Question

*The average weight of 10 passengers in a boat is 56 kg. If the average weight of a boat along with the boatman increases by 1 kg, what will be the weight of the boatman ?*

1️⃣ 57 kg
2️⃣ 61 kg
3️⃣ 68 kg
4️⃣ 67 kg​

Answer 1

Answer:

4. 67 kg

Step-by-step explanation:

Average weight of 10 passengers = 56 kg

Total weight = 56 kg × 10 = 560 kg

Avg. weight along with boatman = 56 kg + 1 kg = 57 kg

Tot weight = 57 kg × 11 = 627 kg

Weight of boatman= 627 kg - 560 kg = 67 kg

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Answer 2

Answer:

67 kg

Step-by-step explanation:

If there are n passengers whose weights are given as $w_1,w_2,w_3............w_n$, then average will be calculated as

$\bar w = \frac{w_1+w_2+w_3.+..........+w_n}{n} =\frac{\sum w_i}{n}$.

In above question  average weight of 10 passengers is given as 56kg.

so from the above formula we can get the total sum of weights of each passengers as 10*56 = 560 kg.

New average of 11 passenger (including boatman) is 57 kg. This says that total weight of all passengers including boatman will be 11*57 = 627kg

Weight of the boatman = Total weight of 11 passengers(including boatman)- Total weight of 10 passengers = 627-560 = 67 kg

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