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26 Nov 2019, 01:27
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
69% (02:50) correct
31%
(03:06)
wrong
based on 254
sessions
History
Date
Time
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Renee can mow a lawn in 2 hours, and Jeremy can mow the same lawn in 1 hour and 15 minutes. If Renee starts mowing the lawn at 2:00 P.M., and Jeremy starts helping her at 2:30 P.M., at what time will they finish mowing the lawn, rounded to the nearest minute?
A. 2:35 P.M.
B. 2:50 P.M.
C. 3:05 P.M.
D. 3:25 P.M.
E. 3:55 P.M.
Are You Up For the Challenge: 700 Level Questions
A. 2:35 P.M.
B. 2:50 P.M.
C. 3:05 P.M.
D. 3:25 P.M.
E. 3:55 P.M.
Are You Up For the Challenge: 700 Level Questions
26 Nov 2019, 01:48
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Rate of Renee= 1/120
Rate of J = 1/75
so in 30 mins Renee does ; 30 * 1/120 ; 1/4 work
left 3/4 = time * ( 1/120 + 1/75)
x= ~ 35 mins
time taken to complete = 3: 05 PM
IMO C
Rate of J = 1/75
so in 30 mins Renee does ; 30 * 1/120 ; 1/4 work
left 3/4 = time * ( 1/120 + 1/75)
x= ~ 35 mins
time taken to complete = 3: 05 PM
IMO C
Bunuel
22 Mar 2020, 09:16
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Bunuel
GIVEN:
Renee can mow a lawn in 120 MINUTES
Jeremy can mow the same lawn in 75 MINUTES
A useful approach is to assign a "nice" value to the job.
We want a value that works well with the given information (120 minutes and 75 minutes).
600 is the least common multiple of 120 and 75
So, let's say the entire job (mowing the lawn) requires 600 STEPS
This means Renee can complete 600 steps in 120 minutes. So, Renee's RATE = 5 steps per minute
Similarly, Jeremy can complete 600 steps in 75 minutes. So, Jeremy's RATE = 8 steps per minute
So their, COMBINED rate = 5 + 8 = 13 tasks per hour
If Renee starts mowing the lawn at 2:00 P.M., and Jeremy starts helping her at 2:30 P.M., at what time will they finish mowing the lawn, rounded to the nearest minute?
output = (time)(rate)
So, in the 30 minutes that Rene works ALONE, her output = (30)(5) = 150 steps.
Since the entire job consist of 600 steps, the amount of work REMAINING = 600 - 150 = 450 steps
So, working together, Renee and Jeremy need to complete the remaining 450 steps
Time = output/rate
So, time = 450/13 ≈ 34.6 minutes
Since the two people started working TOGETHER at 2:30 pm, the time at which they have completed the job ≈ 2:30 + 34.6 minutes
≈ 3:05 pm
Answer: C
Cheers,
Brent
