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What is the distance between Harry s home and his office?

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What is the distance between Harry s home and his office? [#permalink] New post 10 Nov 2011, 15:50
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

71% (01:56) correct 29% (00:47) wrong based on 210 sessions
What is the distance between Harry’s home and his office?

(1) Harry’s average speed on his commute to work this Monday was 30 miles per hour.
(2) If Harry’s average speed on his commute to work this Monday had been twice as fast, his trip would have been 15 minutes shorter.

[Reveal] Spoiler:
Can someone please explain whether I have done it correctly or not?

Let d - distance between Harry's home and office
r - Rate
t - time

Considering Statement 1

Rate = Distance/Time
Distance = Rate * Time i.e D = 30 t. We can't calculate D unless we know t. Therefore, insufficient.

Considering Statement 2 on its own is clearly insufficient.

Considering both Statements together

If the speed remains 30mph then time will be 30 minutes { Is his correct?}

Therefore, D = r*t = 30 * 30/60 = 15 miles. Therefore, C is the right answer.
[Reveal] Spoiler: OA

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Re: Distance between office and work - Ivy Q17 [#permalink] New post 10 Nov 2011, 17:09
enigma123 wrote:
What is the distance between Harry’s home and his office?
(1) Harry’s average speed on his commute to work this Monday was 30 miles per hour.
(2) If Harry’s average speed on his commute to work this Monday had been twice as fast, his trip would have been 15 minutes shorter.

Can someone please explain whether I have done it correctly or not?

Let d - distance between Harry's home and office
r - Rate
t - time

Considering Statement 1

Rate = Distance/Time
Distance = Rate * Time i.e D = 30 t. We can't calculate D unless we know t. Therefore, insufficient.

Considering Statement 2 on its own is clearly insufficient.

Considering both Statements together

If the speed remains 30mph then time will be 30 minutes { Is his correct?}

Therefore, D = r*t = 30 * 30/60 = 15 miles. Therefore, C is the right answer.


If the speed remains 30mph then time will be 30 minutes - Absolutely Correct!!!!
D = r*t = 30 * 30/60 = 15 miles. - Method of solving this problem is correct.

C is indeed the answer.
Cheers!
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Re: What is the distance between Harry s home and his office? [#permalink] New post 08 Feb 2012, 05:45
Agree with C.

As per the second statement, if he had traveled twice the speed, he would have saved half of the time. Combining this with the first statement, we come to know half of the time is 15 min and hence total or actual time would be 30min. Now we know speed and time and hence we can calculate distance.
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Re: What is the distance between Harry s home and his office? [#permalink] New post 19 Sep 2013, 09:37
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Re: What is the distance between Harry s home and his office? [#permalink] New post 15 Feb 2014, 09:03
Though a long method for DS, but solved it as

Distance between home and office = d

I) Speed s= 30mph.
No other info provided, hence Insufficient

II) Original Speed = s
Original Time = t
New Speed = 2s
New Time = (t-0.25) [15 mins = 0.25hrs)

Distance is same, hence

s*t = 2s(t-0.25)
Solving results in t=0.5 hrs.

No info about speed hence, Insufficient.

I&II ) s= 30mph
t= 0.5hrs
d= s*t => 15miles. Ans: C
Re: What is the distance between Harry s home and his office?   [#permalink] 15 Feb 2014, 09:03
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