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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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New post Updated on: 16 Feb 2017, 02:01
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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, 21:23.
Last edited by Bunuel on 16 Feb 2017, 02:01, edited 1 time in total.
Edited the question.
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Re: At an auto detailing company, it takes 15 minutes for an employee to  [#permalink]

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New post 15 Feb 2017, 22:15
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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

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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New post 16 Feb 2017, 01:42
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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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New post 16 Feb 2017, 10:15
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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New post 27 Jul 2018, 09:59
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Re: At an auto detailing company, it takes 15 minutes for an employee to &nbs [#permalink] 27 Jul 2018, 09:59
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