Question

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:

Answer 1

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

Step-by-step explanation:

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.

Their rates is calculated as:

For Lin

Lin read the first 54 pages from a 270-page book in the first 3 days.

54 pages = 3 days

270 pages = x

Cross Multiply

54x = 270 × 3

x = 270 × 3/54

x = 15 days

For Diego

Diego read the first 100 pages from a 320-page book in the first 4 days.

100 pages = 4 days

320 pages = x days

Cross Multiply

100x = 320 × 4

x = 320 × 4/100

x = 12.8 days

For Elena

Elena read the first 160 pages from a 480-page book in the first 5 days.

160 pages = 5 days

480 pages = x days

Cross Multiply

160x = 480 × 5

x = 480 × 5/160

x = 15 days

If they continue to read every day at these rates, who will finish first, second, and third?

Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time