Xavier's relative distance per hour is (58-52)=6 miles. This means, Xavier is 6 miles ahead per hour. So, the time taken to be 3 miles ahead before 2 miles ahead will be \(\frac{60}{6}*3-\frac{60}{6}*2=10\) minutes.

Answer is C.
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Re: Xavier and Adam are riding motorcycles down the highway at constant sp   [#permalink] 03 Aug 2017, 22:26
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