Question

Christine is typing at a rate of 75 words per

minute. Paula is typing at twice Christine's
speed. If together they need to transcribe a 2000
word paper which of the following expressions
would illustrate the time in minutes, x, it would
take for them to do so.
A) 150
2000X
75
150
B)
+
= 2000
C) 150 + 75 =
2000
2000
D) x =
(150+75)​

Answer 1

X = 2000 / (75 + 150)

Explanation:

Given the following :

Christine's typing rate = 75 words per minute

Paula's speed = 2 times Christine's speed

If 2000 words needs to be transcribed. The time taken in minute 'x' will be :

From the relation :

Time = distance / speed

Distance here is the number of words in the document

Christine's speed = 75 words per minute

Paula's speed = 150 words per minute

Combined speed per minute = 150 + 75 = 225 words per minute

Time taken (x) = 2000 / 225

X = 2000 / (75 + 150)