Two buses having equal lengths, take 15 seconds and 22.5 seconds respectively to cross a post. If the length of each bus is 180 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

12 sec

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16 sec

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18 sec

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15 sec

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None of these

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Solution

The correct option is C
18 sec

Speed of $1^{s t}$ bus = 180/15 = 12 m/s

Speed of $2^{n d}$ bus = 180/22.5 = 8 m/s

If they travel in opposite direction, relative speed = 12+8 = 20 m/s

Distance covered = 180 + 180 = 360 m

Time = distance/speed = 360/20 = 18 s

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Two buses having equal lengths, take 15 seconds and 22.5 seconds respectively to cross a post. If the length of each bus is 180 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

The correct option is C 18 sec Speed of 1st bus = 180/15 = 12 m/s Speed of 2nd bus = 180/22.5 = 8 m/s If they travel in opposite direction, relative speed = 12+8 = 20 m/s Distance covered = 180 + 180 = 360 m Time = distance/speed = 360/20 = 18 s

The correct option is C
18 sec

Speed of $1^{s t}$ bus = 180/15 = 12 m/s

Speed of $2^{n d}$ bus = 180/22.5 = 8 m/s

If they travel in opposite direction, relative speed = 12+8 = 20 m/s

Distance covered = 180 + 180 = 360 m

Time = distance/speed = 360/20 = 18 s