308 views
0 votes
Ajay read 11 1/2 pages in 2/5 of an hour. If he continues reading at the same rate, how many pages will he read in an hour?

User Robbbert
by
6.9k points

1 Answer

4 votes

Final answer:

Ajay reads at a rate of 11.5 pages in 2/5 of an hour; therefore, he will read 28.75 pages in one full hour at that same pace.

Step-by-step explanation:

Ajay read 11 1/2 pages in 2/5 of an hour. To find out how many pages he would read in one hour, you simply set up a proportion or use unit rate calculations.

Assuming he continues reading at the same rate, we first find out how many pages he reads per one part of the hour and then multiply it by the total parts in one hour.

The rate of pages per hour (r) can be calculated using the ratio of pages read to the fraction of the hour passed:

  1. Calculate the rate: Ajay's reading rate is 11.5 pages per 2/5 of an hour.
  2. To find the rate per hour, divide 11.5 by 2/5 (or multiply by the reciprocal 5/2): rate = 11.5 × (5/2).
  3. The result is 28.75 pages per hour, which is the number of pages Ajay will read in one hour at the same rate.

Therefore, Ajay will read 28.75 pages in one hour if he maintains the same reading pace.

User Myles Eftos
by
7.2k points