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06 Aug 2023, 03:00
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A
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Difficulty:
45%
(medium)
Question Stats:
76% (02:42) correct
24%
(02:57)
wrong
based on 1342
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City A and City B are located 610 kilometers (km) apart from each other on Highway X. At 8:00 a.m., Alonzo began driving along Highway X from City A to City B at an average driving speed of 90 kilometers per hour (km/h). At 9:30 a.m., on the same day, Ryan began driving along Highway X from City B to City A at an average driving speed of 100 km/h. How long, in hours and minutes to the nearest minute, did Ryan drive before meeting Alonzo on Highway X ?
A. 2 hours 30 minutes
B. 2 hours 50 minutes
C. 3 hours 13 minutes
D. 3 hours 55 minutes
E. 4 hours 0 minutes
A. 2 hours 30 minutes
B. 2 hours 50 minutes
C. 3 hours 13 minutes
D. 3 hours 55 minutes
E. 4 hours 0 minutes
07 Aug 2023, 04:31
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Bunuel
Alonzo (from A to B):
Since Alonzo began driving 1.5 hours earlier than Ryan, Alonzo drove 1.5 hours more than Ryan until they met.
rate = 90 km/h
time = t + 1.5 h
distance = rate × time = 90(t +1.5) = 90t + 135 km
Ryan (from B to A):
rate = 100 km/h
time = t h
distance = rate × time = 100t km
Until they met:
distance₁ + distance₂ = total distance
90t + 135 + 100t = 610
190t = 475
t = 475/190 = 95/38 = 5/2 h = 2 h 30 min
Answer: A
06 Aug 2023, 11:53
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City A and City B are located 610 kilometers (km) apart from each other on Highway X. At 8:00 a.m., Alonzo began driving along Highway X from City A to City B at an average driving speed of 90 kilometers per hour (km/h). At 9:30 a.m., on the same day, Ryan began driving along Highway X from City B to City A at an average driving speed of 100 km/h. How long, in hours and minutes to the nearest minute, did Ryan drive before meeting Alonzo on Highway X ?
Distance travelled by Alonzo from 8 am to 9:30 am => 90 * 1.5 = 135 Km
Distance left to travelled by Alonzo = 610-135=475
Meeting time = Distance left/Relative velocity= 475/(100+90)=475/190=2.5 hours = 2 hours 30 minutes
therefore A
Distance travelled by Alonzo from 8 am to 9:30 am => 90 * 1.5 = 135 Km
Distance left to travelled by Alonzo = 610-135=475
Meeting time = Distance left/Relative velocity= 475/(100+90)=475/190=2.5 hours = 2 hours 30 minutes
therefore A
