A runs 25% faster than B and is able to give him a start of 7 meters to end a race in dead heat.
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?
Answer/Solution
35m
Steps/Work
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
we know that the start is 7m. length of the race will be 7/x=1/5. i.e.7*5=35m.
ANSWER:C
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
we know that the start is 7m. length of the race will be 7/x=1/5. i.e.7*5=35m.
ANSWER:C