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

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

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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
[Reveal] Spoiler: OA

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Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If [#permalink]

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New post 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)

Please post OA and OE, to check if i had made any mistake.

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Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If [#permalink]

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New post 14 Jan 2018, 08:36
Hello hellosanthosh2k2

Your method and the answer are both absolutely correct!

Apologies for the delay..
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Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If [#permalink]

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New post 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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Re: In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If [#permalink]

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

Your method and the answer are both absolutely correct!

Apologies for the delay..


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

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