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John leaves from his home at 10 AM and starts driving towards a city

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Director
Joined: 18 Feb 2019
Posts: 582
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
John leaves from his home at 10 AM and starts driving towards a city  [#permalink]

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30 Mar 2019, 07:25
00:00

Difficulty:

65% (hard)

Question Stats:

50% (03:28) correct 50% (03:11) wrong based on 22 sessions

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John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)

I. John reaches the city before Martin
II. At 1:30 PM, John is 55 kilometres ahead of Martin
III. Martin overtake John at 4 PM

A. I only
B. II only
C. III only
D. I and II only
E. II and III only
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
Re: John leaves from his home at 10 AM and starts driving towards a city  [#permalink]

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30 Mar 2019, 08:20
kiran120680 wrote:
John leaves from his home at 10 AM and starts driving towards a city that is 300 kilometres away, at a constant speed of 50 miles per hour. His brother Martin leaves the home at 11:30 AM and starts driving on the same route at a constant speed of 60 miles per hour. If they stop driving once they reach the city, which of the following statements must be true? (1 mile = 1.6 kilometres)

I. John reaches the city before Martin
II. At 1:30 PM, John is 55 kilometres ahead of Martin
III. Martin overtake John at 4 PM

A. I only
B. II only
C. III only
D. I and II only
E. II and III only

1. John starts his journey an an hour and a half before Martin
2. John travels at the speed of 50 km/hr. So in 90 minutes, he would have travelled
75 kms. Martin travels at speed of 60 km(he will travel 10 km extra each hour)

I. John reaches the city before Martin
John will travel 300 km in 5 hours(from 10 AM). Because Martin starts aqn hour and
a half later, he will travel for 3 and a half hours(distance = 3.5*50 = 210). So, this
statement is TRUE

II. At 1:30 PM, John is 55 kilometres ahead of Martin
At 1:30, John would have travelled 225 kms(75 kms before 11:30 and 150 kms after)
Since Martin begins his travel at 11:30 - At 1:30(3 hours later) he will travel 180 kms.
John will be 45(225 - 180) kms ahead. This statement is FALSE

III. Martin overtake John at 4 PM
At 3 PM, John would have travelled 125 kms more since 1:30 and reached the destination.
Maring would have have travelled 90 kms more or a total of 270 kms. Since they don't
drive once they reach the city, Martin does not overtake John. This statement is FALSE

Therefore, (I only)Option A is the answer option which must be TRUE
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Re: John leaves from his home at 10 AM and starts driving towards a city   [#permalink] 30 Mar 2019, 08:20
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