# What will the Distance Between P and Q at the Finish of the Race?If

In a 500 m race, the ratio of speeds of two runners P and Q is 3:5. P has a start of 200 m then the distance between P and Q at the finish of the race is:

- Both reach at the same time
- P wins by 100 m
- Q wins by 50 m
- Q wins by 100 m

**Answer: (1) Both reach at the same time**

**Explanation:-**

When P starts running for 300 m and Q for 500 m then, the ratio of speeds of P and Q is 3 : 5.

According to question P has already covered 200 m when Q is starting at starting point and Q needs to cove 300 m more mean while P covers this 300 m when Q can cover 500 m. So, both P and Q will reach the finishing point at the same time.

Thus , the answer is (1) Both reach at the same time.