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01 Mar 2023, 23:20
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (02:05) correct
22%
(02:33)
wrong
based on 93
sessions
History
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Not Attempted Yet
Harvey worked alone for 2 hours on a project. After that, he took the help of his sister and they both worked for an hour after which his sister left. Harvey then completed the remaining work in 2 hours. If Harvey alone can complete the whole work in 7 hours, how much time will his sister take to complete the project alone?
A. 3.5
B. 5
C. 5.5
D. 6
E. 7
A. 3.5
B. 5
C. 5.5
D. 6
E. 7
22 Mar 2023, 02:41
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Harvey's rate is 1/7.
Let his sister's rate be 1/x
As per given conditions
Harvey worked for 5 hours is total so he completed 5/7 part of the work.
Since, his sister covered 2/7 part of the work in 1 hr, so she would complete the entire work on her own in 7/2 or 3.5 hr
Answer A
Let his sister's rate be 1/x
As per given conditions
Harvey worked for 5 hours is total so he completed 5/7 part of the work.
Since, his sister covered 2/7 part of the work in 1 hr, so she would complete the entire work on her own in 7/2 or 3.5 hr
Answer A
22 Mar 2023, 20:22
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gmatophobia
This question can be solved within 30 seconds using logical reasoning.
At the end of the project, Harvey worked for 2 + 1 + 2 = 5 hours and his sister worked for 1 hour.
Had Harvey Worked alone, he would have completed the entire work in 7 hours.
Therefore, Harvey saved 2 hours of effort because his sister contributed one hour of effort. This tells us that Harvey's sister is twice as fast as Harvey.
So if Harvey takes 7 hours, his sister will take half the time, i.e. 3.5 hours.
Option A
