Peter, Jane and Mary are typists. Peter type 38 word's per minute. Jane types 4 words less that Peter does per minute. Mary types 3 words more than Peter does per minute.

Question

1. How many words does Jane type in five minutes?
2. How many words does Mary type in ten minutes?
3. How many words do all the three typists altogether in one hour?

Answer 1

Let's find the answers step by step.

1. How many words does Jane type in five minutes?

   Peter types 38 words per minute. Jane types 4 words less than Peter, so: \[ \text{Jane's typing speed} = 38 - 4 = 34 \text{ words per minute} \] In five minutes, Jane will type: \[ \text{Words typed by Jane} = 34 \text{ words/minute} \times 5 \text{ minutes} = 170 \text{ words} \]

2. How many words does Mary type in ten minutes?

   Mary types 3 words more than Peter, so: \[ \text{Mary's typing speed} = 38 + 3 = 41 \text{ words per minute} \] In ten minutes, Mary will type: \[ \text{Words typed by Mary} = 41 \text{ words/minute} \times 10 \text{ minutes} = 410 \text{ words} \]

3. How many words do all three typists type altogether in one hour?

   • Peter's typing speed: 38 words per minute.
   • Jane's typing speed: 34 words per minute.
   • Mary's typing speed: 41 words per minute.

   First, we calculate how many words each typist types in one hour (which is 60 minutes).

   • Words typed by Peter in one hour: \[ 38 \text{ words/minute} \times 60 \text{ minutes} = 2280 \text{ words} \]
   • Words typed by Jane in one hour: \[ 34 \text{ words/minute} \times 60 \text{ minutes} = 2040 \text{ words} \]
   • Words typed by Mary in one hour: \[ 41 \text{ words/minute} \times 60 \text{ minutes} = 2460 \text{ words} \]

   Now, we add them together: \[ \text{Total words} = 2280 + 2040 + 2460 = 6780 \text{ words} \]

In summary:

1. Jane types 170 words in five minutes.
2. Mary types 410 words in ten minutes.
3. All three typists together type 6780 words in one hour.