In a 500 m race, the ratio of speeds of two runners P&Q is 4:5. If P has a start of 100 m, then what is the distance between P and Q at the finish of the race?

Correct option is B

Given Information:

• The ratio of speeds of P and Q = 4:5

• The race distance = 500 m

• P gets a head start of 100 m, meaning P runs only 400 m while Q runs 500 m.

Step 1: Find Time Taken by Both Runners

Since speed = distance/time, the time taken by each runner is:

Let the speeds of P and Q be 4x and 5x respectively.

• Time taken by P to run 400 m:

Time taken by Q to run 500 m:

Since both have the same time, they finish the race together.