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If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile

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Bunuel
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If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile [#permalink] New post   04 Sep 2019, 02:59
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If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together?

A. 2 hours 12 minutes
B. 2 hours 24 minutes
C. 3 hours
D. 3 hours 12 minutes
E. 10 hours B
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B
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Mohammadmo
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Re: If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile [#permalink] New post   04 Sep 2019, 03:12
6*4/6+4=24/10=2.4
Which means 2 hours and 24 minutes.
Option B

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bebs
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If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile [#permalink] New post   Updated on: 04 Sep 2019, 07:56
Work to be done by Steve and Cheryl = Tile one floor
Combined rate:
Steve's rate = 1 floor per 6 hours = \(\frac{1}{6}\)
Cheryl's rate = 1 floor per 4 hours = \(\frac{1}{4}\)
Combined rate = \(\frac{1}{6}\) + \(\frac{1}{4}\) = \(\frac{2}{12}\) + \(\frac{3}{12}\) = \(\frac{5}{12}\)
Time = \(\frac{Work}{Rate}\) = 1 × \(\frac{12}{5}\) = \(\frac{12}{5}\) hours = 2\(\frac{2}{5}\) hours = 2 hours and \(\frac{2}{5}\)(60 minutes) = 2 hours and 24 minutes (B)

Originally posted by bebs on 04 Sep 2019, 05:50.
Last edited by bebs on 04 Sep 2019, 07:56, edited 1 time in total.
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Re: If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile [#permalink] New post   04 Sep 2019, 07:51
Bunuel wrote:
If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together?

A. 2 hours 12 minutes
B. 2 hours 24 minutes
C. 3 hours
D. 3 hours 12 minutes
E. 10 hours B

Let the total work be 12 (LCM of 6 & 4 )

Efficiency of Steve is 2 & Efficiency of Cheryl is 3

Combined efficiency of Steve and Cheryl is 5

Time required to complete the work is 12/5 = 2&2/5 or 2 hours 24 minutes, Answer must be (B)
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Re: If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile [#permalink] New post   05 Sep 2019, 01:39
Bunuel wrote:
If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together?

A. 2 hours 12 minutes
B. 2 hours 24 minutes
C. 3 hours
D. 3 hours 12 minutes
E. 10 hours B


combined rate ; 10/24 ; 24/10 hrs
or say 2 hrs 24 mins
IMO B
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Re: If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile [#permalink] New post   15 Oct 2019, 13:42
Bunuel wrote:
If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together?

A. 2 hours 12 minutes
B. 2 hours 24 minutes
C. 3 hours
D. 3 hours 12 minutes
E. 10 hours B


Let work be 24 units.

S does 4 units each hour and C does 6 units. Together they do 10 units per hour.

First they will take 2 hours to complete 20 units. For the remaining 4 units, it will take 1/4th of the hour. That is 24 more minutes.

So in total 2 hours 24 minutes.

hence B
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Re: If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile [#permalink]
15 Oct 2019, 13:42
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