[918km] A bike rider starts at 60 km/hr and he increases his speed in every 2 hours by 3 km/hr. Then the max

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A bike rider starts at 60 km/hr and he increases his speed in every 2 hours by 3 km/hr. Then the maximum distance covered by him in 24 hours is:

1000km

918km

899 km

none of these

Explanation:

Speed of the rider = 60km/hr.

Distance covered in 1st 2 hours = 60 km.

He increased his speed in every 2 hours by 3 km/hr.

Distance covered in every 2 hours will be, 60, 63, 66,... upto 12 terms.(for 24 hours).

The above series is an A.P series;

Sum of first n terms = (n/2)(2a+(n-1)d)

Here, a = 60, d = 3 and n = 12.

Sum of first 12 terms = (12/2)(2(60)+(11)3) = 6(120 + 33) = 6(153) = 918.

Hence, he covers 918 km in 24 hours.

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