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# In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3327
Location: India
GPA: 3.12
In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If  [#permalink]

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12 Jan 2018, 12:21
1
5
00:00

Difficulty:

65% (hard)

Question Stats:

53% (02:31) correct 47% (02:26) wrong based on 70 sessions

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In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If Morton's three steps are equal to
Lindsey's four steps and Lindsey's speed is 7.5 miles/hour, what is Morton's(approximate) speed?

A. 6
B. 7
c. 8
D. 9
E. 10

Source: Experts Global

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Senior Manager
Joined: 02 Apr 2014
Posts: 473
GMAT 1: 700 Q50 V34
Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If  [#permalink]

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12 Jan 2018, 14:06
Let Morton's step distance be M
Let Lindsey's step distance be L.

Given: 3M = 4L
M = (4/3)*L

in a given time, while morton takes 4 steps, lindsey takes 5 steps

in given time x: Lindsey distance = 5L, Morton distance = 4M = 4 * (4/3) * L = (16/3) * L
so basically, the ratio of distance of the two: 16/3 : 5 => 16 : 15

so if in one hour, lindsey covers 7.5 miles, then in one hour morton will cover (i.e speed of morton)
(16/15) = x / 7.5
x = 8 m/hr (C)

Thanks
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3327
Location: India
GPA: 3.12
Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If  [#permalink]

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14 Jan 2018, 08:36
Hello hellosanthosh2k2

Apologies for the delay..
_________________

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Joined: 02 Aug 2009
Posts: 7108
Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If  [#permalink]

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14 Jan 2018, 08:48
pushpitkc wrote:
In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If Morton's three steps are equal to
Lindsey's four steps and Lindsey's speed is 7.5 miles/hour, what is Morton's(approximate) speed?

A. 6
B. 7
c. 8
D. 9
E. 10

Source: Experts Global

Let's get Morton's steps to same base... LCM of 3 and 4 is 12
Morton's 3 steps = L's 4...
So M's 3*4 or 12 =L's 4*4=16 steps...
But when M takes 4, L takes 5,
So when M takes 4*3, L takes 5*3
That is when K covers 15 steps, M covers 16 equivalent steps

Speed M: L =16:15...
If 7.5 is 15, 16 will be 16*7.5/15=8
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Senior Manager
Joined: 02 Apr 2014
Posts: 473
GMAT 1: 700 Q50 V34
Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If  [#permalink]

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14 Jan 2018, 21:12
pushpitkc wrote:
Hello hellosanthosh2k2

Apologies for the delay..

Thanks pushpitkc
Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If &nbs [#permalink] 14 Jan 2018, 21:12
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