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16 Nov 2020, 02:45
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Difficulty:
55%
(hard)
Question Stats:
72% (02:59) correct
28%
(03:40)
wrong
based on 183
sessions
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Time
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Not Attempted Yet
Lorenzo traveled 120 miles by automobile to visit his brother. The first segment of the trip required Lorenzo to drive on 10 miles of city roads before he reached the interstate highway and accelerated to a constant speed of 60 mph. The last segment of the trip was a 10 mile journey over country roads on which Lorenzo averaged 50 miles per hour. If the entire trip took Lorenzo 2 hours and 22 minutes, what was his average speed in miles per hour for the portion of the route between his home and the interstate highway?
A. 15
B. 20
C. 25
D. 30
E. 40
A. 15
B. 20
C. 25
D. 30
E. 40
Updated on: 22 Nov 2020, 21:22
Originally posted by rajatchopra1994 on 16 Nov 2020, 03:00.
Last edited by rajatchopra1994 on 22 Nov 2020, 21:22, edited 1 time in total.
Last edited by rajatchopra1994 on 22 Nov 2020, 21:22, edited 1 time in total.
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Explanation:
Total Distance = 120 miles
Total time = 2 hr 22 mins =144 mins Typo Error = 142min jerryjz2690 ndj5y2 {Edited my typo erro}
Time Taken to cover last segment of trip = 10 /50 = 1/5 hr = 12 mins
Time taken to cover middle segmentrip of trip = 100 / 60 = 5/3 hr =100 mins
Time Taken to cover first segment of trip =144 142 - 112 = 30 mins = 1/2hr
Distance of cover in first segment = 10 miles
Speed = 10 / (1/2) = 20
IMO-B
Total Distance = 120 miles
Total time = 2 hr 22 mins =
Time Taken to cover last segment of trip = 10 /50 = 1/5 hr = 12 mins
Time taken to cover middle segmentrip of trip = 100 / 60 = 5/3 hr =100 mins
Time Taken to cover first segment of trip =
Distance of cover in first segment = 10 miles
Speed = 10 / (1/2) = 20
IMO-B
Updated on: 24 Nov 2020, 00:51
Originally posted by jerryjz2690 on 18 Nov 2020, 22:41.
Last edited by jerryjz2690 on 24 Nov 2020, 00:51, edited 2 times in total.
Last edited by jerryjz2690 on 24 Nov 2020, 00:51, edited 2 times in total.
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rajatchopra1994
I used the same process, but I got 144 - 112 = 32 minutes = 32/60 hr
The rate for the first segment is 18.75 mph
Edit: I made a simple arithmetic mistake. It is 142 - 112 = 30 minutes = 1/2 hour
Thank you
