Answer:
35 metres
Step-by-step explanation:
The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second
Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.
time taken by A = [tex]\frac{D}{1.25}[/tex]
time taken by B = [tex]\frac{D-7}{1}[/tex]
equating both together, we have
[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]
1.25D - 8.75 = D
1.25D - D = 8.75
0.25D = 8.75
D = 8.75/0.25
D = 35
