The average weight of 40 passengers in a bus is 58 kg. When the weight of the driver, conductor and their two helpers is included, the aver… — Answer & Discussion

The average weight of 40 passengers in a bus is 58 kg. When the weight of the driver, conductor and their two helpers is included, the average weight increased by 2 kg. When the weight of the bus is also included, the average weight becomes 7 times the average weight of the passengers, driver, conductor and their two helpers. Find the weight of the bus.

A16260 kg
B16480 kg
C16610 kg
D16850 kg

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Discussion 1

CCommunity17 Apr 2019

Average weight of 40 passengers = 58 kg

When driver, conductor & 2 helpers are included, average weight of 40 + 4 = 44 people = 58 + 2 = 60 kg

⇒ Total weight of 44 people = 44 × 60 = 2640 kg

When the weight of bus is also included, average weight = 7 × 60 = 420 kg

⇒ Total weight of bus & 44 people = 45 × 420 = 18900 kg

∴ Weight of bus = 18900 – 2640 = 16260 kg