The question given below is a quant problem solving question in Speed Time Races.
A runs 25% faster than B and is able to give him a start of 7 meters to end a race in dead heat. What is the length of the race?
- 10 meters
- 25 meters
- 45 meters
- 15 meters
- 35 meters
The correct choice is (E) and the correct answer is 35 meters
A runs 25% as fast as B.
That is, if B runs 100m in a given time, then A will run 125m in the same time
In other words, if A runs 5m in a given time, then B will run 4m in the same time.
Therefore, if the length of a race is 5m, then A can give B a start of 1m so that they finish the race in a dead heat.
Start : length of race :: 1 : 5
In this question, we know that the start is 7m.
Hence, the length of the race will be 7 * 5 = 35m.