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# QUANTITATIVE SECTION 6 :- ques10 of 20 ID: Q01-86 GGREClub

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QUANTITATIVE SECTION 6 :- ques10 of 20 ID: Q01-86 GGREClub [#permalink]  22 Sep 2017, 11:37
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Question Stats:

100% (01:33) correct 0% (00:00) wrong based on 1 sessions
It takes Joey the postman 1 hours to run a 3 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?

a 11
b 12
c 13
d 14
e 15

Answer given is 12

But it should be 15 and here is my reasoning-

let his speed for first half of the journey be 3 miles an hour

let the return journey (2nd half) be x miles an hour
now,

avg speed =5 mile an hour

we know if the Av speed = $$\frac{2*x1 *x2}{x1+x2}$$ (Where X1 = speed m/hr in first half and X2 = speed in 2nd half)

(Plz Note - This formula only hold valid if both forward and return journey covered equal distance as in this case)

therefore $$\frac{2*3*x}{3+x}$$=5

Solving for X we get x=15 m/hr
[Reveal] Spoiler: OA

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Director
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Re: QUANTITATIVE SECTION 6 :- ques10 of 20 ID: Q01-86 GGREClub [#permalink]  22 Sep 2017, 22:08
Hi everybody plz check my reasoning so that I know Iam in the right track.

Many thanks in Advance
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Re: QUANTITATIVE SECTION 6 :- ques10 of 20 ID: Q01-86 GGREClub [#permalink]  26 Sep 2017, 05:51
pranab01 wrote:
Hi everybody plz check my reasoning so that I know Iam in the right track.

Many thanks in Advance

You are definitely right. I've used a similar approach:

$$5\frac{m}{h}=\frac{3m+3m}{1h+Xh}$$

using the definition of average speed. Then, I find Xh, i.e. the time spent in doing the return trip

$$Xh=\frac{1}{5}h=12min$$

That's where 12 appears. But it is the time spent not the speed.

Finally, to get the average speed of the return trip I just have to compute

$$\frac{3m}{\frac{1}{5}h}=3m*5h=15\frac{m}{h}$$

Answer E!
Re: QUANTITATIVE SECTION 6 :- ques10 of 20 ID: Q01-86 GGREClub   [#permalink] 26 Sep 2017, 05:51
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# QUANTITATIVE SECTION 6 :- ques10 of 20 ID: Q01-86 GGREClub

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