Question

Three tankers contain 125 litres, 200 litres and 350 litres of petrol. Find the maximum capacity of a container which can measure the petrol in all tankers exactly

Answer 1

Answer:

25 litres.

Step-by-step explanation:

Given -

• Three tankers contain 125 litres, 200 litres and 350 litres of petrol.

To find -

• Maximum capacity of a container which can measure the petrol in all tankers exactly.

Solution -

Amount of petrol present in the first tank = 125 litres.

Amount of petrol present in the second tank = 200 litres.

Amount of petrol present in the third tank = 350 litres.

To measure the three tankers, we need to find the container’s maximum measuring capacity.

We need to find the HCF because the measuring capacity is smaller than 125 litres, 200 litres and 350 litres.

The maximum capacity of container = H.C.F. of (125 , 200 , 350)

The prime factorisation of 125 , 200 and 350 is

125 = 5 × 5 × 5

200 = 2 × 2 × 2 × 5 × 5

350 = 2 × 5 × 5 × 7

∴ H.C.F of (125 , 200 , 350) = 5 × 5

= 25

Hence , the maximum measuring capacity is 25 litres.