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# Steve, a construction supervisor, has to dig a big ditch. Steve knows

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Manager
Joined: 26 Dec 2018
Posts: 144
Location: India
Steve, a construction supervisor, has to dig a big ditch. Steve knows  [#permalink]

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24 Jan 2019, 06:17
1
2
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:58) correct 8% (00:48) wrong based on 29 sessions

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Steve, a construction supervisor, has to dig a big ditch. Steve knows that Bill can dig the ditch in 4 hours and that Joe can dig the same ditch in 3 hours. Steve hires both Bill and Joe to dig the ditch. Assuming that Bill and Joe work together, how long will it take to complete digging the ditch?

A) 7 hours

B) 3.5 hours

C) 12/7 hours

D) 2 hours

E) 1.5 hours

SOURCE: PLATINUM GMAT

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Joined: 09 Mar 2018
Posts: 996
Location: India
Re: Steve, a construction supervisor, has to dig a big ditch. Steve knows  [#permalink]

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24 Jan 2019, 07:26
UB001 wrote:
Steve, a construction supervisor, has to dig a big ditch. Steve knows that Bill can dig the ditch in 4 hours and that Joe can dig the same ditch in 3 hours. Steve hires both Bill and Joe to dig the ditch. Assuming that Bill and Joe work together, how long will it take to complete digging the ditch?

A) 7 hours

B) 3.5 hours

C) 12/7 hours

D) 2 hours

E) 1.5 hours

SOURCE: PLATINUM GMAT

Work = rate * time

rate ( B) = 12/4 = 3 m/hr

rate (J) = 12/3 = 4 m/hr

12 =7 * t

T = 12/7

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Re: Steve, a construction supervisor, has to dig a big ditch. Steve knows  [#permalink]

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24 Jan 2019, 07:41
UB001 wrote:
Steve, a construction supervisor, has to dig a big ditch. Steve knows that Bill can dig the ditch in 4 hours and that Joe can dig the same ditch in 3 hours. Steve hires both Bill and Joe to dig the ditch. Assuming that Bill and Joe work together, how long will it take to complete digging the ditch?

A) 7 hours

B) 3.5 hours

C) 12/7 hours

D) 2 hours

E) 1.5 hours

SOURCE: PLATINUM GMAT

Let the total work be 12 units (LCM of 3 & 4)

Efficiency of Bill = 3units/hour
Efficiency of Joe = 4 units/hour

Total efficiency of Bill & Joe is = 7 units/hour

Total Time required to complete digging the ditch is $$\frac{12}{7}$$, Answer must be (C)
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Re: Steve, a construction supervisor, has to dig a big ditch. Steve knows   [#permalink] 24 Jan 2019, 07:41
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