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Two cyclists, A and B, are 145 miles apart on a straight

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Two cyclists, A and B, are 145 miles apart on a straight [#permalink] New post 09 Dec 2017, 18:50
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Question Stats:

75% (01:38) correct 25% (01:56) wrong based on 12 sessions
Two cyclists, A and B, are 145 miles apart on a straight road. At 1:30 p.m., cyclist A begins riding at a constant speed of 20 miles per hour toward cyclist B. At 2:00 p.m., cyclist B begins riding toward cyclist A at a constant speed. At 5:00 p.m. they meet. How fast, in miles per hour, was cyclist B riding?

Drill 2
Question: 9
Page: 532-533


[Reveal] Spoiler: OA
25

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Joined: 25 Nov 2017
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Re: Two cyclists, A and B, are 145 miles apart on a straight [#permalink] New post 10 Dec 2017, 09:43
Hi

Cyclist A has already made 10 miles in the 30 minutes.
So we substract this from the total miles : 135 apart now.
We can set as follows : 135/ (20 + x) = 3
And solve for x. 25.
GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

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Re: Two cyclists, A and B, are 145 miles apart on a straight [#permalink] New post 29 Dec 2017, 16:44
Expert's post
Explanation

Cyclist A rode for 3.5 hours at 20 miles per hour, so she traveled 20 × 3.5 = 70 miles.
Cyclist B then, must have traveled 145 – 70 = 75 miles. Since Cyclist B left at 2:00, she rode for 3 hours, giving her a speed of 75 ÷ 3 = 25 miles per hour.
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Re: Two cyclists, A and B, are 145 miles apart on a straight   [#permalink] 29 Dec 2017, 16:44
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Two cyclists, A and B, are 145 miles apart on a straight

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