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Peter left home and drove toward the family vacation house at an ave
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04 Aug 2022, 02:55
04 Aug 2022, 02:55
Expert Reply
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Question Stats:
92% (02:01) correct
7% (04:07) wrong based on 14 sessions
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Peter left home and drove toward the family vacation house at an average speed of 40 km/hour. Sophia left home some time later and, driving at 48 km/hr for five hours, caught up with Peter. At that time Peter had been driving for h hours.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
336 km |
The distance Sophia could drive in h hours at her current speed |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Peter left home and drove toward the family vacation house at an ave
[#permalink]
04 Aug 2022, 13:38
04 Aug 2022, 13:38
1
Carcass wrote:
Peter left home and drove toward the family vacation house at an average speed of 40 km/hour. Sophia left home some time later and, driving at 48 km/hr for five hours, caught up with Peter. At that time Peter had been driving for h hours.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
336 km |
The distance Sophia could drive in h hours at her current speed |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Peter's velocity: 40 km/h
Sophia's velocity : 48 km/h
hours driven by Peter: x
hours driven by Sophia: 5
Due to the fact that Sofia caught up with Peter at the same distance, we can set up the following euation:
48*5 = 40*x
with x= 6. Thus, we can calculate the distance that Sophia would have traveled if she had spent the same time that Peter spent travelling. It can be done by multiplying her velocity by the time Peter spent: 6*48 = 288.
A > B
Peter left home and drove toward the family vacation house at an ave
[#permalink]
12 Jan 2024, 03:12
12 Jan 2024, 03:12
2
As peter and Sophia met thus we can solve it by suing relative speed.
as Sophia need to drive for 5 hours to meet peter thus we can say after 5 hrs they both met.
Time = distance between two peter and Sophia / speed of Sophia - speed of peter
5 = 40 * (h-5) / 8
40 * (h-5) is distance between two peter and Sophia, D= S*T , S=40 by which peter is travelling , Time for which peter travel alone at starting is (h-5)
h= 6 hours
distance Sophia could drive in h hours at her current speed = 6 *48 =288
as Sophia need to drive for 5 hours to meet peter thus we can say after 5 hrs they both met.
Time = distance between two peter and Sophia / speed of Sophia - speed of peter
5 = 40 * (h-5) / 8
40 * (h-5) is distance between two peter and Sophia, D= S*T , S=40 by which peter is travelling , Time for which peter travel alone at starting is (h-5)
h= 6 hours
distance Sophia could drive in h hours at her current speed = 6 *48 =288
