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Jon and Jess are at two ends of a flat , 900 foot long field

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Jon and Jess are at two ends of a flat , 900 foot long field [#permalink]

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New post 31 Oct 2017, 11:18
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A
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Difficulty:

  15% (low)

Question Stats:

75% (01:24) correct 25% (01:15) wrong based on 52 sessions

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Jon and Jess are at two ends of a flat , 900 foot long field . Jon runs 10 feet per second while Jess runs 15 feet per second. If they both begin running towards one another, at the same time, how many seconds will it take for them to meet?

A. 25
B. 36
C. 48
D. 60
E. 72
[Reveal] Spoiler: OA

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Re: Jon and Jess are at two ends of a flat , 900 foot long field [#permalink]

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New post 31 Oct 2017, 11:29
It can be done manually by options.

Take 2 ends. 1st as 0 and 2nd as 900.
Jon runs 25 seconds at 10f/s reaches 650.
Jess runs 25 seconds at 15f/s, reaches 425.

Jon runs 36 seconds at 10f/s, reaches 540.
Jess runs 36 seconds at 15f/s, reaches 540.
Correct option B.

It seems lengthy but doesn't take more than 1 minute, if one's addition and multiplication skills are good.


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Re: Jon and Jess are at two ends of a flat , 900 foot long field [#permalink]

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New post 31 Oct 2017, 11:34
Skywalker18 wrote:
Jon and Jess are at two ends of a flat , 900 foot long field . Jon runs 10 feet per second while Jess runs 15 feet per second. If they both begin running towards one another, at the same time, how many seconds will it take for them to meet?

A. 25
B. 36
C. 48
D. 60
E. 72


time taken to meet two bodies travelling towards each other = total distance / (relative speed)
relative speed here is 10+15 = 25 f/s
time = 900/25 = 36
IMO B
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Re: Jon and Jess are at two ends of a flat , 900 foot long field [#permalink]

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New post 01 Nov 2017, 22:35
They are running each other.
So relative speed equal to 15+10
total distance equal to 900
so time = 900/25
= 36
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Re: Jon and Jess are at two ends of a flat , 900 foot long field [#permalink]

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New post 05 Nov 2017, 08:28
Skywalker18 wrote:
Jon and Jess are at two ends of a flat , 900 foot long field . Jon runs 10 feet per second while Jess runs 15 feet per second. If they both begin running towards one another, at the same time, how many seconds will it take for them to meet?

A. 25
B. 36
C. 48
D. 60
E. 72


We can use the following formula:

Jon’s distance + Jess’s distance = total distance

We can let the time they each run = t, and thus:

10t + 15t = 900

25t = 900

t = 36 seconds

Answer: B
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Re: Jon and Jess are at two ends of a flat , 900 foot long field   [#permalink] 05 Nov 2017, 08:28
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