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An auto rickshaw meter shows charges of Rs. 25 for the first two kilometres of journey and Rs. 8 for every subsequent kilometre travelled. Manas pays Rs. 249 as fare to travel from his house to his workplace. How far is is workplace from his home?

An auto rickshaw meter shows charges of Rs. 25 for the first two kilometres of journey and Rs. 8 for every subsequent kilometre travelled. Manas pays Rs. 249 as fare to travel from his house to his workplace. How far is is workplace from his home? Correct Answer 30 km

Given:

Charge for first 2 km = Rs 25

The total cost of the journey = Rs 249

Calculation:

Cost of the journey for the first 2 km = 25

Cost of the remaining journey = 249 – 25 = 224

The cost of travelling 1 km after the first 2 km = Rs 8

In Rs 16 the distance travelled = 1 km

In Rs 224 the distance travelled = (1/8) × 224 = 28 km

The total distance of the journey = 2 km + 28 km = 30 km

∴ The distance between work place and home is 30 km

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