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04 Dec 2020, 01:15
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D
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Difficulty:
55%
(hard)
Question Stats:
68% (03:17) correct
32%
(03:07)
wrong
based on 225
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John leaves Town A. at 12:02 PM and drives to Town B. a distance of 120 miles. His average speed for the first 60 miles was 50 mph and for the final 60 miles it was 40 mph. Jim leaves Town A. at 12:20 PM and also drives to Town B. What must Jim's average speed be in order to arrive at Town B at the same time that John arrives?
A. 35 mph
B. 40 mph
C. 45 mph
D. 50 mph
E. 85 mph
Are You Up For the Challenge: 700 Level Questions
A. 35 mph
B. 40 mph
C. 45 mph
D. 50 mph
E. 85 mph
Are You Up For the Challenge: 700 Level Questions
Bryan180599
Joined: 07 Nov 2020
Last visit: 25 Mar 2022
Posts: 10
Given Kudos: 44
Location: Belgium
Schools: HEC MFin "23 ESSEC ESCP Europe HEC MiM "25
GMAT 1: 710 Q48 V38
04 Dec 2020, 02:18
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John leaves Town A. at 12:02 PM and drives to Town B. a distance of 120 miles. His average speed for the first 60 miles was 50 mph and for the final 60 miles it was 40 mph. Jim leaves Town A. at 12:20 PM and also drives to Town B. What must Jim's average speed be in order to arrive at Town B at the same time that John arrives?
First I use the formula of speed which is : v = d / t
John makes the first 60 miles at a speed of 50mph. Hence it took him t = d / v. 60/50 =1.2 (so 1 hour and 12 minutes). After that he drove at 40mph, hence t = 60/40 = 1.5 (or 1 hour and 30 minutes). So he arrived at town B at 14h44 (2:44PM)
Jim leaves at 12h20 and must arrive at 14h44. So he must drive 120miles for 2h24 (2.4 in decimal as 24/60 = 0.4). Hence his speed must be v = 120/2.4 = 50
Answer D
First I use the formula of speed which is : v = d / t
John makes the first 60 miles at a speed of 50mph. Hence it took him t = d / v. 60/50 =1.2 (so 1 hour and 12 minutes). After that he drove at 40mph, hence t = 60/40 = 1.5 (or 1 hour and 30 minutes). So he arrived at town B at 14h44 (2:44PM)
Jim leaves at 12h20 and must arrive at 14h44. So he must drive 120miles for 2h24 (2.4 in decimal as 24/60 = 0.4). Hence his speed must be v = 120/2.4 = 50
Answer D
04 Dec 2020, 07:26
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Bunuel
imho not 700-level question
JOHN time 60/50+60/40=1.2+1.5=2.7hrs
2.7hrs=2+7/10*60=2:42
JOHN arrives A-B 14:44
JIM leaves 12:20
JIM must arrive 14:44
2:24hrs=2+24/60=2.4
120/2.4=50
(D)
