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17. A bus shuttles between two neighbouring towns every two hours. It starts from 8 AM in the morning and the last trip is at 6 PM. On one day the driver observed that the first trip had 30 passengers and each subsequent trip had one passenger less than the previous trip. How many passengers travelled on that day ?
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Please find below the solution to the asked query:
Given : A bus shuttles between two neighbouring towns every two hours. It starts from 8 AM in the morning and the last trip is at 6 PM. So
Bus starts trip at : 8 AM , 10 AM , 12 noon , 2 PM , 4 PM and 6 PM
Total number of trips = 6
On one day the driver observed that the first trip had 30 passengers and each subsequent trip had one passenger less than the previous trip. So
Total number of passengers travelled on that day = 30 + ( 30 - 1 ) + ( 30 - 2 ) + ( 30 - 3 ) + ( 30 - 4 ) + ( 30 - 5 ) = 30 + 30 + 30 + 30 + 30 + 30 - ( 1 + 2 + 3 + 4 + 5 ) = 180 - 15 = 165 ( Ans )
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Please find below the solution to the asked query:
Given : A bus shuttles between two neighbouring towns every two hours. It starts from 8 AM in the morning and the last trip is at 6 PM. So
Bus starts trip at : 8 AM , 10 AM , 12 noon , 2 PM , 4 PM and 6 PM
Total number of trips = 6
On one day the driver observed that the first trip had 30 passengers and each subsequent trip had one passenger less than the previous trip. So
Total number of passengers travelled on that day = 30 + ( 30 - 1 ) + ( 30 - 2 ) + ( 30 - 3 ) + ( 30 - 4 ) + ( 30 - 5 ) = 30 + 30 + 30 + 30 + 30 + 30 - ( 1 + 2 + 3 + 4 + 5 ) = 180 - 15 = 165 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards