Maths-

General

Easy

Question

# Nina, Shanti and Belle run a 1000 m race at a constant speed. When Nina crossed the finish line first, she was 200 m ahead of Shanti and 400 m ahead of Belle. When Shanti crossed the finish line, how far ahead of Belle was she?

Hint:

**Hint:**

When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.

The formula of time is

Time =

## The correct answer is: 250 m

### Let the constant speeds of Nina, Shanti and Belle be x, y and z.

Step 1 of 2:

When Nina crossed the finish line, the Distance travelled by Shanti is (1000 - 200 =)800 m and the Distance travelled by Belle is (1000-400 = )600 m.

Time taken by Nina to cross finish line = Time taken by Shanti to travel 800 m

……(1)

Time taken by Nina to cross finish line = Time taken by Belle to travel 600 m

……(2)

From equations (1) and (2)

……(3)

Step 2 of 2:

Time taken by Shanti to travel the remaining 200 m =

Distance travelled by Belle in time = Speed × Time = z ×

So, when Shanti crossed the finish line, position of belle = 600 +

Gap between Shanti and Belle = Final position of Shanti - Final position of Belle

= 1000 - (600 + )

From equation (3), put y =

Gap between Shanti and Belle = 1000 - 600 - = 400 - 150 = 250 m

Final Answer:

Hence, when Shanti crossed the finish line, Shanti was 250 m ahead of Belle.

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