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04 Aug 2024, 11:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:58) correct
32%
(03:02)
wrong
based on 56
sessions
History
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Alex and James start running towards each other from two towns 40 kilometers apart. Alex runs at a constant speed of 9 kilometers per hour while James runs at a constant speed of 11 kilometers per hour. At the same time, Alfred starts cycling towards James from the same starting point as Alex at a constant speed of 15 kilometers per hour. Once he reaches James, he turns around and starts cycling towards Alex. Upon reaching Alex, he turns again and starts cycling towards James. This process is repeated until Alex and James cross each other. In this process, how much distance does Alfred cycle?
A. 18 kilometers
B. 22 kilometers
C. 30 kilometers
D. 40 kilometers
E. 80 kilometers
A. 18 kilometers
B. 22 kilometers
C. 30 kilometers
D. 40 kilometers
E. 80 kilometers
04 Aug 2024, 12:23
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In the first case
distance between Alfred and James is 40km
Time they meet = 40/26= 1.53h
Alfred will travel approx = 23km
James = 16.83km
Alex = 13.84km
Second run
Distance between Alfred and Alex 9.2km
Time taken to meet
=9.2/24 = 0.383h
Within the period Alfred will travel 5.75km
Alex = 3.447
James = 4.2km
Third run
Now distance between Alfred and James = approx 1.5km
Time they meet = 1.5/26
=0.06h
Alfred travel approx 0.91km
Alex = 0.54km
James = 0.66km
By this time distance traveled by both Alex and James
13.86 + 3.44+ 0.54 + 0.66 + 4.2 + 16.94 = approx 40km, which means they have met.
Total distance covered by Alfred = 23.07 + 5.75 + 0.91 = approx 30km
Answer C
Adewale Fasipe, GMAT quant instructor Lagos Nigeria.
distance between Alfred and James is 40km
Time they meet = 40/26= 1.53h
Alfred will travel approx = 23km
James = 16.83km
Alex = 13.84km
Second run
Distance between Alfred and Alex 9.2km
Time taken to meet
=9.2/24 = 0.383h
Within the period Alfred will travel 5.75km
Alex = 3.447
James = 4.2km
Third run
Now distance between Alfred and James = approx 1.5km
Time they meet = 1.5/26
=0.06h
Alfred travel approx 0.91km
Alex = 0.54km
James = 0.66km
By this time distance traveled by both Alex and James
13.86 + 3.44+ 0.54 + 0.66 + 4.2 + 16.94 = approx 40km, which means they have met.
Total distance covered by Alfred = 23.07 + 5.75 + 0.91 = approx 30km
Answer C
Adewale Fasipe, GMAT quant instructor Lagos Nigeria.
04 Aug 2024, 22:12
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This means Alfred will cycle until Alex and James meet each other.
Time to meet Alex and James is 40/(9+11)=2hrs.
So Alfred will cycle for 2 hrs and will cover a distance of 15*2=30 kms.
IMO Ans C.
Time to meet Alex and James is 40/(9+11)=2hrs.
So Alfred will cycle for 2 hrs and will cover a distance of 15*2=30 kms.
IMO Ans C.
