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# Both Robert and Alice leave from the same location at 7:00 a.m. drivin

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Joined: 19 Feb 2010
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Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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17 Sep 2010, 03:20
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Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 30 miles per hour while Alice drives 40 miles per hour. After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?

A. 1 p.m.
B. 3 p.m.
C. 4 p.m.
D. 8 p.m.
E. 9 p.m.
[Reveal] Spoiler: OA

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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17 Sep 2010, 03:36
7:00 am so 6 hours later is 1:00 pm
In six hours, Robert will have driven 6*30 = 180 miles
In six hours, Alive will have driven 6*40 = 240 miles

So Robert needs 240-180 = 60 miles do catch Alice up.
So at 30 mph, he will need 2 hours

1:00 am + 2 hours = 3:00 am

ANS : B

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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17 Sep 2010, 08:35
You can also just calculate how far Alice will go in 6 hours (same as below):

6 hr * 40 mi/hr = 240 mi)

Then figure out how long it will take Robert to go the same distance:

240 mi / 30 mi/hr = 8 hr

7 am + 8 hr = 3 pm (if you know how to use 24-hr time, you can just do 7 + 8, which gets you 15 as in 1500 which is 3 pm).

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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17 Sep 2010, 10:54
cano wrote:
Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 30 miles per hour while Alice drives 40 miles per hour.
After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?

A. 1 p.m.
B. 3 p.m.
C. 4 p.m.
D. 8 p.m.
E. 9 p.m.

simply find the distance travelled by Alice it will 240
then we can find the time for Robert as we have distance and speed..!!
$$d=s*t$$

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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17 Sep 2010, 18:21
A 40 mph for 6 hrs....240m
R 30 mph for 6 hrs....180m

R need to travel... 240-180=60m ie 2 more hours...6+2..total 8 hours
started at 7 am so..3pm

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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17 Sep 2010, 19:17
Extra miles that alice travelled is 10*6 miles = 60 miles. To cover 60 Bob will take 2 hrs more. So effective time he takes is 8 hrs to reach alice
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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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06 Mar 2015, 18:54
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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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27 Aug 2017, 15:20
This one does not need relative speed to be calculated. It is a straight forward approach once you find the total distance traveled by one of the cars (which is essentially the same for both cars)

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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29 Aug 2017, 02:04
Distance travelled by alice in 6 hrs = Speed*time=40*6=240 miles
Time taken by Alex to Travel 240 miles = 240/30 {Distance =Speed*Time}=8hrs
Start at 7 a.m +8 hrs=1500 hrs (3.00p.m)

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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01 Sep 2017, 12:10
cano wrote:
Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 30 miles per hour while Alice drives 40 miles per hour. After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?

A. 1 p.m.
B. 3 p.m.
C. 4 p.m.
D. 8 p.m.
E. 9 p.m.

We see that Alice drives a total of 40 x 6 = 240 miles in 6 hours. During that time, Robert drives 6 x 30 = 180 miles. So, he has to drive 60 more miles or in 60/30 = 2 more hours.

So, he will reach Alice’s car at 7 a.m. + 8 hours = 3 p.m.

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin [#permalink]

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02 Sep 2017, 08:07
This is a basic rate problem.

In six hours, Alice will have driven 60 more miles than Bob because Alice drives 10 miles faster than Bob for 6 hours. To cover the additional 60 miles that Alice has driven, Bob will have to travel two more hours given his rate at 30mph. In totality, Bob will have to drive 8 miles to arrive at the same spot that Alice stopped at. 7am plus 8 hours is 3pm. Answer is B.

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Re: Both Robert and Alice leave from the same location at 7:00 a.m. drivin   [#permalink] 02 Sep 2017, 08:07
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