Question

The third set in a tennis match went for

71.28
minutes, which was
8%
longer than the second set. The second set was
10%
longer than the first set.

Answer 1

First set = 60 minutes

Second set = 66 minutes

Explanation:

Given that:

Length of third set = 71.28 minutes ;

Third set was 8% longer than second set ;

Length of second set = x

Third set = (100% + 8%) = 108% of second set

71.28 = 1.08 * x

71.28 = 1.08x

x = 71.28 / 1.08

x = 66

Hence, second set = 66 minutes

Second set was 10% longer than the first

(100 + 10)% of first set = second set

110% of first set = second set

Let first set = y

1.1 * y = 66

1.1y = 66

y = 66 / 1.1

y = 60

Hence, first set = 60 minutes

First set = 60 minutes

Second set = 66 minutes