Copier T prints at a rate of 116 letters in every 2 minutes and Copier U prints at a rate of 160 letters in every 4 minutes. At 3 p.m., both copiers started printing. After a while, Copier T stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier U continued printing during this time. At 5 p.m., the total number of letters printed during the past two hours was 8789. Express the number of letters printed by Copier T as a percentage of the total number of letters printed by both copiers. Round off your answer to 2 decimal places.
Number of letters Copier T prints per min = 116 ÷ 2 = 58
Number of letters Copier U prints per min = 160 ÷ 4 = 40

From 3 p.m. to 5 p.m. = 2 h
1 h = 60 min
2 h = 120 min

Number of letters printed by Copier U in 3 h
= 120 x 40
= 4800

Number of letters printed by Copier T in 3 h
= 8789 - 4800
= 3989

Percentage of the number of letters that Copier T printed over the total number of letters printed
= ³⁹⁸⁹₈₇₈₉ x 100%
≈ 45.39%

Answer(s): 45.39%