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# Ted and Robin start from the same point at 7 AM and drive in opposite

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Director
Joined: 18 Feb 2019
Posts: 580
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Ted and Robin start from the same point at 7 AM and drive in opposite  [#permalink]

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29 Mar 2019, 12:44
1
1
00:00

Difficulty:

45% (medium)

Question Stats:

72% (03:24) correct 28% (03:34) wrong based on 32 sessions

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Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?

A. 195
B. 485
C. 525
D. 645
E. 675
Intern
Joined: 12 Jul 2016
Posts: 16
Location: India
GMAT 1: 690 Q50 V32
GPA: 3.74
Ted and Robin start from the same point at 7 AM and drive in opposite  [#permalink]

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29 Mar 2019, 13:53
6
2
Total journey time is 6hrs(7am to 1pm)

Ted started his journey with speed 10km/hr.
He double his speed every 90 minutes or 1.5 hours.
So Ted changed his speed 4 times during the entire journey.
Hours. Speed Distance
1.5hrs. 10 Km/hr 15km
Next 1.5 hrs 20 km/hr 30km
Next 1.5 hrs 40 km/hr 60km
Next 1.5 hrs 80 km/hr 120km

Total distance traveled by Ted is 225km.

Robin started with speed 120km/hr.
She reduced her speed by half in every 120 minutes or 2 hours.
So Robin changed her speed 3 times during the entire journey.
Hours. Speed Distance
2hrs 120km/hr 240km
Next 2 hrs 60 km/hr 120km
Next 2 hrs 30 km/hr 60km

Total distance traveled by Robin is 420km.

Since Ted and Robin were traveling in opposite directions, total distance traveled by both = 225 + 420 = 645km (Answer option D)

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Manager
Joined: 28 Jan 2019
Posts: 97
Location: India
GMAT 1: 700 Q49 V36
GPA: 4
WE: Manufacturing and Production (Manufacturing)
Re: Ted and Robin start from the same point at 7 AM and drive in opposite  [#permalink]

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29 Mar 2019, 23:40
1
kiran120680 wrote:
Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?

A. 195
B. 485
C. 525
D. 645
E. 675

Hey, the question asked is "how far from one another", so shouldn't the answer be A?
_________________
"Luck is when preparation meets opportunity!"
Intern
Joined: 12 Jul 2016
Posts: 16
Location: India
GMAT 1: 690 Q50 V32
GPA: 3.74
Re: Ted and Robin start from the same point at 7 AM and drive in opposite  [#permalink]

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30 Mar 2019, 08:30
6
OhsostudiousMJ wrote:
kiran120680 wrote:
Ted and Robin start from the same point at 7 AM and drive in opposite directions. Ted doubles his speed after every 90 minutes whereas Robin reduces her speed by half after every 120 minutes. If Ted starts driving at a speed of 10 kilometers/hour and Robin starts driving at a speed of 120 kilometers/hour, how far in kilometers will they be from one another at 1 PM?

A. 195
B. 485
C. 525
D. 645
E. 675

Hey, the question asked is "how far from one another", so shouldn't the answer be A?

Since Ted and Robin were traveling in opposite directions, total distance traveled by both = 225 + 420 = 645km (Answer option D)
Re: Ted and Robin start from the same point at 7 AM and drive in opposite   [#permalink] 30 Mar 2019, 08:30
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# Ted and Robin start from the same point at 7 AM and drive in opposite

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