The average weight of 40 passengers in a bus is 50kg, while the average weight of the passengers along with the
driver and conductor is 51kg. If the weight of the driver is 80kg, what is the weight of the conductor?
Answers
Average weight of 40 students = 50 kgs.
Total weight of 40 students = 50×4050×40 = 2000 kgs. ...(1)
If the weight of the teacher is included the average weight of
40 students + weight of the teacher= 50.5 kgs.
Total weight of 40 students + teacher
= 41×50.541×50.5 = 2070.5 kgs. ...(2)
(2) - (1) gives the weight of the teacher
Weight of the teacher = 2070.5 - 2000 = 70.5 kgs.
Given:
The average weight of 40 passengers in a bus = 50 kg
The average weight of the passengers along with the driver and conductor is 51 kg
The weight of the driver = 80 kg,
To find :
The weight of the conductor.
Solution:
The average weight of 40 passengers in a bus = 50 kg
Total weight of passengers is 40 × 50 = 2000 kg
The average weight of the passengers along with the driver and conductor is 51 kg.
Total weight f the passengers along with the driver and conductor is,
51 × ( 40 + 2 ) = 2142 kg
Therefore,
The weight of drive and the conductor is, 2142 - 2000 = 142 kg
If the weight of the driver is 80kg.
Then, the weight of conductor is, 142 - 80 = 62 kg
Final answer:
The weight of the conductor is 62 kg