Emil and Olivia ran a race. Their race times totalled 1 hour 52 minutes. If Emil's time was 4 minutes less than Olivia's time, how many minutes did it take Olivia to run the race?
(A) 78
(B) 56
(C) 58
(D) 74
(E) 55
Solution 1

There are 60 minutes in 1 hour, and so there are $60+52=112$ minutes in 1 hour 52 minutes. If Emil's race time was 54 minutes, then Olivia's race time was 4 minutes more, or 58 minutes. In this case, their race times total $54+58=112$ minutes, as required.

Therefore, it took Olivia 58 minutes to run the race.

## Solution 2

As in Solution 1, the total of their race times is 112 minutes.

If Emil's race time was 4 minutes more, then his race time would be equal to Olivia's, and the total of their race times would be $112+4=116$ minutes.

If their race times are equal and total 116 minutes, then they each finished the race in $116 \div 2=58$ minutes.

Therefore, it took Olivia 58 minutes to run the race.

ANswer: (C)