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# A car of length 4m wants to overtake a trailer truck of length 20m tra

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Math Expert
Joined: 02 Sep 2009
Posts: 65761
A car of length 4m wants to overtake a trailer truck of length 20m tra  [#permalink]

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20 Apr 2020, 08:28
1
1
00:00

Difficulty:

55% (hard)

Question Stats:

64% (01:57) correct 36% (02:16) wrong based on 59 sessions

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A car of length 4m wants to overtake a trailer truck of length 20m travelling at 36km/hr within 10 seconds. At what speed should the car travel?

A. 7.6 m/s
B. 12 m/s
C. 12.4 m/s
D. 14.8 m/s
E. 15.4 m/s

Are You Up For the Challenge: 700 Level Questions

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Joined: 02 Mar 2020
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GMAT 1: 720 Q50 V48
Re: A car of length 4m wants to overtake a trailer truck of length 20m tra  [#permalink]

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20 Apr 2020, 08:34
v - 10 (m/s) = 24/10

v = 12.4 m/s
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Re: A car of length 4m wants to overtake a trailer truck of length 20m tra  [#permalink]

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21 Apr 2020, 07:57
1
Bunuel wrote:
A car of length 4m wants to overtake a trailer truck of length 20m travelling at 36km/hr within 10 seconds. At what speed should the car travel?

A. 7.6 m/s
B. 12 m/s
C. 12.4 m/s
D. 14.8 m/s
E. 15.4 m/s

Are You Up For the Challenge: 700 Level Questions

total distance to be covered = 24 m
speed of truck ; 36 * 5/18 ; 10 m/s
relative speed = speed of car(x)- speed of truck
speed =distance / time

x-10=24/10
x=12.4 m/s
Option C
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Joined: 24 Nov 2016
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Location: United States
Re: A car of length 4m wants to overtake a trailer truck of length 20m tra  [#permalink]

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23 Jun 2020, 06:26
Bunuel wrote:
A car of length 4m wants to overtake a trailer truck of length 20m travelling at 36km/hr within 10 seconds. At what speed should the car travel?

A. 7.6 m/s
B. 12 m/s
C. 12.4 m/s
D. 14.8 m/s
E. 15.4 m/s

Are You Up For the Challenge: 700 Level Questions

distance to overtake trailer:
4+20m=24m

convert speed km/hr to m/s:
36/1*1/60min*1/60sec*1000m/1=36000/3600=10m/s

relative rates same direction (subtract):
distance/(r1-r2)=10secs
24/x-10=10, 24=10x-100, x=124/10=12.4m/s

Ans (C)
Re: A car of length 4m wants to overtake a trailer truck of length 20m tra   [#permalink] 23 Jun 2020, 06:26