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In 100m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
A.20mB.25mC.22.5mD.9m

Answer
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Hint: In the given question, we have to find out the value of distance by which A beats B. To solve this question, find out the distance covered by both players and time taken by the winner to reach its goal. Since distance is given. Find out their speeds. A covers 100m in 36secs. Find out the distance covered out by B in 36secs. The answer you will get, subtract it by 100m as 100m/s distance covered A by that time. You will get the resultant answer.

Complete step-by-step answer:
Total distance given 100m.
Time taken by A=36secs.
Speed of A=Distance covered / Time taken
=10036m/s
Again, Distance covered by B=100m.
Time taken by B=45secs.
Speed of B=Distance covered / Time taken
=10045m/s
Now, distance covered by B in 36secs. –
=speed×time
=(10045×36)m
=80m
Bcovered in 80m in 36secs while A covers 100m in 36secs.
So, to get the distance by which A beats B, we will have to distinguish between the distance covered by A & B.
A Beats B by (10080)m=20m.

Hence, option A is correct.

Note: This question was asked and related to an arithmetic topic named – ‘Distance, Speed and Time’. Most of the questions of this topic are solved by using an important form, Distance =speed×time. Other two formulae, speed and time derived from this relation. While substituting the values we must check the units. We should not consider the distance covered by one quantity in ‘km’ and the distance covered by another quantity in ‘m’.
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