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If James can type 30 pages in 4 hours and Jean can type 20 pages in 3 hours,          how long will they be able to type 170 pages if they work together?1 pointA. 10.5 hrB. 12 hrC. 14.5 hrD. 15 hr

Question

If James can type 30 pages in 4 hours and Jean can type 20 pages in 3 hours,          how long will they be able to type 170 pages if they work together?1 pointA. 10.5 hrB. 12 hrC. 14.5 hrD. 15 hr

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Solution

First, we need to find out how many pages each person can type in one hour.

James can type 30 pages in 4 hours, so his typing speed is 30/4 = 7.5 pages per hour.

Jean can type 20 pages in 3 hours, so her typing speed is 20/3 = 6.67 pages per hour.

When they work together, their combined typing speed is 7.5 + 6.67 = 14.17 pages per hour.

To find out how long it will take them to type 170 pages together, we divide the total number of pages by their combined typing speed:

170 / 14.17 = 11.99 hours.

So, it will take them approximately 12 hours to type 170 pages together. Therefore, the answer is B. 12 hr.

This problem has been solved

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