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# At an auto detailing company, it takes 15 minutes for an employee to

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At an auto detailing company, it takes 15 minutes for an employee to  [#permalink]

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Updated on: 16 Feb 2017, 03:01
5
00:00

Difficulty:

35% (medium)

Question Stats:

81% (02:10) correct 19% (03:24) wrong based on 77 sessions

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At an auto detailing company, it takes 15 minutes for an employee to service a car and 24 minutes to service a truck. If the company needs to service all 300 trucks and 360 cars on a lot during a six-hour shift, how many employees will it need to complete the job?

A. $$35$$
B. $$36$$
C. $$40$$
D. $$42$$
E. $$45$$

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Originally posted by hazelnut on 15 Feb 2017, 22:23.
Last edited by Bunuel on 16 Feb 2017, 03:01, edited 1 time in total.
Edited the question.
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Joined: 11 Aug 2016
Posts: 47
Location: India
Concentration: Operations, General Management
Schools: HBS '18, ISB '17, IIMA
GMAT 1: 710 Q49 V38
GPA: 3.95
WE: Design (Manufacturing)
Re: At an auto detailing company, it takes 15 minutes for an employee to  [#permalink]

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15 Feb 2017, 23:15
1
Total man-hours required to service 360 cars = 15*360/60=90 man-hours
Total man-hours required to service 300 trucks = 24*300/60=120 man-hours

So total hours required to service all the cars and trucks = 90+120=210

Each employee will work for 6 hours in a shift.

Number of employees required = 210/6 = 35

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Re: At an auto detailing company, it takes 15 minutes for an employee to  [#permalink]

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16 Feb 2017, 02:42
Total time taken for car = 360*15 mins;
Total time taken for truck = 300*24 mins;

So, total time = (360*15 + 300*24) mins = 60*(6*15 + 5*24) = 60*6*(15 + 5*4) mins;

Total employees required for 6 hours shift = 60*6*(15 + 5*4) = /(6*60) = 35. Answer A.
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Re: At an auto detailing company, it takes 15 minutes for an employee to  [#permalink]

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16 Feb 2017, 11:15
ziyuenlau wrote:
At an auto detailing company, it takes 15 minutes for an employee to service a car and 24 minutes to service a truck. If the company needs to service all 300 trucks and 360 cars on a lot during a six-hour shift, how many employees will it need to complete the job?

A. $$35$$
B. $$36$$
C. $$40$$
D. $$42$$
E. $$45$$

Another way...

15 minutes ----1 car
1hr ------4car
6 hr------24 car
no of men required for 360 cars = 360/24 = 15 men for car

Similarly

24 minutes ------1 truck
120 minutes(2 hr) ------5 truck
in 6 hrs --------15 trucks
no of men required for 300 trucks = 300/15 = 20 men for truck

thus total men = 15(for car)+ 20(for truck) = 35

Ans A
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Re: At an auto detailing company, it takes 15 minutes for an employee to  [#permalink]

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27 Jul 2018, 10:59
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Re: At an auto detailing company, it takes 15 minutes for an employee to &nbs [#permalink] 27 Jul 2018, 10:59
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