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The maximum speed that a particular truck can travel is 80 m
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Updated on: 22 Jul 2019, 02:23
Updated on: 22 Jul 2019, 02:23
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57% (01:55) correct
42% (02:16) wrong based on 157 sessions
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The maximum speed that a particular truck can travel is 80 mph. Tim drives that truck on a long highway stretch of 280 miles. The first 120 miles stretch of the highway has a speed limit of 60 mph, whereas the rest of the distance speed limit is 90 mph. If Tim always remain within the speed limits and never drops below 40 mph, then which of the following could be the possible time taken by Tim to travel the entire journey?
(A) 3 hours 50 minutes
(B) 4 hours 20 minutes
(C) 5 hours 30 minutes
(D) 6 hours 45 minutes
(E) 7 hours 15 minutes
(F) 8 hours
(A) 3 hours 50 minutes
(B) 4 hours 20 minutes
(C) 5 hours 30 minutes
(D) 6 hours 45 minutes
(E) 7 hours 15 minutes
(F) 8 hours
Originally posted by anuppatel012 on 21 Jul 2019, 05:06.
Last edited by Carcass on 22 Jul 2019, 02:23, edited 1 time in total.
Last edited by Carcass on 22 Jul 2019, 02:23, edited 1 time in total.
Edited by Carcass
Re: The maximum speed that a particular truck can travel is 80 m
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22 Aug 2019, 23:00
22 Aug 2019, 23:00
3
For the first 120 miles the speed limit is 60 and Tim never drives below 40 mph. Hence for the first stretch the time he takes is between \(\frac{120}{40}\) = 3 hrs to \(\frac{120}{60}\) = 2 hrs.
For the rest of 160 miles he can drive at lowest speed of 40 miles per hr or within the max allowed speed limit of 80 miles per hr. There the time he takes for the second stretch is between \(\frac{160}{40}\) = 4 hrs to \(\frac{160}{80}\) = 2 hrs.
Hence he should take the total time to complete the journey between 4 to 7 hrs. Only option B,C and D satisfies the condition.
For the rest of 160 miles he can drive at lowest speed of 40 miles per hr or within the max allowed speed limit of 80 miles per hr. There the time he takes for the second stretch is between \(\frac{160}{40}\) = 4 hrs to \(\frac{160}{80}\) = 2 hrs.
Hence he should take the total time to complete the journey between 4 to 7 hrs. Only option B,C and D satisfies the condition.
Re: The maximum speed that a particular truck can travel is 80 m
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03 Jun 2021, 22:53
03 Jun 2021, 22:53
3
Max time in which he can reach (When speed in the lowest possible @ 40) = 280/40=7 hrs
Min time in which he can reach (When speed in the lowest possible @ 60 for 120 and 80 for 160)=2 hrs+ 2 hrs = 4 hrs
So all combinations in between is possible
Min time in which he can reach (When speed in the lowest possible @ 60 for 120 and 80 for 160)=2 hrs+ 2 hrs = 4 hrs
So all combinations in between is possible
