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Question

# The Bionic Woman gives Batman a 12 second start in a 2 kilometre race. If the Bionic Woman runs at 5 km/min, and Batman runs at 3 km/min, who will win the race and by how many seconds

## The correct answer is: 4 seconds

### 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 speed is

speed =

Solution

Step 1 of 2:

It is given that Batman is given an early start of 12 seconds. The average speed of the batman is 3 km/min.

Distance travelled by batman in 12 seconds = Speed × Time

= 3 km/min min = km

Distance remaining = 2 - km = km

Time taken by batman to travel km = = = min = 28 seconds.

Step 2 of 2:

The average speed of the batman is 5 km/min.

Time taken by batman to travel 2 km = = min = 24 seconds.

Bionic woman will the race by (28 - 24) 4 seconds.

Final Answer:

Hence, the bionic woman will race by 4 seconds.

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