Question A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?

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 Log in to Reply

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