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Bob Marley and Elan Musk are standing at a distance of 20 m. Their common friend Vill Gates is standing between them on  straight road such that the distance between Elan and Vill is 4 m. If Vill moved towards Elan so that the distance between Bob and Vill is increased by 8%. Calculate by how much the distance between Vill and Elan decreased ?

Bob Marley and Elan Musk are standing at a distance of 20 m. Their common friend Vill Gates is standing between them on  straight road such that the distance between Elan and Vill is 4 m. If Vill moved towards Elan so that the distance between Bob and Vill is increased by 8%. Calculate by how much the distance between Vill and Elan decreased ? Correct Answer 16%

Given∶

The distance between Bob and Elan is of 20 m.

Vill is standing between Bob and Elan such that the distance between Elan and Vill is of 4 m.

If Vill moved towards Elan so that the distance between Bob and Vill is increased by 8%.

Formula Used∶

Basics of Percentage and Simplification.

Calculation∶

The distance between Bob and Elan is of 20 m.

The distance between Bob and Vill is of 4 m.

The distance between Vill and Elan = 20 m - 4 m = 16 m

Now, the distance between Bob and Vill is increased by 8%

Increase in distance = (8/100) × 4 = 0.32 m

So, increased distance = 4 + 0.32 = 4.32 m

New distance between Elan and Vill = 20 - 4.32 = 15.68 m

Let the decrease in distance between Elan and Vill be x,

Thus, (x/100) × 2 = 0.32

2x = 32

x = 16

∴ The distance between Elan and Vill is decreased by 16%.

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